Quiz about Geometry Reasoning and Proofs

Question 1

What does it mean to bisect a segment or an angle?

Accepted Answer

Split it into 2 equal parts.

Answer

Split it into 3 equal parts.

Answer

Split into 4 equal parts.

Answer

Double it.

Question 2

In the given proof, what are the reasons for step 1 and 2?

Accepted Answer

Angles that form a linear pair are supplementary.

Answer

Substitution

Answer

Reflexive Property of Congruence

Answer

Angles of equal measure are congruent.

Question 3

In the given proof, what is the reason for step 1?

Accepted Answer

Reflexive Property of Congruence

Answer

Angles that form a linear pair are supplementary.

Answer

Angles of Equal Measure are Congruent

Answer

Definition of a Perpendicular Bisector

Question 4

In the given proof, what is the statement for step 2?

Accepted Answer

$$m∠3+m∠5=180°$$

Answer

Angles that form a linear pair are supplementary. $$m∠1+m∠3=180°$$

Answer

$$m∠1=m∠3$$

Answer

$$\angle3\cong\angle5$$

Question 5

In the given proof, what is the statement for step 2?

Accepted Answer

$$AD≅DB$$

Answer

$$CD≅CD$$

Answer

$$m\angle ADC+m\angle BDC=180\degree$$

Answer

$$\angle ADC\cong\angle BDC$$

Question 6

In the given proof, what is the reason for step 2?

Accepted Answer

Reflexive Property of Congruence

Answer

Alternate Exterior Angle are Congruent

Answer

Angles that form a linear pair are supplementary.

Answer

Alternate Interior Angles are Congruent.

Question 7

I can use definitions in my paragraph proofs.

Accepted Answer

True

Answer

False

Question 8

I can use properties in my paragraph proofs.

Accepted Answer

True

Answer

False

Question 9

I can not use theorems in my paragraph proofs.

Accepted Answer

False

Answer

True

Question 10

What is "given information" in a proof?

Accepted Answer

Words or information from a picture/diagram that is given to the problem solver

Answer

The answer

Answer

The properties you use to write a proof.

Answer

Answer not listed

Question 11

Why are proofs necessary in geometry?

Accepted Answer

Shows that you understand clear, logical thinking

Answer

Because we all love them

Answer

To make this class harder

Question 12

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Accepted Answer

Transitive Property of Congruence

Answer

Reflexive Property of Congruence

Answer

Symmetric Property of Congruence

Answer

Distributive Property

Question 13

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

Accepted Answer

Two lines intersect at a 90 degree angle if and only if they are perpendicular.

Answer

If two lines do not intersect at a 90 degree angle, then the two lines are not perpendicular.

Answer

If two lines intersect at a 90 degree angle if and only if then they are perpendicular.

Answer

If two lines are perpendicular, then they intersect at a 90 degree angle.

Question 14

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

Accepted Answer

If a polygon is a trapezoid, then it is a quadrilateral.

Answer

If a polygon is not a quadrilateral, then it is not a trapezoid.

Answer

If a polygon is not a trapezoid, then it is not a quadrilateral.

Answer

A rectangle is also a quadrilateral.

Question 15

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

Accepted Answer

If the polygon is not a quadrilateral, then it is not a trapezoid.

Answer

If the polygon is not a trapezoid, then it is not a quadrilateral.

Answer

If the polygon is a trapezoid, then it is a quadrilateral.

Answer

A rectangle is also a quadrilateral.

Question 16

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Accepted Answer

Inductive

Answer

Deductive

Question 17

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

Accepted Answer

Deductive

Answer

Inductive

Question 18

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

Accepted Answer

Reflexive

Answer

Substitution

Answer

Commutative

Answer

CPCTC

Geometry Reasoning and Proofs

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