Question 1

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. Which of the following describe a plane?

Accepted Answer

Tracing a line from Tagum Night Market to Gaisano Mall of Tagum, NCCC Mall of Tagum and then going back to Tagum Night Market.

Answer

Tracing a line from Tagum Night Market to Tagum City Historical and Cultural Center.

Answer

Starting point at Tagum Night Market

Answer

Tracing a line from Tagum Night Market to Tagum Old Public Market.

Question 2

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. “Connecting point Gaisano Mall to point NCCC Mall will form a line” is an example of ___.

Accepted Answer

postulate

Answer

non - coplanar points

Answer

vertical lines

Answer

theorem

Question 3

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. “Connecting point Gaisano Mall to point NCCC Mall will form a line” is an example of ___.

60

non - coplanar points

postulate

vertical lines

theorem

Accepted Answer

the roads are parallel

Answer

the roads are perpendicular

Answer

the roads forms vertical angles

Answer

the roads are coplanar

Question 4

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. “Connecting point Gaisano Mall to point NCCC Mall will form a line” is an example of ___.

60

non - coplanar points

postulate

vertical lines

theorem

Accepted Answer

Gaisano Mall is in the middle NCCC Mall and Landbank

Answer

Gaisano Mall forms vertical angles with NCCC Mall and Landbank

Answer

Gaisano Mall is parallel to NCCC Mall and Landbank

Answer

Gaisano Mall is perpendicular to Landbank

Question 5

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. “Connecting point Gaisano Mall to point NCCC Mall will form a line” is an example of ___.

60

non - coplanar points

postulate

vertical lines

theorem

Accepted Answer

theorem

Answer

point

Answer

postulate

Answer

collinear

Question 6

Mrs. Cruz showed a screenshot of the map of Tagum City to illustrate some terms in geometry to his class. The road Pioneer Avenue to Apokon Road is anexample of a ___________.

Accepted Answer

line

Answer

ray

Answer

point

Answer

plane

Question 7

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 8

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

Yes, because the line BD bisects $\angle ABD\ and\ \angle CBD$ .

Answer

Yes, because $\angle ABD\ and\ \angle CBD$ arefrom the vertex angle of isosceles triangle.

Answer

Yes, because the two angles are similar.

Answer

Yes, because it is equally divided in the drawing.

Question 9

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

Yes, because point D is the midpoint of line AC.

Answer

Yes, because the sides are equally drawn.

Answer

No, because you cannot determine their length.

Answer

No, because it is part of the base of an isosceles triangle.

Question 10

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

The two angles are base angles.

Answer

The two angles are between point D.

Answer

The two angles are opposite angles.

Answer

The two angles are in the same line.

Question 11

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

14 meters

Answer

19  meters

Answer

7 meters

Answer

12 meters

Question 12

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

55 degrees

Answer

cannot be determined

Answer

110 degrees

Answer

80 degrees

Question 13

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

$AD\cong BD$ is an angle bisector of $\angle ABC$

Answer

$AD\cong BD$ is an angle bisector and line bisector of $\angle ABC$

Answer

$AD\cong BD$ bisects the isosceles triangle to two similar triangles

Answer

$AD\cong BD$ forms a right angle with $\angle ABC$

Question 14

Dexter, a grade 8 student, drew a design for hi Bridge Project. He used of isosceles triangles to support the weight of the bridge. Line segment AC is the base of the isosceles triangle. Point D is the midpoint of line segment AC and line segment BD is an angle bisector. Which of the following is not true?

Accepted Answer

5 meters

Answer

20meters

Answer

2.5meters

Answer

10meters

Question 15

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. If $\angle ABD\ and\ \angle CBD$ , then what congruence postulate is described in this statement?

Accepted Answer

SAS congruence postulate

Answer

no congruence postulate can be made

Answer

SSS congruence postulate

Answer

ASA congruence postulate

Question 16

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. Which of the following describe an ASA congruence postulate?

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 17

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. If $\angle ABD\ and\ \angle CBD$ then the two triangles are _____________?

Accepted Answer

congruent

Answer

similar

Answer

equiangular

Answer

equilateral

Question 18

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. Which of the following statements do not make $\angle ABD\ and\ \angle CBD$ congruent?

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 19

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. If $\angle ABD\ and\ \angle CBD$ then what is the value of $\angle C$ ?

Accepted Answer

20

Answer

40

Answer

30

Answer

10

Question 20

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. If $\angle ABD\ and\ \angle CBD$ , what is the degree measure of $\angle C$

Accepted Answer

50 degrees

Answer

70 degrees

Answer

40 degrees

Answer

60 degrees

Question 21

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. The sum of all sides of two congruent triangles - and is 20 meters. Then what is the perimeter of each triangles?

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

can not be determined

Question 22

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. The sum of all sides of two congruent triangles - $\angle ABD\ and\ \angle CBD$ is 20 meters. If $\angle C$

Accepted Answer

4

Answer

5

Answer

10

Answer

2

Question 23

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. The sum of all sides of two congruent triangles - $\angle ABD\ and\ \angle CBD$ If $\angle C$ then what is the measures of the $AB\cong CB$

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 24

John made ladder A, and Troy made ladder B. The ladders have different designs but have the same measurement in terms of the height and the legs. They made the ladder in which the two sides are congruent and they concluded that the triangle formed by ladder is congruent. Do you agree with them?

Accepted Answer

No, they need to establish that the top angle of the ladder must also be congruent.

Answer

Yes, because two sides are congruent.

Answer

No, because they need to prove that the base angles of the two triangles formed by the ladder must be congruent.

Answer

Yes, because the two sides are congruent which makes all angles of the triangle formed by the ladder congruent.

Question 25

Roger wrote his solution to prove $\angle ABD\ and\ \angle CBD$ given that OR and MT bisects each other at P. What do you mean by OR and MT bisects each other at P?

Accepted Answer

OP and RP are equal in length.

Answer

OR and MT form vertical angles.

Answer

OR is longer than MT.

Answer

OR and MT intersect each other at P.

Question 26

Roger wrote his solution to prove $\angle ABD\ and\ \angle CBD$ given that OR and MT bisects each other at P. Why $\angle C$ are called vertical angles in statement 3?

Accepted Answer

They are opposite angles formed by two intersecting lines OR and MT.

Answer

They are vertical angles because OR and MT bisects each other at P.

Answer

The two angles are adjacent.

Answer

They are angles whose sum is 180 degrees.

Question 27

Roger wrote his solution to prove $\angle ABD\ and\ \angle CBD$ given that OR and MT bisects each other at P. What would be the reason of Roger in number 4?

Accepted Answer

Vertical angles are congruent.

Answer

Adjacent angles are congruent.

Answer

The angles are supplementary.

Answer

The angles form a linear pair.

Question 28

Roger wrote his solution to prove $\angle ABD\ and\ \angle CBD$ given that OR and MT bisects each other at P. Is the conclusion of Roger correct?

Accepted Answer

No, because two corresponding sides and a corresponding included angle are congruent

Answer

Yes, because OR and PM bisects each other at P which makes the two pair of sides congruent.

Answer

No, because all corresponding sides are congruent.

Answer

Yes, because two angles are congruent and a congruent included side

Question 29

Roger wrote his solution to prove $\angle ABD\ and\ \angle CBD$ given that OR and MT bisects each other at P. In the drawing of Roger, if $\angle C$

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 30

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. What part of the triangles are the distance of the shadows from the top of the post to the ground?

Accepted Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Answer

$AD\cong BD$

Question 31

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. What doesCPCTC stand for?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Congruent Parts of Corresponding Triangles are Congruent

Answer

Congruent Parts of Congruent Triangles are Congruent

Answer

Congruent Parts of Congruent Triangles are Corresponding

Question 32

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. Why $\angle ABD\ and\ \angle CBD$ is an ASA congruence?

Accepted Answer

because $\angle ABD\ and\ \angle CBD$

Answer

because $\angle ABD\ and\ \angle CBD$

Answer

because $\angle ABD\ and\ \angle CBD$

Answer

because $\angle ABD\ and\ \angle CBD$

Question 33

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. Is the proof of Alex, correct?

Accepted Answer

Yes, since the triangles are congruent by ASA congruence postulate then the other corresponding parts are also congruent

Answer

Yes, because there must be 6 statements and 6 reasons.

Answer

No, the reason of statement 5 should be SAS Postulate.

Answer

No, because $\angle ABD\ and\ \angle CBD$ are not right angles.

Question 34

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. Based on the proof of Alex, is the shadow cast by the two posts congruent?

Accepted Answer

Yes, by CPCTC.

Answer

No, the shadow of the first post is longer than the second post.

Answer

Yes, since the posts are the same length.

Answer

No, the proof is lacking.

Question 35

Alex observed that the shadow of two posts formed triangles. He wants to prove that the distance of the shadows from the top of the post to the ground are congruent. Can Alex use the LL theorem in his proof?

Accepted Answer

No, since $\angle ABD\ and\ \angle CBD$ are not proven to be congruent

Answer

Yes, since the triangles are right and $\angle ABD\ and\ \angle CBD$

Answer

No, there is no enough information to use the LL theorem

Answer

Yes, two legs of right triangles are congruent

Question 36

Tomas wants to construct perpendicular lines and angle bisectors in an equilateral triangle he drew below. What is the first step of Tomas to draw the triangle?

Accepted Answer

draw a line segment using ruler

Answer

draw three non –collinear points

Answer

draw a circle using compass

Answer

draw three angles using protractor

Question 37

Tomas wants to construct perpendicular lines and angle bisectors in an equilateral triangle he drew below. What tool Tomas will use to construct angle bisector?

Accepted Answer

straightedge

Answer

tapemeasure

Answer

weighing scale

Answer

compass

Question 38

Tomas wants to construct perpendicular lines and angle bisectors in an equilateral triangle he drew below. How do Tomas construct an angle bisector in an equilateral triangle?

Accepted Answer

locates the midpoint of and connect to point C

Answer

connects the midpoints of $\angle ABD\ and\ \angle CBD$

Answer

locates any point in and connect to point C

Answer

connects any points in $\angle ABD\ and\ \angle CBD$

Question 39

Tomas wants to construct perpendicular lines and angle bisectors in an equilateral triangle he drew below. How do Tomas construct perpendicular line in an equilateral triangle?

Accepted Answer

locates the midpoint of and connect to point C

Answer

connects any points in $\angle ABD\ and\ \angle CBD$ and

Answer

connects the midpoints of $\angle ABD\ and\ \angle CBD$

Answer

locates any point in $\angle ABD\ and\ \angle CBD$ and connect to point C

Question 40

Tomas wants to construct perpendicular lines and angle bisectors in an equilateral triangle he drew below. If a perpendicular line is constructed from point C to line , then what would the drawing of Tomas like?