Free Printable Reasoning in Algebra and Geometry

Worksheets

Reasoning in Algebra and Geometry

Total questions: 20

Worksheet time: 2hrs 40mins

Name

Class

Date

Identify the property of equality.
If 9=x, then x=9

Reflexive Property of Equality

Symmetric Property of Equality

Symmetric Property of Congruence

Reflexive Property of Congruence

What is Addition property of equality

a. If a=b, then a+c=b+c

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

c. If a=b, then ac=bc

d. If a=b, then a/c=b/c

Identify the property used here:
39=39

Reflexive

Symmetric

Transitive

Substitution

Simplify the expression with the distributive property
6(x + 3)

6x + 3

6x + 18

x + 3

Step 2 is what

Substitution property (simplify)

Multiplication property of equality

Division property of equality

Distributive Property

What is step 4

Substitution property (simplify)

Addition property of equality

Subtraction property of equality

If a = b, then a may be replaced by b in any expression.

Transitive Property

Reflexive Property

Symmetric Property

Substitution Property

For any numbers a, b, and c, if a = b and b = c, then a = c.

Transitive Property of Equality

Symmetric Property of Equality

Transitive Property of Congruence

Symmetric Property of Congruence

For any number a, a = a.

Reflexive Property of Congruence

Reflexive Property of Equality

Symmetric Property of Equality

Substitution Property of Congruence

10.

For any numbers a and b, if a = b, then b = a.

Transitive Property

Reflexive Property

Symmetric Property

Substitution Property

11.

Which property of multiplication is shown below:
6c + 8b = 2(3c + 4b)

Associative

Commutative

Identity

Distributive

12.

Name the property described:
∠B≅∠B

Reflexive Property of Congruence

Reflexive Property of Equality

Transitive Property of Equality

Transitive Property of Congruence

13.

Name the property described: If PQ ≅ RS then RS ≅ PQ

Reflexive Property of Equality

Reflexive Property of Congruence

Symmetric Property of Equality

Symmetric Property of Congruence

14.

Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

Reflexive Property of Congruence

Symmetric Property of Congruence

Transitive Property of Congruence

Addition Property of Congruence

15.

Name the property described: If measure of MN = measure of OP and measure of OP = measure of QR, then measure of MN = measure of QR

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

16.

Name the property described:
m∠1=m∠1

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

17.

Name the property described
If CD = 4, then CD + 12 = 4 + 12

Addition

Subtraction

Substitution

Division

18.

Name the property.
<A≅<A

Transitive Property of Congruence

Symmetric Property of Equality

Reflexive Property of Congruence

Symmetric Property of Congruence

19.

What property was used here?

6(x + 3) = 6x + 18

Transitive Property

Distributive Property

Reflexive Property

Symmetric Property

20.

Use the given property to complete the statement.

Transitive Property of Congruence. $If\ \overline{CD}\cong\overline{EF}\ and\ \overline{EF}\cong\overline{GH},\ then\$ ____.

$\overline{CD}\cong\overline{EF}$

$\overline{EF}\cong\overline{EF}$

$\overline{EF}\cong\overline{GH}$

$\overline{CD}\cong\overline{GH}$

100 %

Reasoning in Algebra and Geometry

Total questions: 20

Worksheet time: 2hrs 40mins

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