Properties Quiz

Geometric Euclidean Proof Prep

Directions: What property explains the mathematical statement below?

Practice

Practice 1

Given: $$ \angle3 = \angle2 $$

Statement: $$ \angle3 − \angle1 = \angle2 − \angle1 $$

What is the reason/justification?

Subtraction property of equality

Practice 1

Given: WY = XZ
Supply the missing reasons below

Statement
Reason
WY = XZ

Given

WYXY = XZXY

Subtraction property of equality

Practice 1

Given: A = B, B = C

Statement: A = C

What is the reason/justification?

Transitive property

Practice 1

Given: $$ \angle A, \angle B $$

picture of angles

Statement: $$ \angle A \cong \angle B $$

What is the reason/justification?

Vertical angles are congruent.

Practice 1

Given: Side AB below

picture of angles

Statement: $$ AB \cong AB $$

What is the reason/justification?

Reflexive property of congruence

Practice 1

Given: A = B, B = 3

Statement: A = 3

What is the reason/justification?

Practice 1

Given: $$ \triangle ABC, \triangle ADF $$

picture of angles

Statement: $$ \angle ABC \cong \angle ADF $$

What is the reason/justification?

Reflexive property of congruence

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