PHS: 7.2 Similar Polygons

Define the term "Similar Polygons"

• Are regular polygons that have same number of sides.

• Are two closed figures where the sides are all line segments.

• Are two polygons similar if and only if their corresponding angles are congruent and corresponding side lengths are proportional.

• When all the angles add up to 180 degrees.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional

• proportional, congruent

• congruent, congruent

• proportional, proportional

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary

When figures are similar, their corresponding angles are__________________.

• congruent
• proportional
• yellow
• obtuse

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the Polygons (triangles) similar? Explain.

• No, because only one angle of the triangles is congruent.

• Yes, because two of the angles are congruent.

• No, because only one triangle has a right angle.

• Not enough information to determine.

Line CB corresponds to...

• EF
• HE
• GF
• HG

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

When figures are similar, their corresponding sides are__________________.

• congruent
• proportional
• invisible

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are these polygons (triangles) similar?

Angles in Triangle 1: 40⁰,60⁰, and 80⁰

Angles in Triangle 2: 40⁰,50⁰, and 90⁰

• Yes

• No

• There is not enough information to decide.

Are the following polygons similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

What is the defintion of Scale Factor?

• Is when the scale factors is less than 1

• The ratio of the lengths of the corresponding sides of two similar polygons to go from pre-image to image.

• Is when the scale factors is greater than 1

• Is when the scale factors is equal to 1