Exploring Scaled Copies in Geometry

This video tutorial introduces the concept of scaled copies in geometry, explaining how a scaled copy is a figure where every length in the original is multiplied by the same number. It covers corresponding parts such as points, segments, and angles, and explains the scale factor with examples. The video also discusses how to verify if figures are scaled copies by checking corresponding angles and side lengths.

What is a scaled copy of a figure?

• A figure that is identical in size and shape.

• A figure that is mirrored.

• A figure that is rotated but not resized.

• A figure where every length is multiplied by the same number.

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CCSS.7.G.A.1

Which of the following is NOT a characteristic of a scaled copy?

• Corresponding parts are in the same position.

• The shape is distorted.

• All side lengths are multiplied by the same factor.

• All angles remain the same.

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CCSS.7.G.A.1

In a scaled copy, what do corresponding parts refer to?

• Parts that are in the same position in relation to each figure.

• Parts that are rotated.

• Parts that are identical in size.

• Parts that are mirrored.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If polygon 2 is a scaled copy of polygon 1, which of the following is true?

• Polygon 2 has different angle measures than polygon 1.

• Polygon 2 has the same angle measures as polygon 1.

• Polygon 2 is a mirrored version of polygon 1.

• Polygon 2 is a rotated version of polygon 1.

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CCSS.8.G.A.3

What is the scale factor if all lengths in polygon 2 are twice the lengths in polygon 1?

• 1

• 2

• 3

• 4

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CCSS.7.G.A.1

If triangle DEF is a scaled copy of triangle ABC and each side of DEF is four times as long as ABC, what is the scale factor?

• 2

• 3

• 4

• 5

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CCSS.7.G.A.1

If angle C in triangle ABC is 63 degrees, what is the measure of the corresponding angle in the scaled copy?

• 27 degrees

• 90 degrees

• 45 degrees

• 63 degrees

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CCSS.8.G.A.3

If angle D in triangle DEF is 27 degrees, what is the measure of the corresponding angle in triangle ABC?

• 45 degrees

• 27 degrees

• 63 degrees

• 90 degrees

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CCSS.8.G.A.5

Do corresponding angles having the same measures guarantee that two rectangles are scaled copies?

• Yes, always.

• No, side lengths must also be checked.

• Yes, if the angles are right angles.

• No, if the rectangles are different colors.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If different pairs of corresponding lengths have different scale factors, what can be concluded?

• The figures are scaled copies.

• The figures are not scaled copies.

• The figures are mirrored.

• The figures are identical.

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CCSS.8.G.A.3