Rigid Transformations Math

Suppose a trapezoid with the vertices (-3, -7), (0, 5), (2, 5) and (5, -7) was reflected across the x-axis. Which of these would be a vertex of the reflected figure? Select all that apply.

• (-3,7)

• (2,-5)

• (2,5)

• (5,7)

• (-7,5)

Blake drew square ABCD. Then, he drew the image A'B'C'D' 2 centimeters to the right of the pre-image. Line segment BC is 3 centimeters long. How long is line B'C'?

• 1 cm

• 2 cm

• 3 cm

• 5 cm

• 6 cm

If ΔCAT≅ΔDOG, which statement is true?

• m∠A= m∠O

• ∠C≅∠G

• CA = OG

• CT≅DO

Which translation rule would move Vertex F to a location where F’ would be located in Quadrant 1?

• (x, y)→(x + 7, y + 5)

• (x, y)→(x − 5, y + 7)

• (x, y)→(x + 5, y + 7)

• (x, y)→(x + 7, y − 5)

Logan drew ΔABC on the coordinate plane and then reflected the triangle over the y-axis to form ΔA'B'C'. Which statement is NOT true about these two triangles?

• ΔABC≅ΔA'B'C'

• The two triangles have the same angle measures.

• The vertices of ΔABC and ΔA'B'C' have the same coordinates.

• The triangles have the same side lengths.

Which set of directions describes the translation from ABCD to A'B'C'D'?

• Down 6, left 3

• Down 3, right 6

• Up 3, left 6

• Up 6, right 3

What transformation is this?

• Translation

• Rotation

• Reflection

Reflect over the x axis and find K'.

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)