CONGRUENT

Congruent

Definition Of Congruent

Congruent means having the same measure.

More About Congruent

Congruent 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.
A square and a rectangle have all their angles measuring 90°. So, the angles of a square and a rectangle are congruent.
Congruent Figures have the same shape and size.
example of Congruent
Congruent Segments have the same length.

Video Examples: Congruent

Solved Example on Congruent

Ques: Line CD bisects another line AB at point P. Name any two congruent 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.
example of Congruent
Step 2: Two such angles are angle CPB and angle APD.

Quick Summary

Congruent figures are identical in shape and size.
Congruent segments have equal lengths.
Congruent angles have equal measures.

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🍎 Teacher Insights

Use hands-on activities to demonstrate congruence, such as cutting out shapes and comparing them. Emphasize the importance of precise measurement. Use visual aids to illustrate corresponding parts of congruent figures.

🎓 Prerequisites

Basic geometric shapes (lines, angles, triangles, squares, rectangles)
Understanding of measurement (length, angle measure)
Concept of equality

Check Your Knowledge

Q1: Which of the following statements is true regarding congruent triangles?

They have the same shape but different sizes. They have the same size but different shapes. They have the same shape and the same size. They have different shapes and different sizes.

Q2: If line segment AB is congruent to line segment CD, which statement is true?

AB is longer than CD AB is shorter than CD AB has the same length as CD AB and CD are perpendicular

Frequently Asked Questions

Q: Are two squares always congruent?
A: No, only if they have the same side length are they congruent.

Q: If two triangles have the same angles, are they congruent?
A: Not necessarily. They could be similar but not congruent. They need to have the same side lengths as well.