Similar Polygons Basics

What does it mean for two polygons to be similar?

• Two polygons are similar if they have different areas.

• Two polygons are similar if they have different perimeters.

• Two polygons are similar if they have the same number of sides.

• Two polygons are similar if their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

How can you determine if two polygons are similar?

• Compare the corresponding angles and sides of the two polygons.

• Measure the area of each polygon

• Compare the colors of the polygons

• Count the number of sides of each polygon

Tags

CCSS.7.G.B.5

CCSS.7.RP.A.2

CCSS.7.RP.A.3

If two polygons have the same shape but different sizes, are they similar?

• Yes

• Rarely

• Sometimes

• No

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

What is the condition for two polygons to be similar?

• Interior angles are congruent and exterior angles are proportional.

• Corresponding angles are congruent and corresponding sides are proportional.

• Opposite angles are congruent and opposite sides are proportional.

• Adjacent angles are congruent and adjacent sides are proportional.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Can two polygons be similar if one is a scaled version of the other?

• Maybe

• No

• Yes

• Sometimes

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

What is the role of corresponding angles in determining similarity of polygons?

• Corresponding angles in similar polygons are congruent.

• Corresponding angles in similar polygons are always equal.

• Corresponding angles in similar polygons are supplementary.

• Corresponding angles in similar polygons are not related.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

If two polygons have equal corresponding angles, are they similar?

• Sometimes

• Yes

• No

• Depends on the number of sides

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

What is the significance of corresponding sides in similar polygons?

• Corresponding sides in similar polygons are always equal.

• Corresponding sides in similar polygons are proportional.

• Corresponding sides in similar polygons have different angles.

• Corresponding sides in similar polygons have different lengths.

Tags

CCSS.HSG.SRT.A.2

What is the shortcut method to check for similarity between two polygons?

• Measure the area of one polygon

• Count the number of sides

• Calculate ratios of corresponding sides and angles

• Check the sum of interior angles

Tags

CCSS.HSG.SRT.A.2