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Worksheets

Geometric Properties

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Name the property of equality that the statement illustrates.

If x = y, then -2x = -2y

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Symmetric Property of Equality

2.

Name the property of equality that the statement illustrates.

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

a)

Reflexive Property of Congruence

b)

Transitive Property of Congruence

c)

Definition of Congruence

d)

Symmetric Property of Congruence

3.

Name the property of equality that the statement illustrates.

If a = b, then a - c = b - c

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

4.

Name the property of equality that the statement illustrates.

If m = n, then n = m

a)

Symmetric Property of Equality

b)

Definition of Congruence

c)

Reflexive Property of Equality

d)

Substitution Property of Equality

5.

Name the property of equality that the statement illustrates.

A = A

a)

Symmetric Property of Equality

b)

Definition of Congruence

c)

Reflexive Property of Equality

d)

Substitution Property of Equality

6.

Name the property of equality that the statement illustrates.

∠G ≅ ∠G

a)

Symmetric Property of Congruence

b)

Definition of Congruence

c)

Reflexive Property of Equality

d)

Reflexive Property of Congruence

7.

Name the property of equality that the statement illustrates.

If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Definition of Complementary Angles

d)

Transitive Property of Congruence

8.

Name the property of equality that the statement illustrates.

If T is the midpoint of JG, then JT ≅ TG

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Definition of Midpoint

d)

Definition of Congruence

9.

Name the property of equality that the statement illustrates.

If ∠H≅∠H, then m∠H=m∠H.

a)

Symmetric Property of Congruence

b)

Reflexive Property of Equality

c)

Reflexive Property of Congruence

d)

Definition of Congruent Angles

10.

Name the property of equality that the statement illustrates.

If ray BD bisects ∠ABC, then ∠ABD≅∠DBC

a)

Definition of Angle Bisector

b)

Definition of Congruent Angles

c)

Definition of Linear Pair

d)

Angle Addition Postulate

11.

Name the property of equality that the statement illustrates.

If m∠D=m∠D, then ∠D≅∠D

a)

Symmetric Property of Congruence

b)

Reflexive Property of Equality

c)

Reflexive Property of Congruence

d)

Definition of Congruent Angles

12.

Name the property of equality that the statement illustrates.

If 13x=39, then x=3

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

13.

Name the property of equality that the statement illustrates.

∠G ≅ ∠G

a)

Symmetric Property of Congruence

b)

Definition of Congruence

c)

Reflexive Property of Equality

d)

Reflexive Property of Congruence

14.

Name the property of equality that the statement illustrates.

a(b + c) = ab +ac

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Distributive Property

d)

Substitution Property of Equality

15.

Name the property of equality that the statement illustrates.

If ∠5 and ∠7 are vertical angles, then ∠5≅∠7

a)

Definition of Vertical Angles

b)

Definition of Linear Pair

c)

Definition of Congruence

d)

Definition of Supplementary

16.

Name the property of equality that the statement illustrates.

If ∠A is a right angle, then m∠A = 90°

a)

Definition of Right Angles

b)

Definition of Complementary Angles

c)

Definition of Supplementary Angles

d)

Substitution Property of Equality

17.

Name the property of equality that the statement illustrates.

If AB = CD and CD = EF, then AB = EF

a)

Symmetric Property of Equality

b)

Reflexive Property of Equality

c)

Substitution Property of Equality

d)

Transitive Property of Equality

18.

Name the property of equality that the statement illustrates.

If ∠K ≅ ∠B, then ∠B ≅ ∠K

a)

Symmetric Property of Congruence

b)

Definition of Congruence

c)

Definition of Angle Bisector

d)

Reflexive Property of Congruence

19.

Name the property of equality that the statement illustrates.

If ∠1 and ∠2 are a linear pair, then ∠1 and ∠2 are supplementary

a)

Definition of Supplementary Angles

b)

Definition of Complementary Angles

c)

Definition of Linear Pair

d)

Definition of Vertical Angles

20.

Name the property of equality that the statement illustrates.

If ∠S and ∠P are supplementary, then m∠S + m∠P = 180°

a)

Definition of Supplementary Angles

b)

Definition of Complementary Angles

c)

Definition of Linear Pair

d)

Definition of Vertical Angles