100 200 400 300 400 Identifying Angles SolvingParallel Proofs 300 200 400 200 100 500 100.

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Transcript of 100 200 400 300 400 Identifying Angles SolvingParallel Proofs 300 200 400 200 100 500 100.

Page 1: 100 200 400 300 400 Identifying Angles SolvingParallel Proofs 300 200 400 200 100 500 100.
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Identifying Angles

Solving Parallel Proofs

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Row 1, Col 1

Name all the Corresponding Angles.

1 & 9; 6 & 14; 2 & 10; 5 & 13; 3 & 11; 8 & 16; 4 & 12; 7 & 15

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1,2

.

m2?If and , what isc b a c

90

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1,3

Line r is parallel to line t. Find measure of angle 5. The diagram is not to scale.

135°

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1,4

Give the missing reasons in this proof of the Alternate Interior Angles Theorem.Given: Prove:

l n4 6

Statments Reasons

1. l n

2. 2 6

3. 4 2

4. 6 4

1. Given

a. ?

b. ?

c. ?

a. Corresponding angles.b. Vertical angles.

c. Transitive Property.

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2,1

Name the alternate interior angles.

B & E

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2,2

Find the values of x and y. The diagram is not to scale.

x=77 y=57

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2,3

Find the value of the variable if m<1= 2x+44 and m<5 = 5x+ 38. The diagram is not to scale.

x=2

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2,4

Write a two-column proof of this theorem: Given: Prove:

r s, t s

r t

Statements Reasons

1.)

2.)

3.)

4.)

1.) Given

2.) Def. of Perpen.

3.) Corresponding Angles

4.) Conv. of Corr. Angles post.

r s, t s

906;902 mm

62 mm

r t

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3,1

Complete the statement. If a transversal intersects two parallel lines, then ____

angles are supplementary.

Same-Side Interior

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3,2

m1 4x and m3 124 Find the value of x for p to be parallel to q. The diagram is not to scale.

x=31

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3,3

Find The diagram is not to scale..Qm

60

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3,4

Right Angles

on Board

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4,1

Name all the Same-Side Interior Angles.

5 & 10; 8 & 11; 5 & 8; 10 & 11

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4,2

Find The diagram is not to scale..Qm

x=64

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4,3

Which lines, if any, can you conclude are parallel given that ? Justify your conclusion with

a theorem or postulate.m1 m2 180

, by the Converse of the Same-Side Interior Angles Theorem

j k

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4,4

1 and 2 suppl.

on board

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5,1

Name all the Alternate Interior Angles.

6 & 10; 5 & 9; 8 & 12; 7 & 11

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5,3

m1 6x and m3 120 Find the value of x for p to be parallel to q. The diagram is not to scale.

x=20

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5,2

Find the value of the variable if m<1= 2x+30 and m<5 = 5x+ 12. The diagram is not to scale.

x=6

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5,4

vertical angles

on board


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