Question 1

Which system or structure consists of both defined and undefined terms, axioms or postulates, and theorems?

Accepted Answer

Mathematical system

Answer

Organized system

Answer

Scientific system

Answer

Systematical system

Question 2

What component of a mathematical system consists of a point, a line, and/or a plane?

Accepted Answer

undefined terms

Answer

theorems

Answer

defined terms

Answer

postulates

Question 3

Which of the following does not illustrate an undefined term?

Accepted Answer

office chair

Answer

uncooked spaghetti noodles

Answer

stars in the sky

Answer

flat surface of a table

Question 4

Which of the statements are assumed to be true without proof?

Accepted Answer

postulates

Answer

theorems

Answer

defined terms

Answer

undefined terms

Question 5

What is the angle value of X in the figure below?

Accepted Answer

51°

Answer

93°

Answer

180°

Answer

138°

Question 6

Which of the following tools must be used in constructing perpendicular bisector?

Accepted Answer

Compass and straightedge

Answer

Straightedge only

Answer

Compass only

Answer

Compass and protractor

Question 7

What does CPCTC stand for?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Corresponding Parts of Corresponding Triangles are Congruent

Answer

None of the above

Answer

Congruent Parts of Corresponding Triangles are Congruent

Question 8

Which of the following does NOT belong to the group?

Accepted Answer

diagrams

Answer

theorems

Answer

defined terms

Answer

undefined terms

Question 9

What component of a mathematical system includes a category or has definition such as a ray and an angle?

Accepted Answer

defined terms

Answer

undefined terms

Answer

theorems

Answer

diagrams

Question 10

Which of the following statements is true?

Accepted Answer

If ∠d has a measure of 190°, then ∠d is reflexive

Answer

A. If ∠c has a measure of 120°, then ∠c is acute.

Answer

If ∠b has a measure of 90°, then ∠b is obtuse.

Answer

If ∠a has a measure of 60°, then ∠a is right.

Question 11

Which describes a point?

Accepted Answer

an exact location

Answer

an endless surface

Answer

a straight path

Answer

intersecting paths

Question 12

Without using figure, what is the included angle between (SI) and (IX)?

Accepted Answer

<math>\angle I</math>

Answer

<math>\angle X</math>

Answer

<math>\angle A</math>

Answer

<math>\angle S</math>

Question 13

If corresponding congruent parts are marked, what postulate or theorem can prove two triangles congruent?

Accepted Answer

SSS Postulate

Answer

ASA Postulate

Answer

SAS Postulate

Answer

LL Theorem

Question 14

What congruence postulate is needed so that the congruence between ∆ ABC & ∆ DEF can be guaranteed by the ASA congruence postulate?

Accepted Answer

_{$\overline{AC}\cong\overline{DF}$}

Answer

<math>\overline{AC}\cong\overline{DE}</math>

Answer

<math>\angle A\cong\angle D</math>

Answer

<math>\angle B\cong\angle E</math>

Question 15

The triangles are congruent by what congruence theorem?

Accepted Answer

HL Theorem

Answer

HA Theorem

Answer

LA Theorem

Answer

LL Theorem

Question 16

What is a valid conclusion if ∠x and ∠y are complementary?

Accepted Answer

m∠x + m∠y=90°

Answer

m∠x = m∠y

Answer

m∠x + m∠y=180°

Answer

m∠x ≠ m∠y

Question 17

Which of the following statements illustrates an axiom or postulate?

Accepted Answer

A. Marikina has been known as the Shoe Capital of the Philippines since 1956 because of its notable shoe industry and by virtue of R.A. 650 or Import Control Law.

Answer

Currently, people also struggle from and fight against COVID-19.

Answer

Some said that the virus would not spread with warm weather.

Answer

A. Almost 80 percent of Marikina’s shoe enterprises have ceased operations due to COVID – 19 viruses.

Question 18

If the two sides and an included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangle are congruent by what Postulate?

Accepted Answer

SAS

Answer

SSS

Answer

SAA

Answer

ASA

Question 19

What additional pair of corresponding parts must be equal for the two triangles to be congruent by SAS?

Accepted Answer

<math>\overline{AB}\ \cong\ \overline{AC}\ </math>

Answer

<math>\overline{AD}\ \cong\ \overline{BD}</math>

Answer

<math>\overline{BD}\ \cong\ \overline{DC}</math>

Answer

<math>\overline{AD}\ \cong\ \overline{DC}</math>

Question 20

What are the two congruent angles in the figure?

Accepted Answer

<math>\angle CBD\ and\ \angle ABD</math>

Answer

<math>\angle CDB\ and\ \angle ADB</math>

Answer

<math>\angle CBD\ and\ \angle ABC</math>

Answer

<math>\angle CBA\ and\ \angle ABD</math>

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