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

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Presentation transcript:

Identifying Angles SolvingParallel Proofs

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

1,2. If and, what is 90

1,3 Line r is parallel to line t. Find measure of angle 5. The diagram is not to scale. 135°

1,4 Give the missing reasons in this proof of the Alternate Interior Angles Theorem. Given: Prove: a. Corresponding angles. b. Vertical angles. c. Transitive Property.

2,1 Name the alternate interior angles. B & E

2,2 Find the values of x and y. The diagram is not to scale. x=77 y=57

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

2,4 Write a two-column proof of this theorem: Given: Prove: StatementsReasons 1.) 2.) 3.) 4.) 1.) Given 2.) Def. of Perpen. 3.) Corresponding Angles 4.) Conv. of Corr. Angles post.

3,1 Complete the statement. If a transversal intersects two parallel lines, then ____ angles are supplementary. Same-Side Interior

3,2 Find the value of x for p to be parallel to q. The diagram is not to scale. x=31

3,3 Find The diagram is not to scale. 60

3,4 Right Angles on Board

4,1 Name all the Same-Side Interior Angles. 5 & 10; 8 & 11; 5 & 8; 10 & 11

4,2 Find The diagram is not to scale. x=64

4,3 Which lines, if any, can you conclude are parallel given that ? Justify your conclusion with a theorem or postulate., by the Converse of the Same-Side Interior Angles Theorem

4,4 1 and 2 suppl. on board

5,1 Name all the Alternate Interior Angles. 6 & 10; 5 & 9; 8 & 12; 7 & 11

5,3 Find the value of x for p to be parallel to q. The diagram is not to scale. x=20

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

5,4 vertical angles on board