rectangle pqrs is shown with its diagonals, $overline{pr}$ and $overline{qs}$. what type of triangle is…

rectangle pqrs is shown with its diagonals, $overline{pr}$ and $overline{qs}$. what type of triangle is $\triangle str$? right triangle equilateral triangle isosceles triangle scalene triangle

rectangle pqrs is shown with its diagonals, $overline{pr}$ and $overline{qs}$. what type of triangle is $\triangle str$? right triangle equilateral triangle isosceles triangle scalene triangle

Answer

Explanation:

Step1: Recall rectangle properties

In a rectangle, the diagonals are equal and bisect each other. So in rectangle (PQRS), (PR = QS) and (PT=TR), (ST = TQ), and (PR = QS) implies (ST=TR).

Step2: Define triangle types

An isosceles triangle has two - equal sides. Since (ST = TR) in (\triangle STR), it is an isosceles triangle.

Answer:

isosceles triangle