Scaled Copies

What does it mean for two figures to be similar?

• They are identical in size and shape.

• They have the same shape but may differ in size, with corresponding angles equal and sides in proportion.

• They are completely different in shape and size.

• They can be transformed into each other through rotation only.

How do you find the scale factor between two similar figures?

• Multiply the lengths of the sides of the original figure by a constant.

• Add the lengths of the corresponding sides of both figures.

• Divide the length of a side of the scaled copy by the length of the corresponding side of the original figure.

• Subtract the length of the original figure from the length of the scaled copy.

If the scale factor is 2, how does the size of the scaled copy compare to the original?

• The scaled copy is twice the size of the original figure.

• The scaled copy is half the size of the original figure.

• The scaled copy is three times the size of the original figure.

• The scaled copy is the same size as the original figure.

What is the scale factor from ΔABC to ΔDEF if the sides of ΔDEF are twice as long as those of ΔABC?

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What is the scale factor from the small fry to the large fry if the large fry is 3 times bigger?

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If the scale factor is 1/3, how does the size of the scaled copy compare to the original?

• The scaled copy is one-half the size of the original figure.

• The scaled copy is one-third the size of the original figure.

• The scaled copy is the same size as the original figure.

• The scaled copy is twice the size of the original figure.

If a rectangle has a length of 10 and a width of 5, what are the dimensions of a scaled copy with a scale factor of 1/2?

• 5 (length) and 2.5 (width)

• 10 (length) and 5 (width)

• 15 (length) and 7.5 (width)

• 2 (length) and 1 (width)

What is a scale factor?

• A scale factor is a number that scales, or multiplies, some quantity. It is the ratio of the lengths of two corresponding sides of two similar figures.

• A scale factor is a measurement of the area of a shape.

• A scale factor is a term used to describe the color of an object.

• A scale factor is a type of mathematical operation that adds two numbers.

Is Figure B a scaled copy of Figure A if they have the same shape but different sizes?

• Yes, Figure B is a scaled copy of Figure A.

• No, they are not related at all.

• Figure B is larger than Figure A, so they cannot be scaled copies.

• Figure B is a different shape than Figure A, making them not scaled copies.

How do you determine if one figure is a scaled copy of another?

• Check if the corresponding angles are equal and the sides are in proportion.

• Ensure that the figures have the same area.

• Verify that the figures are congruent in shape and size.

• Measure the perimeter of both figures and compare.