Question

Rectangle PQRS is shown with its diagonals, PR and QS.

Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.

What type of triangle is △STR?

right triangle
equilateral triangle
isosceles triangle
scalene triangle

Answer 1

Answer:

the triangle is an isosceles triangle

Answer 2

The type of triangle STR is Isosceles triangle

Properties of a rectangle

• Opposite side are parallel
• Opposite sides are congruent
• Opposite angles are congruent
• Diagonal are congruent and they bisect each other.

Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.

Therefore, triangle STR is an Isosceles triangle.

Isosceles triangle have two of it sides equal to each other.

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