100 200 400 propertiesangles solving equations proofs 300 200 400 200 100 500 100

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Page 1: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100
Page 2: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

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Properties AnglesSolving

EquationsProofs

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Page 3: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

Row 1, Col 1

Multiplication Property of Equality

If 4x ÷ 2 = 4, then ______.

4x=8

Page 4: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

1,2

.

Name an angle supplementary

to EOD.

DOC or AOE

Page 5: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

1,3

What can you conclud

e?

Page 6: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

1,4

Given:

Prove:

a. Given b. ______

c. ______

d. ______

m1 m3mAFC mDFB

m1 m3m1 m2 m3 m2

m1 m2 AFC

m3 m2 DFB

AFC DFB

Addition Prop. of =

Angle Addition Pos. of =

Substitution

Page 7: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

2,1

Substitution Property of Equality

If ,

then ______.

y 3 and 8x y 12

8x+3=12

Page 8: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

2,2

Supplementary angles are two angles whose

measures have sum ____.Complementary angles are

two angles whose measures have sum ____.

180; 90

Page 9: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

2,3

m3 37

m1Find

37

Page 10: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

2,4

Given: , , and .Find x.

a. _____x – 5 + x – 11 = 100 b. Substitution Property2x – 16 = 100 c. Simplify2x = 116 d. _____x = 58 e. Division Property of Equality

mPQR x 5 mSQR x 11 mPQS 100

mPQR mSQR mPQS Angle Addition Postulate

Addition Prop. of =

Page 11: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

3,1

Name the Property of Congruence that justifies the

statement:

If .XY WX , then WX XY

Symmetric

Page 12: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

3,2

Two angles whose sides are opposite rays are called ____ angles. Two

coplanar angles with a common side, a common vertex, and no common

interior points are called ____ angles.

vertical; adjacent

Page 13: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

3,3

Solve

for x.

x=19

Page 14: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

3,4

Page 15: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

4,1

Name the Property of Congruence that justifies the statement:

A B and B C. then A C

Transitive

Page 16: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

4,2

How are the

two angles

related?

Supplementary

Page 17: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

4,3

Solve for x

and y.

x=15 y=28

Page 18: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

4,4

Page 19: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

5,1

Transitive Property of Congruence

CD EF and EF GH , then

GHCD

Page 20: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

5,2

The complement of an angle is 25°. What is the measure of the angle?

65

Page 21: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

5,3

and are supplementary angles.

, and . Find the measure of each angle.

1 2

m1 x 39 m2 x 61

1 = 40 2= 140

Page 22: 100 200 400 PropertiesAngles Solving Equations Proofs 300 200 400 200 100 500 100

5,4