Question

Marcus drew rectangle EGFH. then he drew a translation of it, rectangle E'G'F'H' . line segment GH is 5 inches the distance from E to E' is 8 inches. How long is G'H' and GG'?

Answer 1

To find the length of G'H', multiply the length of GH by the scale factor. The length of G'H' is 8 inches. The length of GG' is also 8 inches.

Step-by-step explanation:

To find the length of G'H', we can use the concept of scale factor. The distance from E to E' is 8 inches, and the length of GH is 5 inches. The scale factor, which represents the ratio of the length in the drawing to the actual length, can be calculated by dividing the length of GH in the drawing by the actual length of GH. In this case, the scale factor is 8 inches / 5 inches, which is equal to 1.6.

To find G'H', we can multiply the length of GH by the scale factor. So, 5 inches x 1.6 = 8 inches. Therefore, the length of G'H' is 8 inches.

Similarly, to find GG', we can multiply the length of GH by the scale factor. So, 5 inches x 1.6 = 8 inches. Therefore, the length of GG' is also 8 inches.