A quadrilateral with vertices (-3,2), (-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5.

Which matrix represents the quadrilateral after it has been dilated?

A.) 1.5 2.5 - 2 - 3.5

-1 2 - 3 0

B.) - 1.5 - 2.5 2 3.5

1 - 2 3 0

C.) - 4.5 - 7.5 6 10.5

3 - 3 9 0

D.) - 3.5 - 5.5 4.5 7. 5

2.5 - 4.5 6.5 0.5

Question

Mathematics

Angelica Kemp

4 January, 22:33

A quadrilateral with vertices (-3,2), (-5,-4), (4,6), and (7,0) is dilated by a scale factor of 0.5.

Which matrix represents the quadrilateral after it has been dilated?

A.) 1.5 2.5 - 2 - 3.5

-1 2 - 3 0

B.) - 1.5 - 2.5 2 3.5

1 - 2 3 0

C.) - 4.5 - 7.5 6 10.5

3 - 3 9 0

D.) - 3.5 - 5.5 4.5 7. 5

2.5 - 4.5 6.5 0.5

+3

Answers (1)

Know the Answer?

Jethro · Answer 1

Original vertices:

1 (-3, 2)

2 (-5,-4)

3 (4, 6)

4 (7, 0)

dilated by a scale factor of 0.50

1) - 3*0.50 = - 1.5; 2 * 0.50 = 1 ⇒ (-1.5,1)

2) - 5*0.50 = - 2.5; - 4*0.50 = - 2 ⇒ (-2.5,-2)

3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)

4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)

B.)

-1.5 - 2.5 2 3.5

1 - 2 3 0