Question

q1 - accelerated mathematics gr 8 | lesson: describing sequences of transformations
target due: last monday 0%
which transformation should be applied to a square with vertices at (1,1), (1,3), (3,3), and (3,1) to make it similar and larger?
a. translation 3 units up
b. reflection over the y - axis
c. rotation 180 degrees
d. dilation by a scale factor of 2
a figure is rotated 180 degrees around the origin and then dilated by a scale factor of - 2. how will the coordinates of the point (3, - 4) change?

Explanation:

Step1: Recall transformation properties

Translation moves a figure without changing size or shape. Reflection flips a figure over a line without changing size. Rotation turns a figure around a point without changing size. Dilation changes the size of a figure.

Step2: Identify correct transformation

To make a square similar and larger, dilation is needed. A scale - factor greater than 1 (here 2) will make the square larger while keeping it similar. So dilation by a scale factor of 2 is the correct transformation.

Answer:

d. Dilation by a scale factor of 2