Dilations and Similarity Test

Quadrilateral EFGH is dilated with a center at (0, 0) to produce quadrilateral QRST.

Which rule represents the dilation?

Triangle EFG is reflected across the y-axis on a coordinate plane and then dilated by a scale factor of 3 centered at (0, 0) to produce triangle KLM. What is true about the triangles?

Select all the true statements.

• • The triangles are congruent.

• The triangles are similar but not congruent.

• • Triangle KLM has the smallest area.

• • Triangle KLM has the largest area.

• • The area of the triangles is the same.

Trapezoid QRST is a reduction of trapezoid JKLM.

What is the measure of angle STQ? Type just the number in the box.

• Done!

• Done!

Which of these triangles is NOT similar to the given triangle?

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Graphing Question!

Dilate the given preimage of the triangle by a scale factor of 2 centered at (0,0).

Use the provided paper to graph the resulting image, then click "Done!"

• Done!

• Done!

Triangle RST is reflected across a vertical line and then dilated to produce triangle LMN. What is the scale factor of the dilation?

• 2

• 4

Triangle QRS has vertices Q(0, 8), R(8,−8), and S(−7, 1). It is dilated with a center at (0, 0) to produce triangle Q′R′S′ with vertices Q′(0, 56), R′(56,−56), and S′(−49, 7).

What is the scale factor of the dilation? Type just the number in the box.

Triangle ABC is similar to triangle XYZ.

Which sequence of transformations maps triangle ABC onto triangle  XYZ?

• a dilation and then a vertical translation

• a vertical translation and then a clockwise rotation

• a reflection across a vertical line and then a dilation

• a clockwise rotation and then a reflection across a vertical line

Graphing Question!

Quadrilateral PQRS has vertices P(−4, 4), Q(2, 2), R(4,−2), and S(−2,−4).

It is dilated by a scale factor of 5 with a center of dilation at (0, 0).

Use the provided paper to graph the resulting image, then click "Done!"

• Done!

• Done!