Question

Rectangle ABCD has coordinates A(-2,4), B(8,4), C(8,-6), and D(-2,-6) Aiesha transforms the rectangle by using the rule (x,y)->(x,1/2y), while Gino transforms the rectangle by using the rule (x,y)-> (1/2x, 1/2y). Which statements are true? (assume the length is the longer side of a rectangle.) Choose all answers taht are correct. A. Aiesha performed a dilation. B. Gino performed a dilation. C. Neither transformations is an isometric transformation. D. The images have the same width but different length. E. The images have the same length but different width.

Answer 1

A) FALSE because x and y were not multiplied by the same value

B) TRUE because x and y were both multiplied by the same value $(\frac{1}{2} )$

C) TRUE. lengths are not preserved with either transformation.

D) TRUE.

E) FALSE.

Explanation for D & E: This is assuming the length is the base and the width is the height.Their heights are equal but their bases are not.

Answer: B, C, D