Exploring Similar Polygons

This video tutorial covers the concept of similar polygons, explaining that they have the same shape but not necessarily the same size. It discusses the properties of similar figures, including congruent corresponding angles and proportional corresponding sides. The tutorial provides examples of similar quadrilaterals and triangles, illustrating how to determine similarity through congruent angles and proportional sides. It also explains the concept of scale factor and demonstrates how to solve for unknowns using proportions in similar figures.

What is the defining characteristic of similar polygons?

• They have different shapes and sizes.

• They have the same shape but not necessarily the same size.

• They have the same size but different shapes.

• They have the same size and shape.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which symbol is used to denote similarity between polygons?

• ≠

• ∼

• ≡

• ≈

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

For two polygons to be similar, what must be true about their corresponding angles?

• They must be complementary.

• They must be congruent.

• They must be proportional.

• They must be supplementary.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In similar polygons, how are the corresponding sides related?

• They are parallel.

• They are perpendicular.

• They are proportional.

• They are equal in length.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the scale factor if the sides of two similar triangles are in the ratio 20:8?

• 2:1

• 5:2

• 4:1

• 10:4

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CCSS.7.G.A.1

If triangle ABC is similar to triangle XYZ, and the scale factor is 5:2, what is the ratio of side AC to side XZ?

• 1:1

• 5:3

• 2:5

• 5:2

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CCSS.HSG.SRT.A.2

What is the first step in determining if two polygons are similar?

• Check if their areas are equal.

• Check if their corresponding angles are congruent.

• Check if their perimeters are equal.

• Check if their corresponding sides are equal.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In the example given, what is the scale factor of triangles ABC and EFD if AB/DE = 12/15?

• 2:3

• 5:4

• 4:5

• 3:4

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CCSS.7.G.A.1

If FG corresponds to BC and FG = x, BC = 7.5, and the ratio is 6:9, what is the value of x?

• 5

• 6

• 7.5

• 9

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

To find the value of y in similar polygons, which sides should be used in the proportion?

• FG and BC

• AD and ED

• EF and AB

• GH and HI

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CCSS.HSG.SRT.A.2