Geometry Practice Test

Mathematical Equivalence

ON

A line segment with endpoints at P(3, 9) and Q(7, -3) is reflected across the y-axis and translated up 5 units. What are the coordinates of the image of point Q?

• (-7, 2)

• (-7, 3)

• (7, 2)

• (-7, -3)

Point Y in quadrant III is reflected across the y-axis and then across the x-axis. In which quadrant is the image of point Y?

• quadrant I

• quadrant II

• quadrant III

• quadrant IV

Fritley has a triangle congruent to the one shown. Which triangle is Fritley's?

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• 
• 
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Addison draws a triangle on coordinate axes. She reflects the triangle across the x-axis and then translates it 9 units to the right. Which statement is true about the triangle formed from these transformations?

• It will be congruent to the original triangle.

• It will be larger than the original triangle.

• It will be smaller than the original triangle.

• It will be a different shape than the original triangle.

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 9 units down. Which of these is a true statement?

• The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

• The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

• The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

• The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Which transformations are applied to figure A to obtain figure B?

• a reflection across the y-axis and then a translation down.

• a rotation about the origin and then a reflection across the y-axis.

• a reflection across the y-axis and then a reflection across the x-axis.

• a rotation about the origin and then a translation down.

Which transformations creates the image 3 from the preimage 1?

• a translation left and then a reflection across the x-axis

• a reflection across the y-axis and then a reflection across the x-axis

• a rotation 90° clockwise and then a translation left

• a translation left and then a translation down

Which statement describes the sequence of the congruence of the two figures shown?

• A rotation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

• A translation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

• A rotation of a plane figure results in an image with corresponding angles and sides that are unequal in measure to the original figure.

• A translation of a plane figure results in an image with corresponding angles and sides that are equal in measure to the original figure.

The coordinate plane shows how triangle TSU has been transformed to form triangle T'S'U'. Which of the following describes the transformation?

• a reflection about the y-axis followed by a translation of 3 units down and 1 unit to the right

• a reflection about the y-axis followed by a translation of 1 unit down and 3 units to the right

• a reflection about the x-axis followed by a translation of 3 units down and 1 unit to the right

• a reflection about the x-axis followed by a translation of 1 unit down and 3 units to the right