Question

date: use the figure below to answer questions 1 - 2. 1. classify by sides and angles: a) △pqr b) △qrt c) △rst

Explanation:

Step1: Recall triangle - classification rules

Triangles are classified by sides (scalene, isosceles, equilateral) and angles (acute, right, obtuse). A right - triangle has one 90 - degree angle, an isosceles triangle has two equal sides.

Step2: Analyze $\triangle PQR$

In $\triangle PQR$, there is a right - angle at $Q$ (indicated by the square symbol), and two sides are marked as equal. So, it is a right - isosceles triangle.

Step3: Analyze $\triangle QRT$

In $\triangle QRT$, there is a right - angle at $R$ (square symbol), and two sides are marked as equal. So, it is a right - isosceles triangle.

Step4: Analyze $\triangle RST$

In $\triangle RST$, there is a right - angle at $S$ (square symbol), and two sides are marked as equal. So, it is a right - isosceles triangle.

Answer:

a) Right - isosceles triangle
b) Right - isosceles triangle
c) Right - isosceles triangle