Question 1

What is the relationship between the two consecutive angles of a parallelogram?

Accepted Answer

They are supplementary.

Answer

They are complementary.

Answer

They are congruent.

Answer

They bisect each other.

Question 2

ACEN is a parallelogram, what is true about the diagonal $\overline{\mathrm{AE}}$ ?

Accepted Answer

It divides parallelogram ACEN into two congruent triangles.

Answer

It is perpendicular to any of the sides of parallelogram ACEN.

Answer

It forms complementary angles.

Answer

It bisects the parallelogram.

Question 3

Which is not always true about parallelogram MATH?

Accepted Answer

$\overline{\mathrm{MA}}$ and $\overline{\mathrm{TH}}$ bisect each other.

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$ is a right angle

Answer

$\overline{\mathrm{MA}}$

Question 4

One pair of opposite sides of a parallelogram are represented by $\overline{\mathrm{AE}}$ and $\left(2x+20\right)$ . What is the value of $x$ ?

Accepted Answer

109

Answer

37

Answer

107

Answer

39

Question 5

What is the length of $\overline{\mathrm{AE}}$ (in meters)?

Accepted Answer

15 m

Answer

8 m

Answer

5 m

Answer

2 m

Question 6

Which of the following statements could be false?

Accepted Answer

The diagonals of a rhombus are congruent and perpendicular to each other.

Answer

The diagonals of a rectangle are congruent.

Answer

The diagonals of a square are perpendicular and bisect each other.

Answer

The diagonals of an isosceles trapezoid are congruent.

Question 7

In quadrilateral MATH, diagonals $\overline{\mathrm{AE}}$ and $\left(2x+20\right)$ bisect each other at $x$ and $\overline{\mathrm{MR}}\cong\overline{\mathrm{HR}}$ . Quadrilateral MATH is/are __________.

I. Rectangle

II. Rhombus

III. Square

Accepted Answer

I and III

Answer

I

Answer

II

Answer

II and III

Question 8

Refer to rectangle FIND. If $\overline{\mathrm{AE}}$ , what is the $\left(2x+20\right)$ ?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 9

STAR is a rhombus with diagonal $\overline{\mathrm{AE}}$ . If $\left(2x+20\right)$ and $x$ , what is $\overline{\mathrm{MR}}\cong\overline{\mathrm{HR}}$ ?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 10

$\overline{\mathrm{MA}}$ and $\overline{\mathrm{TH}}$ are diagonals of square LOVE. $\overline{\mathrm{LV}}$ and $\overline{\mathrm{OE}}$ intersect at point $S$ . What is $\overline{\mathrm{LV}}$ if $\overline{\mathrm{SE}}=6$ ?

Accepted Answer

12

Answer

15

Answer

3

Answer

6

Question 11

Complete the statement:

The segment whose (1)_____ are the (2) _____ of two sides of a triangle is (3) ____ to the third side and it has length equal to half the length of the third side.

Accepted Answer

(1) endpoints, (2) midpoint, (3) parallel

Answer

(1) midpoint, (2) endpoints, (3) congruent

Answer

(1) endpoints, (2) midpoint, (3) congruent

Answer

(1) midpoint, (2) endpoints, (3) parallel

Question 12

In $\overline{\mathrm{AE}}$ , I and W are the midpoints of VE and ES respectively. If $\left(2x+20\right)$ and $x$ , find the value of VE.

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 13

Given: $\overline{\mathrm{AE}}$ with $\left(2x+20\right)$ .

Prove: $\overline{\mathrm{OE}}$

Accepted Answer

If two of corresponding angles are congruent, then the triangles are similar.

Answer

If two parallel lines cut by a transversal, then the alternate interior angles are congruent.

Answer

It two parallel lines cut by a transversal, the alternate exterior angles are congruent.

Answer

Vertical angles ae congruent.

Question 14

In the figure illustrated below, if $\overline{\mathrm{AE}}$ , then $\left(2x+20\right)$ _____.

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 15

In the figure illustrated below, if $\overline{\mathrm{AE}}$ and $\left(2x+20\right)$ , then the perimeter is _____.

Accepted Answer

Perimeter=62

Answer

Perimeter=21

Answer

Perimeter=10

Answer

Perimeter=31

Question 16

Refer to parallelogram CALM.

If $\overline{\mathrm{TH}}$ and $\overline{\mathrm{LV}}$ , what is $\overline{\mathrm{OE}}$ ?

Accepted Answer

155

Answer

25

Answer

64

Answer

55

Question 17

Refer to parallelogram CALM.

If $\overline{\mathrm{TH}}$ cm and $\overline{\mathrm{LV}}$ cm, and $\overline{\mathrm{OE}}$ is thrice $S$ , how long is $\overline{\mathrm{LV}}$ ?

Accepted Answer

8 cm

Answer

155 cm

Answer

64 cm

Answer

24 cm

Question 18

Refer to isosceles trapezoid TEAM.

If $\overline{\mathrm{TH}}$ cm, $\overline{\mathrm{LV}}$ cm, and its median is 30 cm.

What is the value of $x$ ?

Accepted Answer

10 cm

Answer

20 cm

Answer

5 cm

Answer

4 cm

Question 19

Refer to isosceles trapezoid TEAM.

If $\overline{\mathrm{TH}}$ cm, $\overline{\mathrm{LV}}$ cm, and its median is 30 cm.

What is the area of trapezoid TEAM if it is 10 m high?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 20

What is the area of the kite MUST, if $\overline{\mathrm{AE}}$ and $\left(2x+20\right)$ ?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 21

Which is NOT a proportion?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 22

What property of proportion is applied to the statement: If $\overline{\mathrm{AE}}$ , then $\left(2x+20\right)$ ?

Accepted Answer

Sum Property

Answer

Cross-Product Property

Answer

Reciprocal Property

Answer

Alternation Property

Question 23

The ratio of male students to female student is $\overline{\mathrm{AE}}$ at a certain school. If there are 300 students in total, how many female students are there in the school?

Accepted Answer

175 students

Answer

150 students

Answer

200 students

Answer

125 students

Question 24

Which of these symbols is used to indicate similarity?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 25

Which pair of figures has a scale factor of $\overline{\mathrm{AE}}$ ?

Accepted Answer

II and III

Answer

I and II

Answer

I and III

Answer

I, II and III

Question 26

Which similarity statements is true among the triangles below?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

None of these

Question 27

What is the scale factor of the similar figures below?

Accepted Answer

4:3

Answer

5:3

Answer

5:2

Answer

7:4

Question 28

Which similarity statements correctly identifies the triangles relationship?

Accepted Answer

$\overline{\mathrm{MA}}$ by SAS Similarity Theorem

Answer

$\overline{\mathrm{MA}}$ by SSS Similarity Theorem

Answer

$\overline{\mathrm{MA}}$ by AAA Similarity Theorem

Answer

$\overline{\mathrm{MA}}$ by AA Similarity Theorem

Question 29

For $\overline{\mathrm{AE}}$ , which of the following is NOT a correct statement?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 30

Use the figure to choose the correct similarity statements for the three triangles?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 31

What is the value of $\overline{\mathrm{AE}}$ ? Round off to the nearest hundredths

Accepted Answer

6.63

Answer

5.55

Answer

3.20

Answer

5.39

Question 32

What is the perimeter of a $\overline{\mathrm{AE}}$ triangle whose hypotenuse is 8 cm long?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Question 33

AB can be found by setting up $\overline{\mathrm{AE}}$ . If $\left(2x+20\right)$ , what is the measure of the hypotenuse AB?

Accepted Answer

90.51

Answer

32.54

Answer

64.69

Answer

20.11

Question 34

Given: C is the midpoint of BE, $\overline{\mathrm{AE}}$ AND $\left(2x+20\right)$ . Which theorem can be applied to show that $x$ ?

Accepted Answer

AA Similarity Theorem

Answer

Right Triangle Similarity Theorem

Answer

SAS Similarity Theorem

Answer

SSS Similarity Theorem

Question 35

The sides of a triangle have lengths 15, 20 and 25. Find the perimeter of a similar triangle whose shortest side is 30.

Accepted Answer

120

Answer

100

Answer

130

Answer

90

Question 36

The length of two sides of a right triangle are leg: 9 m and hypotenuse: 16 m. Find the length of the third side.

Accepted Answer

13.2 m

Answer

28.8 m

Answer

104 m

Answer

14.4 m

Question 37

A girl is 5 feet tall. Her shadow is 8feet long. At the same time of the day, a tree’s shadow is 32 feet long. What is the height of the tree?

Accepted Answer

20 feet

Answer

24 feet

Answer

51 feet

Answer

29 feet

Question 38

In the figure, the two triangles are similar. What is the value of $\overline{\mathrm{AE}}$ ?

Accepted Answer

13.2

Answer

14.0

Answer

18.6

Answer

12.4

Question 39

How long is the diagonal of a TV monitor with height and width of 27 inches and 36 inches respectively?

Accepted Answer

45 inches

Answer

24 inches

Answer

40 inches

Answer

25 inches

Question 40

A large pine tree was struck by lightning and fell as shown by the diagram below. Which equation could be used to find the length of the fallen part of the tree?

Accepted Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

Answer

$\overline{\mathrm{MA}}$

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