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.
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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
1,2
.
m2?If and , what isc b a c
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:
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.
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:
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
3,1
Complete the statement. If a transversal intersects two parallel lines, then ____
angles are supplementary.
Same-Side Interior
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
3,3
Find The diagram is not to scale..Qm
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..Qm
x=64
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
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
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
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