Dilations — Unit test Answers

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?

Figure G is rotated 90 clockwise about the origin and then reflected over the x-axis, forming figure H. Which sequence of transformations will produce the same results?

Triangle XYZ is rotated 90° counterclockwise about the origin.What are the coordinates of point Y’?

Which sequence of transformations produces A’B’C’ from ABC?

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point , has coordinates of (7.2, 3.6). What is the scale factor of the dilation and what are the coordinates of point ?

Issouf claims that the scale factor is . Which statement about his claim is correct?

Which statement about these rectangles is true?

Segment is dilated using a scale factor of through P. Which segment shows the correct result of the dilation?

Ethan created three triangles: triangle X, triangle Y, and triangle Z. If and , which must also be true?

Triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center of rotation. Which graph shows the rotated image?

Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule , what are the coordinates of triangle ?

What are the coordinates of D’ when the quadrilateral is reflected across the line ?

Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90 about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?

Segment is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?

Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position?

Point A has coordinate A(3, 2). The point is rotated 180° clockwise about the origin. What is the x-coordinate of point A’? ( enter one corrdinate point only )

Which statement correctly identifies the line of reflection?

What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is (–24, 16)?

Square PQRS is rotated 90° clockwise using the origin as the center of rotation. Which graph shows the image P’Q’R’S’?