similar and congruence

What are the properties of similar figures?

• Opposite corresponding sides and angles

• Proportional corresponding sides and angles

• Equal corresponding sides and angles

• Parallel corresponding sides and angles

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

State the rules of similarity for triangles.

• Two triangles are similar if their corresponding angles are proportional.

• Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional.

• Two triangles are similar if their corresponding angles are not congruent.

• Two triangles are similar if their corresponding sides are not proportional.

Tags

CCSS.HSG.SRT.A.2

If two figures are similar, what can you say about their corresponding angles?

• Corresponding angles are congruent.

• Corresponding angles are always acute.

• Corresponding angles are supplementary.

• Corresponding angles are not related.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In similar figures, what is the relationship between their corresponding sides?

• Parallel

• Proportional

• Equal

• Opposite

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

How can you prove that two triangles are similar?

• Check if the corresponding angles are not congruent and the corresponding sides are proportional.

• Check if the corresponding angles are congruent and the corresponding sides are proportional.

• Ensure that the corresponding angles are proportional and the corresponding sides are congruent.

• Verify if the corresponding angles are congruent but the corresponding sides are not proportional.

Tags

CCSS.HSG.SRT.A.2

What is the ratio of the corresponding sides of similar figures?

• 1:2

• 3:1

• 2:1

• 1:1

Explain the concept of scale factor in similarity.

• Scale factor is the measure of angles in similar figures

• The scale factor in similarity is the ratio of the lengths of corresponding sides of two similar figures.

• Scale factor is the distance between corresponding points in similar figures

• The scale factor is the sum of the areas of two similar figures

Tags

CCSS.7.G.A.1

What is the significance of corresponding angles in similar figures?

• Corresponding angles in similar figures are perpendicular to each other.

• Corresponding angles in similar figures are congruent.

• Corresponding angles in similar figures are always acute angles.

• Corresponding angles in similar figures are equal in measure.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

How does the scale factor affect the area of similar figures?

• The area of similar figures is proportional to the square of the scale factor.

• The area of similar figures is inversely proportional to the scale factor.

• The area of similar figures is divided by the scale factor.

• The scale factor has no impact on the area of similar figures.

Tags

CCSS.7.G.A.1

Discuss the concept of dilation in similarity.

• Dilation in similarity involves reflecting a figure over a line.

• Dilation in similarity involves changing the shape of a figure while keeping its size intact.

• Dilation in similarity involves changing the size of a figure while keeping its shape intact by scaling it up or down around a center point.

• Dilation in similarity involves rotating a figure around a center point.

Tags

CCSS.8.G.A.3