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Which must be true by the corresponding angles theorem?

A
angle 5 is congruent to angle 7
B
angle 1 is congruent to angle 7
C
angle 2 is congruent to angle 6
D
angle 3 is congruent to angle 5
3

Which set of equations is enough information to prove that lines A and b are parallel lines cut by transversal f ?

A
m angle 4 is equal to 110 degrees and m angle 3 is equal to 70 degrees
B
m angle 1 is equal to 110 degrees and m angle 3 is equal to 70 degrees
C
m angle 1 is equal to 110 degrees and m angle 2 is equal to 110 degrees
D
m angle 2 is equal to 110 degrees and m angle 3 is equal to 110 degrees
4

Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

A
alternate exterior angles theorem
B
alternate interior angles theorem
C
converse alternate exterior angles theorem
D
converse alternate interior angles theorem
5

Which lines are parallel? Justify your answer.

A
Lines A and b are parallel because their same side exterior angles are supplementary.
B
Lines A and b are parallel because their alternate exterior angles are congruent.
C
Lines e and f are parallel because their alternate exterior angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are congruent.
6

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Line m slants up to the right and intersects line s on the left and line r on the right. Lines r and s both slant down to the right. At the intersection of m and s, the angle on the left side of the intersection and the opposite angle on the right side are each labeled 89 degrees. No angle measure is shown at the intersection of m and r.
B
Image with description Line m slants up to the right and intersects line s on the left and line r on the right. Lines r and s both slant down to the right. At the intersection of m and s, two adjacent angles on the left side of the intersection are labeled 91 degrees and 89 degrees. No angle measure is shown at the intersection of m and r.
C
Image with description Line m slants up to the right and intersects line s on the left and line r on the right. Lines r and s both slant down to the right. At the intersection of m and s, the angle below line m is labeled 89 degrees. At the intersection of m and r, the angle above line m is labeled 91 degrees.
D
Image with description Line m slants up to the right and intersects line s on the left and line r on the right. Lines r and s both slant down to the right. At the intersection of m and s, the angle above line m is labeled 91 degrees. At the intersection of m and r, the angle above line m is labeled 91 degrees.
7

Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p ? Choose three correct answers.

A
A is equal to c
B
b plus d is equal to 180 degrees
C
b plus c is equal to 180 degrees
D
A is equal to d
E
c is equal to d

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