Question

5 multiple answer 1 point consider the proof below. part a: which of the following correctly fills in statement 2? ∠rhw ≅ ∠rxb ∠rhw ≅ ∠rbx ∠rhw ≅ ∠hrw part b: which of the following correctly fills in reason 4? sss - sas - aa -

Explanation:

Part A

Step1: Recall Corresponding Angles Theorem

When two parallel lines (\(\overline{HW}\parallel\overline{XB}\)) are cut by a transversal (\(\overline{RX}\)), corresponding angles are congruent.
The transversal \(\overline{RX}\) cuts the parallel lines \(\overline{HW}\) and \(\overline{XB}\), so \(\angle RHW\) and \(\angle RXB\) are corresponding angles.
By the Corresponding Angles Theorem, \(\angle RHW\cong\angle RXB\)

Part B

Step1: Recall Similar - triangle Criteria

We have two angles: \(\angle HRW\cong\angle XRB\) (by Reflexive Property) and \(\angle RHW\cong\angle RXB\) (from Part A).
The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Answer:

Part A: \(\angle RHW\cong\angle RXB\)
Part B: AA -