Question

If QN bisects angle PQR and N is the midpoint of PR, how would you classify triangle PQR by its angles and sides?

a) Equilateral
b) Isosceles
c) Scalene
d) Right

Answer 1

Triangle PQR can be classified as an isosceles triangle because the bisector QN and midpoint N make the two sides PQ and QR congruent.

Step-by-step explanation:

Triangle PQR can be classified as an isosceles triangle.

Since QN bisects angle PQR and N is the midpoint of PR, the two sides PQ and QR are congruent. This is because a bisector divides an angle into two equal parts, and the midpoint of a segment divides it into two congruent parts. Therefore, triangle PQR has two congruent sides, making it an isosceles triangle.