Question

part b
circle an answer choice from each list to make the statements true.
∠1 and ∠3 are _(d)_ angles. they are _(e)_ because _(f)_.

a
vertical
corresponding
alternate interior
alternate exterior

b
congruent
not congruent

c
a 180° rotation around point p maps ∠1 onto ∠3
a translation along \\(\overrightarrow{rq}\\) maps ∠1 onto ∠3
no sequence of rigid motio maps ∠1 onto ∠3

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Explanation:

Step1: Identify the type of angles

Vertical angles are formed when two lines intersect. ∠1 and ∠3 are vertical angles.

Step2: Determine congruence

Vertical angles are congruent. So ∠1 and ∠3 are congruent.

Step3: Reason for congruence

A \(180^{\circ}\) rotation around point \(P\) maps ∠1 onto ∠3.

Answer:

D. vertical; E. congruent; F. a \(180^{\circ}\) rotation around point \(P\) maps ∠1 onto ∠3