CONGRUENT ANGLES
Definition Of Congruent Angles
Congruent Angles means having the same measure.
More About Congruent Angles
Congruent Angles angles are angles that have the same measure.
An equilateral triangle has all its angles measuring 60°. So, the angles of an equilateral triangle are Congruent Angles.
A square and a rectangle have all their angles measuring 90°. So, the angles of a square and a rectangle are Congruent Angles.
Congruent Angles Figures have the same shape and size.
Congruent Angles Segments have the same length.
Video Examples: Congruent Angles
Solved Example on Congruent Angles
Ques: Line CD bisects another line AB at point P. Name any two Congruent Angles angles formed.
Choices:
A. Angles APD and CPD
B. Angles CPB and APD
C. Angles APB and APD
D. Angles CPB and CPD
Correct Answer: B
Solution:
Step 1: When a line bisects another line, four right angles are formed.
​​​​​​​Step 2: Two such angles are angle CPB and angle APD.
Quick Summary
- Congruent angles have the same measure.
- Equilateral triangles have three congruent angles.
- Squares and rectangles have four congruent right angles.
🍎 Teacher Insights
Use visual aids and hands-on activities to help students understand the concept of congruent angles. Emphasize that the size of the arc used to measure the angle doesn't affect its measure.🎓 Prerequisites
- Angles
- Measuring angles
Check Your Knowledge
Q1: Which of the following pairs of angles are congruent?
Q2: If angle ABC measures 50°, and angle XYZ is congruent to angle ABC, what is the measure of angle XYZ?
Frequently Asked Questions
Q: Are all right angles congruent?
A: Yes, all right angles measure 90 degrees and are therefore congruent.
Q: Can congruent angles be in different positions or orientations?
A: Yes, congruence only depends on the angle's measure, not its position or orientation.