Question

"UX bisects ∠VUW. Complete the proof that △UWX≅△UVX. I added a photo of the problem; the blank space is either SAS or SSS. What is the missing information for the proof?"

A) Side-angle-side (SAS)
B) Side-side-side (SSS)
C) Angle-side-angle (ASA)
D) Angle-angle-side (AAS)

Answer 1

To prove that △UWX≅△UVX, we need to use the Angle-Side-Angle (ASA) congruence criterion. The missing information for the proof includes the equal angles ∠UWX = ∠UVX and the congruent sides UW = UV.

Step-by-step explanation:

To prove that △UWX≅△UVX, we need to use the Angle-Side-Angle (ASA) congruence criterion. Here's the missing information for the proof:

• Angle: We know that UX bisects ∠VUW, which means that ∠UWX = ∠UVX.
• Side: We need to show that UW = UV.
• Angle: We need to show that ∠WUX = ∠VUX.

With the ASA criterion and the given information, we can conclude that △UWX≅△UVX.