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If triangle PQR is an isosceles triangle with PQ = PR, which of the following is

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Question: If triangle PQR is an isosceles triangle with PQ = PR, which of the following is true?

Options:

  1. PQ = QR
  2. PR = QR
  3. Angle P = Angle Q
  4. Angle P = Angle R

Correct Answer: Angle P = Angle R

Solution: 

In an isosceles triangle, the angles opposite the equal sides are equal, so Angle P = Angle R.

If triangle PQR is an isosceles triangle with PQ = PR, which of the following is

Practice Questions

Q1
If triangle PQR is an isosceles triangle with PQ = PR, which of the following is true?
  1. PQ = QR
  2. PR = QR
  3. Angle P = Angle Q
  4. Angle P = Angle R

Questions & Step-by-Step Solutions

If triangle PQR is an isosceles triangle with PQ = PR, which of the following is true?
  • Step 1: Identify the triangle PQR and note that it is isosceles, meaning two sides are equal.
  • Step 2: Recognize that in triangle PQR, the sides PQ and PR are equal.
  • Step 3: Understand that in an isosceles triangle, the angles opposite the equal sides are also equal.
  • Step 4: Since PQ = PR, the angles opposite these sides (Angle R and Angle P) must be equal.
  • Step 5: Conclude that Angle P = Angle R.
  • Isosceles Triangle Properties – In an isosceles triangle, the angles opposite the equal sides are equal.
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