Math Plane Figure Geometry

Which of these describes the transformation of the triangle?

• Reflection over the x-axis

• Reflection over the y-axis

• Rotation of 90 degrees clockwise about the origin

• Rotation of 180 degrees clockwise about the origin

Tags

CCSS.HSG.CO.B.6

Given the graph below, determine the scale factor for the dilation and whether the dilation is an enlargement or a reduction.

• 1/3; reduction

• 3; enlargement

• 1/3; enlargement

• 3; reduction

Answer explanation

The scale factor of 1/3 indicates that the figure is reduced to one-third of its original size. Since the scale factor is less than 1, this confirms that the dilation is a reduction, making

1/3; reduction

the correct choice.

Tags

CCSS.8.G.A.3

Where is the image of point E located after a counter-clockwise rotation of 90 degrees about point M?

• A

• B

• C

• H

Answer explanation

After a counter-clockwise rotation of 90 degrees, point E moves to the position of point B.

This is determined by visualizing the rotation and the relative positions of the points.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The following figure appears in a math workbook. The students are asked to reflect the polygon across the line, then rotate it 90° clockwise. Which figure shows the result of the two transformations?

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Tags

CCSS.8.G.A.3

Circle the figure below that represents triangle ABC rotated 180 degrees about the point (0, 0).

• A

• B

• C

• D

Answer explanation

Rotating triangle ABC 180 degrees about the origin (0, 0) flips its position from quadrant II to quadrant IV.

Choice C accurately reflects this transformation, showing the triangle in its new location.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle ABC is reflected across the x-axis and then across the y-axis to create triangle A'B'C'. What is the coordinate of A'?

• (-1, 4)

• (1, 4)

• (-1, -4)

• (-4, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The coordinates of A’ after a translation are (5, −4) in the graph illustrated. What are the coordinates of C’?

• (5, −10)

• (−8, −10)

• (2, −6)

• (8, −10)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the xy-plane, what will be the coordinates of the point (-2, -9) after a clockwise rotation of 270 degrees about the origin?

• (-2, 9)

• (-9, 2)

• (2, 9)

• (9, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Locate and draw the lines of symmetry of each of the following figures. Select all figures that have a horizontal line of symmetry.

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Tags

CCSS.4.G.A.3

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Tags

CCSS.HSG.CO.A.2