EDGE Math 8

Complete each sentence. Choose the correct answer.

Consider the given figure with $l ∥ m .$

1.	Angles 1 and 3 have equal measures because __________.

they are corresponding angles

they are alternate interior angles

they are alternate exterior angles

they are same-side interior angles

Answer: they are alternate interior angles

2.	If $∠ 3$ measures $50^{\circ},$ then $∠ 4$ measures __________.

50^{\circ}

since they are corresponding angles

50^{\circ}

since they are alternate interior angles

130^{\circ}

since they are same-side exterior angles

130^{\circ}

since they are same-side interior angles

Answer: $130^{\circ}$ since they are same-side interior angles

3.	If $∠ 3$ measures $50^{\circ}$ and $∠ 5$ measures $30^{\circ},$ then $∠ 2$ measures __________.

30^{\circ}

50^{\circ}

100^{\circ}

130^{\circ}

Answer: $100^{\circ}$

4.	The measure of $∠ 4$ is equal to the sum of the measures of __________.

∠ 1

and

∠ 2

∠ 1

and

∠ 5

∠ 2

and

∠ 3

∠ 2

and

∠ 5

Answer: $∠ 2$ and $∠ 5$

5.	If $∠ 3$ and $∠ 8$ are congruent, then $\overset{\leftrightarrow}{A B} ∥ \overset{\leftrightarrow}{C D}$ because __________.

if two lines cut by a transversal form congruent corresponding angles, then the lines are parallel

if two lines cut by a transversal form congruent alternate interior angles, then the lines are parallel

if two lines cut by a transversal form congruent alternate exterior angles, then the lines are parallel

if two lines cut by a transversal form a pair of supplementary same-side interior angles, then the lines are parallel

Answer: if two lines cut by a transversal form congruent corresponding angles, then the lines are parallel

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