Geometry Transformations Worksheet

Logan drew △ABC on the coordinate plane, and then reflected the triangle across the y-axis to form △A'B'C'. Which statement is not true about these two triangles?

• △ABC ≅ △A'B'C'

• The two triangles have the same angle measures.

• The vertices of △ABC and △A'B'C' have the same coordinates.

• The triangles have the same side lengths.

Blake drew Square ABCD. Then, he drew the image of it, Square A'B'C'D', 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is B'C'?

• 1 cm

• 3 cm

• 5 cm

• 6 cm

Which statement about the triangles must be true?

• m∠A = m∠O

• ∠C ≅ ∠G

• CA ≅ OG

• CT ≅ DO

Tasha places a protractor on her graph paper. Then, she holds one corner of the protractor still while she turns the rest of the protractor 360° clockwise. Finally, she traces the protractor again. What type of transformation did Tasha perform?

• Duplication

• Translation

• Reflection

• Rotation

Dianne drew a triangle with coordinates (3, 1), (2, 4), and (4, 5). She drew an image of the triangle with coordinates (3, 1), (3, 5), and (4, 2). How did she make the image?

• She translated the original figure 2 units down.

• She translated the original figure 5 units down.

• She reflected the original figure across the x-axis.

• She reflected the original figure across the y-axis.

Regina drew a triangle with vertices at (2, 1), (2, 3), and (4, 1). She slid the triangle 2 units down to create an image. What are the vertices of the image?

• (0, 1), (0, 3), and (4, -1)

• (0, 1), (4, 3), and (4, 3)

• (2, 1), (2, 3), and (2, 1)

• (2, -1), (2, 1), and (4, -1)

Samantha drew △JKL with the coordinates (3, 1), (4, 3), and (5, 2). She reflected this triangle across the x-axis to create an image. What are the coordinates of the image?

• (3, 1), (4, 3), and (5, 2)

• (3, 0), (4, 0), and (5, 0)

• (2, -3), (4, -3), and (5, -2)

• (3, -1), (4, -3), and (5, -2)

Henry drew △FGH. Then, he translates that triangle to create △F'G'H'. The distance from point F to point F' is 4 centimeters. What is the length of GG'?

• 2 cm

• 3 cm

• 4 cm

• 6 cm