Congruency

5.1

Congruency

What is congruency?

Two figures or objects are congruent if they have the same shape and size regardless of their position and arrangement.

Example 1

Determine whether the following shapes are congruent.

Solution:

\[\begin{aligned} BC &= \sqrt{5^2+12^2}\\ &=13\text{ cm}\\ &=RQ.\\\\ \angle PRQ &= 180^\circ - 90^\circ - 22.6^\circ\\ &=67.4^\circ\\ &=\angle ABC. \end{aligned}\]

The measurements of all corresponding sides and angles are equal.
Both shapes are congruent.

Congruency

5.1

Congruency

What is congruency?

Two figures or objects are congruent if they have the same shape and size regardless of their position and arrangement.

Example 1

Determine whether the following shapes are congruent.

Solution:

\[\begin{aligned} BC &= \sqrt{5^2+12^2}\\ &=13\text{ cm}\\ &=RQ.\\\\ \angle PRQ &= 180^\circ - 90^\circ - 22.6^\circ\\ &=67.4^\circ\\ &=\angle ABC. \end{aligned}\]

The measurements of all corresponding sides and angles are equal.
Both shapes are congruent.

Congruency

Congruency

Chapter : Congruence, Enlargement and Combined Transformation

Topic : Congruency

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