Investigate Geometric Transformations

When line AB with endpoints at coordinates A(-5,-4) and B(-3,3) is reflected across the y-axis, A’ will be located at ___________________________

• (5,-4)

• (3,3)

• (-5,4)

• (3,-3)

When line AB with endpoints at coordinates A(-5,-4) and B(-3,3) is reflected across the y-axis, B’ will be located at ___________________________

• (5,-4)

• (3,3)

• (-5,4)

• (3,-3)

Triangle DOG has vertices at D(-7,5), O(-4,2) and G(-4,8). The triangle is translated 2 units down and 2 units to the right. What are the coordinates of O’?

• (-4,2)

• (-4,0)

• (-2,2)

• (-2,0)

Reflections over the x-axis change the ____-__________.

• y-coordinate

• x-coordinate

Match the transformation with the term that describes it.

• Flip

• Rotation

• Turn

• Translation

• Move

• Dilation

• Shrink

• Reflection

Harper completed a transformation of pre-image ABCD that results in the image A’B’C’D’ as shown. Which statements about the relationship between the pre-image and the image can Josh concluded are true?

• The image is both congruent and similar to the preimage because all congruent figures are also similar figures.

• The image is NOT congruent to the preimage because rotations change the length of the line segments and angle measures.

• The image is similar to the preimage because the corresponding sides have a ratio of 1:1.

• The image is NOT similar to the preimage because the areas of the figures are equal.

• The image is congruent to the preimage because the image is the result of a rotation.

What type of transformation is this?

• reflection

• translation

• rotation

• dilation

A person talking on a phone moves the phone to her other ear. What transformation best describes how the phone moved?

• A translation, because the phone moved from one side to the other and is facing in the same direction.

• A reflection, because the phone moved an equal distance across the person’s head and is facing the other direction

• A rotation, because the phone was facing a different direction and is now facing the opposite direction.

• A reflection, because the phone moved the same distance across the person’s head and is facing the same direction.

Which of the following figures shows triangle RST translated 9 units down?

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Which of the following figures shows triangle RST translated 9 units left?

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