Properties of Similar and Congruent Figures

The video tutorial explains the concepts of congruent and similar figures in geometry. Congruent figures are identical in shape and size, with equal side lengths and angles. Similar figures have equal angles but their side lengths are proportional, meaning they can be scaled versions of each other. The tutorial uses triangles to illustrate these concepts, showing how to identify congruent sides and angles using hash marks and arches. It also explains how similar figures can be scaled by multiplying side lengths by a constant factor, maintaining proportionality.

What does it mean for two figures to be congruent?

• They have proportional side lengths.

• They have the same shape but different sizes.

• They are identical in size and shape.

• They have different angles but equal side lengths.

What remains unchanged when a congruent figure is rotated or moved?

• Its orientation.

• Its position.

• Its color.

• Its size and shape.

What do hash marks on a figure indicate?

• The color of the figure.

• The position of the figure.

• The congruence of sides.

• The size of the angles.

How are similar figures different from congruent figures?

• They have different angles.

• They are identical in every way.

• They have proportional side lengths.

• They have equal side lengths.

What is true about the angles in similar figures?

• They are proportional.

• They are larger.

• They are different.

• They are congruent.

If one side of a triangle is 7 and its similar figure's corresponding side is 14, what is the scale factor?

• 1

• 2

• 3

• 0.5

What happens to the side lengths of a similar figure when scaled by a factor of 3?

• They remain the same.

• They are divided by 3.

• They are subtracted by 3.

• They are multiplied by 3.

What is necessary for two figures to be considered similar?

• Equal side lengths.

• Congruent angles and proportional side lengths.

• Identical in every way.

• Different shapes.

Which of the following is true about congruent figures?

• They can be different sizes.

• They have proportional side lengths.

• They have equal side lengths and angles.

• They have different angles.

What does it mean for side lengths to be proportional?

• They are different.

• They are multiplied by the same factor.

• They are subtracted by the same number.

• They are equal.