Quiz about Geometry CP 6.7 Dilations Worksheet

Question 1

State whether a dilation with the given scale factor is a reduction or an enlargement.

Accepted Answer

Reduction

Answer

Enlargement

Question 2

State whether a dilation with the given scale factor is a reduction or an enlargement.

Accepted Answer

Enlargement

Answer

Reduction

Question 3

State whether a dilation with the given scale factor is a reduction or an enlargement.

Accepted Answer

Reduction

Answer

Enlargement

Question 4

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor.

Accepted Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of X.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of 1/X.

Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of 1/X.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of X.

Question 5

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor.

Accepted Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of X.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of 0.5X.

Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of 2X.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of X.

Question 6

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor.

Accepted Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of X.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of X.

Answer

The dilation from Figure A to Figure B is an enlargement with a scale factor of Y.

Answer

The dilation from Figure A to Figure B is a reduction with a scale factor of Y.

Question 7

Point A is a vertex of a polygon. Point R is the image of A after the dilation. Find the scale factor of the dilation. 9. A (3, 4) and R (9, 12)

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 8

Point A is a vertex of a polygon. Point R is the image of A after the dilation. Find the scale factor of the dilation. 10. A (9, 12) and R (6, 8)

Accepted Answer

0.75

Answer

0.5

Answer

1

Answer

1.5

Question 9

Point A is a vertex of a polygon. Point R is the image of A after the dilation. Find the scale factor of the dilation. 11. A (-2, -3) and R (-10, -15)

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 10

A line segment has the given endpoints. Use the scale factor to write the ordered pairs after the dilation. 12. A(1,1 ), B (3, 1), and k = 2

Accepted Answer

A'(2,1), B'(6,1)

Answer

A'(2,2), B'(6,2)

Answer

A'(1,2), B'(3,2)

Answer

A'(3,3), B'(9,3)

Question 11

A line segment has the given endpoints. Use the scale factor to write the ordered pairs after the dilation. 13. A(4,4 ), B(8, 12), and k = 3/4

Accepted Answer

A'(3, 3), B'(6, 9)

Answer

A'(3, 4), B'(6, 10)

Answer

A'(4, 4), B'(8, 12)

Answer

A'(5, 5), B'(10, 15)

Question 12

A line segment has the given endpoints. Use the scale factor to write the ordered pairs after the dilation. 14. A(0, 0), B(-3, 2), and k = 5

Accepted Answer

A(0, 0), B(-15, 10)

Answer

A(0, 0), B(-8, 5)

Answer

A(0, 0), B(-3, 2)

Answer

A(0, 0), B(-18, 12)

Question 13

Draw a dilation of the figure using the given scale factor. Scale factor k = 1/4.

Accepted Answer

What is the scale factor used for dilation?

Answer

What is the new size of the figure after dilation?

Answer

What is the original size of the figure?

Answer

What is the scale factor k?

Question 14

Which of the following represents a dilation of the figure using the given scale factor k = 1/2?

Accepted Answer

A figure reduced to half its original size

Answer

A figure enlarged to twice its original size

Answer

A figure with the same size

Answer

A figure reduced to one-third its original size

Question 15

Draw a dilation of the figure using the given scale factor. Scale factor k = 1 1/2.

Accepted Answer

The figure is enlarged by a factor of 1.5

Answer

The figure is reduced by a factor of 1.5

Answer

The figure remains the same

Answer

The figure is rotated by 90 degrees

Question 16

Which of the following represents a dilation of the figure using the given scale factor k = 2?

Accepted Answer

A figure twice the size of the original

Answer

A figure half the size of the original

Answer

A figure the same size as the original

Answer

A figure three times the size of the original

Question 17

Draw a dilation of the polygon with the given vertices using the given scale factor. Plot the ordered pairs on the coordinate plane AND the dilation. A(-2, 1), B(4, 1), C(-2, 4); k = 2.

Accepted Answer

What are the coordinates of the dilated vertices? A(-4, 2), B(8, 2), C(-4, 8)

Answer

What are the coordinates of the dilated vertices? A(-1, 0.5), B(2, 0.5), C(-1, 2)

Answer

What are the coordinates of the dilated vertices? A(-3, 1.5), B(6, 1.5), C(-3, 6)

Answer

What are the coordinates of the dilated vertices? A(-2, 1), B(4, 1), C(-2, 4)

Question 18

What are the coordinates of the vertices of the dilated polygon when the original vertices are A(-5, 5), B(-5, 10), C(10, 0) and the scale factor is k = 3/5?

Accepted Answer

A'(-3, 3), B'(-3, 6), C'(6, 0)

Answer

A'(-4, 4), B'(-4, 8), C'(8, 0)

Answer

A'(-3, 3), B'(-3, 5), C'(5, 0)

Answer

A'(-2, 2), B'(-2, 4), C'(4, 0)

Question 19

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then, find the values of the variables. Figure with rectangle labeled A and rectangle labeled B.

Accepted Answer

The dilation from Figure A to Figure B is a reduction/enlargement. The values of the variables are to be determined.

Answer

The dilation from Figure A to Figure B is an enlargement. The values of the variables are x = 5, y = 10.

Answer

The dilation from Figure A to Figure B is a reduction. The values of the variables are x = 2, y = 4.

Answer

The dilation from Figure A to Figure B is neither a reduction nor an enlargement. The values of the variables are x = 1, y = 1.

Question 20

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then, find the values of the variables. Figure with triangle labeled A and triangle labeled B.

Accepted Answer

The dilation from Figure A to Figure B is a reduction/enlargement, and the values of the variables are to be determined.

Answer

The dilation from Figure A to Figure B is an enlargement, and the values of the variables are already known.

Answer

The dilation from Figure A to Figure B is a reduction, and the values of the variables are irrelevant.

Answer

The dilation from Figure A to Figure B is neither a reduction nor an enlargement, and the values of the variables cannot be determined.

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