Corresponding Parts and Scale Factor

JKLM ~ ABCD What Angle corresponds to <M

• <C

• <A

• <D

• <B

Which side corresponds to AD

• KL

• LM

• JK

• JM

What is the scale factor

• .5

• 3.33

• 2

• .75

Which side corresponds to EF

• AB

• BC

• CA

• DF

The second H-shaped polygon is a scaled copy of the first. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. Consider using colored pencils to highlight corresponding parts or labeling some of the vertices. What scale factor takes the original polygon to its smaller copy? Explain or show your reasoning.

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

• Figure B is larger than Figure A.

• Figure B has the same number of edges as Figure A.

• Figure B has the same perimeter as Figure A.

• Figure B has the same number of angles as Figure A.

• Figure B has angles with the same measures as Figure A.

Polygon B is a scaled copy of Polygon A. What is the scale factor from Polygon A to Polygon B? Explain your reasoning. Find the missing length of each side marked with ? in Polygon B. Determine the measure of each angle marked with ? in Polygon A.

Complete this table to show corresponding parts in the three pictures.

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Student-Facing Task Statement Here is Triangle O, followed by a number of other triangles. Your teacher will assign you two of the triangles to look at. For each of your assigned triangles, is it a scaled copy of Triangle O? Be prepared to explain your reasoning. As a group, identify all the scaled copies of Triangle O in the collection. Discuss your thinking. If you disagree, work to reach an agreement. List all the triangles that are scaled copies in the table. Record the side lengths that correspond to the side lengths of Triangle O listed in each column. Explain or show how each copy has been scaled from the original (Triangle O).

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• 3

Here is Triangle O, followed by a number of other triangles. Your teacher will assign you two of the triangles to look at. For each of your assigned triangles, is it a scaled copy of Triangle O? Be prepared to explain your reasoning. As a group, identify all the scaled copies of Triangle O in the collection. Discuss your thinking. If you disagree, work to reach an agreement. List all the triangles that are scaled copies in the table. Record the side lengths that correspond to the side lengths of Triangle O listed in each column. Explain or show how each copy has been scaled from the original (Triangle O).

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• 3