Question

for a quadrilateral to be a square, the diagonals must be _____________.
○ parallel
○ congruent
○ perpendicular
○ congruent and perpendicular

question 10
1 pts
what is the measure of $\angle kjl?$

Explanation:

Step1: Solve square diagonal question

Recall square diagonal properties: diagonals of a square are equal (congruent) and intersect at 90° (perpendicular). Parallel diagonals do not describe a square.

Step2: Solve parallelogram angle question

First, recognize JKLM is a parallelogram, so $\overline{JK} \parallel \overline{ML}$. $\angle KJL$ and $\angle MLJ$ are alternate interior angles. Given $\angle MLJ = 25^\circ$, so $\angle KJL = 25^\circ$.

Answer:

1. For the square diagonal question: D. Congruent and Perpendicular
2. For $\angle KJL$: $25^\circ$