Question

Triangle QRS is shown on the coordinate grid. Triangle QRS is dilated with the origin as the center of dilation using the rule (x, y) → (4x, 4y) to create triangle Q'R'S'.

Which statement is true
A)Triangle Q'R'S' is smaller than triangle QRS, because the scale factor is less than 1.
B) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is less than 1.
C) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is greater than 1.
D) Triangle Q'R'S' is smaller than triangle QRS, because the scale factor is greater than 1.

Answer 1

C) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is greater than 1.

Explanation:

We are given that,

Triangle QRS is dilated with origin as the center of dilation.

Since, the rule used is (x, y) → (4x, 4y).

We see that,

The triangle is enlarged by the scale factor 4 because the co-ordinates are multiplied by 4.

Thus, we get that,

Triangle Q'R'S' is larger than the triangle QRS because the scale factor is greater than 1.

Hence, option C is correct.

Answer 2

C) Triangle Q'R'S' is larger than triangle QRS, because the scale factor is greater than 1.

Explanation:

We are given that,

Triangle QRS is dilated with origin as the center of dilation.

Since, the rule used is (x, y) → (4x, 4y).

We see that,

The triangle is enlarged by the scale factor 4 because the co-ordinates are multiplied by 4.

Thus, we get that,

Triangle Q'R'S' is larger than the triangle QRS because the scale factor is greater than 1.

Hence, option C is correct.