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Parallel and Intersecting Lines Practice 3: Geometric Reasoning and Parallel Lines and Transversals

Concept Check

Question 1mcq
A transversal cuts two parallel lines. One corresponding angle is 75∘75^\circ. What is the matching corresponding angle?
A.75∘75^\circ
B.105∘105^\circ
C.85∘85^\circ
D.90∘90^\circ
Question 2mcq
A transversal cuts two parallel lines. One corresponding angle is 30∘30^\circ. What is the matching corresponding angle?
A.150∘150^\circ
B.30∘30^\circ
C.40∘40^\circ
D.90∘90^\circ
Question 3mcq
A transversal cuts two parallel lines. One corresponding angle is 35∘35^\circ. What is the matching corresponding angle?
A.145∘145^\circ
B.45∘45^\circ
C.35∘35^\circ
D.90∘90^\circ
Question 4mcq
A student claims two angles forming a straight line are both 30∘30^\circ. When is this possible?
A.always possible for any equal angles
B.never possible
C.only if each is 90∘90^\circ
D.only if each is acute
Question 5mcq
A student claims two angles forming a straight line are both 35∘35^\circ. When is this possible?
A.always possible for any equal angles
B.never possible
C.only if each is acute
D.only if each is 90∘90^\circ
Question 6mcq
A student claims two angles forming a straight line are both 40∘40^\circ. When is this possible?
A.only if each is 90∘90^\circ
B.always possible for any equal angles
C.never possible
D.only if each is acute

Apply and Solve

Question 7mcq
A student claims two angles forming a straight line are both 35∘35^\circ. When is this possible?
A.only if each is 90∘90^\circ
B.always possible for any equal angles
C.never possible
D.only if each is acute
Question 8mcq
A student claims two angles forming a straight line are both 40∘40^\circ. When is this possible?
A.always possible for any equal angles
B.only if each is 90∘90^\circ
C.never possible
D.only if each is acute
Question 9mcq
A student claims two angles forming a straight line are both 45∘45^\circ. When is this possible?
A.always possible for any equal angles
B.never possible
C.only if each is 90∘90^\circ
D.only if each is acute
Question 10mcq
A student claims two angles forming a straight line are both 40∘40^\circ. When is this possible?
A.always possible for any equal angles
B.never possible
C.only if each is 90∘90^\circ
D.only if each is acute
Question 11mcq
A student claims two angles forming a straight line are both 45∘45^\circ. When is this possible?
A.always possible for any equal angles
B.never possible
C.only if each is acute
D.only if each is 90∘90^\circ
Question 12mcq
A student claims two angles forming a straight line are both 50∘50^\circ. When is this possible?
A.only if each is 90∘90^\circ
B.always possible for any equal angles
C.never possible
D.only if each is acute