Question

△AXW≅△LVP. If WA = 25WA=25, find PLPL.

PLPL


can or cannot be determined

Answer 1

In △AXW ≌ △LVP, if WA = 25, then PL = 25.

The given information "△ AXW ≌ △ LVP" indicates that triangles AXW and LVP are congruent. Congruent triangles have corresponding sides and angles equal.

Given that WA = 25, this corresponds to the side LV in △ LVP. Therefore, LV = 25.

Since the triangles are congruent, the corresponding sides are equal. So, PL corresponds to XW. Therefore, PL = XW.

Therefore, PL = XW = LV = 25. So, PL is also equal to 25.

Answer 2

Yes, PL can be determined. The length of PL is equal to 25 units.

In Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding side lengths are proportional to the lengths of corresponding sides when two triangles are similar.

Based on the side, side, side (SSS) similarity postulate, we can logically deduce the following congruent sides and triangles;

AX ≅ LV

AW ≅ LP

XW ≅ VP

△AXW ≅ △LVP

Since side WA or AW is conguren to PL or LP, the length of PL must be equal to 25 units.

Complete Question:

△AXW≅△LVP. If WA = 25, find PL