Question

name the isosceles triangles in the figure. select all the isosceles triangles in the figure. a. $\triangle uwy$ b. $\triangle vwx$ c. $\triangle xyz$ d. $\triangle uvz$ e. $\triangle wxz$ f. $\triangle uxz$

Explanation:

Step1: Identify isosceles triangle rule

An isosceles triangle has at least two equal angles (or sides).

Step2: Analyze △UWY

$\angle U = \angle W$, so it has two equal angles.

Step3: Analyze △UVZ

$\angle U = \angle VZU$, so it has two equal angles.

Step4: Analyze △WXZ

$WX \parallel VZ$, $WZ \parallel VX$, so $WX=VZ$, $WZ=VX$. Also $\angle W = \angle VZU = \angle U = \angle WXZ$, so $\angle W = \angle WXZ$, giving two equal angles.

Step5: Eliminate other triangles

△VWX, △XYZ, △UXZ have no marked/implied equal angles/sides.

Answer:

A. $\Delta UWY$, D. $\Delta UVZ$, E. $\Delta WXZ$