Question

Segment GH has endpoints (3, 4) and (4, 5). What series of transformations would result in G’H’ with endpoints (10, 12) and (13, 15)?

1 point
Enlarge by scale factor of 2 about the origin. Then translate 4 right and 4 up.
Enlarge by scale factor of 3 about the origin. Then translate 1 right.
Enlarge by scale factor of 2 about the origin. Then translate 5 right and 5 up.
Enlarge by a scale factor of 3 about the origin. Then translate 1 up.

Answer 1

(B)Enlarge by scale factor of 3 about the origin. Then translate 1 right.

Explanation:

For the end point (3,4)

• If we enlarge (3,4) by a scale factor of 3 about the origin, we have: (9,12)
• If we then translate 1 right, we have :(10,12)

Similarly for the end point (4,5):

• If we enlarge (4,5) by a scale factor of 3 about the origin, we have: (12,15)
• If we then translate 1 right, we have :(13,15)

The correct option is B.