Logic Statements and Proofs in Geometry

Logic Statements and Proofs in Geometry

10th Grade

20 Qs

quiz-placeholder

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Logic Statements and Proofs in Geometry

Logic Statements and Proofs in Geometry

Assessment

Quiz

Mathematics

10th Grade

Easy

CCSS
MATH.CONTENT.HSG.CO.C.9

Standards-aligned

Created by

Anthony Clark

Used 1+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Reflexive Property of Congruence

Symmetric Property of Congruence

Distributive Property

Transitive Property of Congruence

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the missing reason in the proof?

Addition

Segment Addition Postulate

Substitution

Transitive Property

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the missing statement in the proof?

m∠ABD+m∠DBC=m∠ABC

m∠ABD=m∠DBC

m∠ABC=m∠ABC

none of the other choices are correct

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which is the correct reason for statements 2 and 4 in the proof?

Given

Transitive Property

Definition of Congruent Angles

Vertical Angles are congruent.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Fill in the blanks to complete the geometric proof:

∠PQR = 38; B: Definition of Complementary Angles; C: Subtraction

Property of Equality

∠PQR = 38; B: Definition of Supplementary Angles; C: Reflexive Property

∠PQR = 38; B: Definition of Vertical Angles; C: Transitive Property

∠PQR = 38; B: Definition of Complementary Angles; C: Substitution

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What reason justifies statement #2?

Definition of Midpoint

Transitive Property

Addition Property

Segment Addition Postulate

Substitution Property

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How can you prove step #2?

Vertical angle theorem

Subtraction property of equality

Transitive property of congruence

Definition of supplementary angles

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