Question

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

Explanation:

Step1: Recall properties of rectangle diagonals

In a rectangle, diagonals are equal and bisect each other. So \( PT = TQ=TR = TS\).

Step2: Analyze triangle \( \triangle STR\)

Since \( TS = TR\), by the definition of an isosceles triangle (a triangle with at least two equal - length sides), \(\triangle STR\) has two equal sides.

Answer:

isosceles triangle