Question

rectangle pqrs is shown with its diagonals, pr and qs. what type of triangle is △str? right triangle equilateral triangle isosceles triangle scalene triangle

Explanation:

Step1: Recall properties of rectangle diagonals

In a rectangle, the diagonals are equal and bisect each other. So in rectangle $PQRS$ with diagonals $PR$ and $QS$ intersecting at $T$, we have $PT = TR$ and $QT=TS$.

Step2: Analyze $\triangle STR$

Since $QT = TS$ and $PT=TR$, in $\triangle STR$, $ST = TR$. A triangle with two equal - length sides is an isosceles triangle.

Answer:

isosceles triangle