Question

using the diagram below classify the angle pairs as corresponding, alternate interior, alternate exterior, consecutive interior, or none.

Answer 1

Answer:

a. ∠4 and ∠7 are consecutive interior angles

b. ∠2 and ∠11 are alternate exterior angles

c. ∠12 and ∠16 are corresponding angles

d. ∠8 and ∠13 are alternate interior angles

e. ∠11 and ∠15 are corresponding angles

f. ∠7 and ∠10 none

g. ∠1 and ∠14 are alternate exterior angles

h. ∠12 and ∠15 are consecutive interior angles

i. ∠6 and ∠7 none

j. ∠1 and ∠3 are corresponding angles

k. ∠12 and ∠16 are corresponding angles

l. ∠6 and ∠15 are alternate exterior angles

m. ∠5 and ∠10 are alternate interior angles

n. ∠8 and ∠14 are consecutive interior angles

Step-by-step explanation:

Corresponding angles are angles in similar corners of two lines that are crossed by a transversal

Alternate interior angles are angles formed on the inside but opposite sides of two lines crossed by a transversal

Alternate exterior angles are angles formed on the exterior or outer but opposite sides of two lines crossed by a transversal

Consecutive interior angles are angles on the interior part of the two lines crossed by a transversal and on the same side of the transversal

Answer 2

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

First, we need to understand how angles found on parallel lines are paired and classified. An image showing the angle pairs have been attached below.

• Corresponding angles pairs are indicated by the red color, orange color, and the blue colors because they occupy the same corner along the transversal line.

• Alternate interior angles are positioned opposite each other along the transversal line, but are inside the two parallel lines. They are the green angles.

• Alternate exterior angles are outside the parallel lines but lie opposite each other along the transversal. They are indicated by yellow.

• Consecutive angles lie opposite each other within the parallel lines. They are colored pink.

Therefore, the angles given can be classified similarly using the image as:

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

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