Geometry Transformations Quiz

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.A.2

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

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

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.

• 
• 
• 
• 
• 

Tags

CCSS.4.G.A.3

Which letter has point symmetry?

• R

• H

• L

• U

Answer explanation

The letter H has point symmetry because it looks the same when rotated 180 degrees around its center point (it looks the same upside down).

The other letters (R, L, U) do not maintain this symmetry.

Tags

CCSS.HSG.CO.A.4

Point C at (5, 4) is reflected across the y-axis and then rotated 90 degrees clockwise about the origin to Point C'. What are the coordinates of Point C'?

• (-4, -5)

• (-4, 5)

• (4, 5)

• (4, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Look at the figure below. Which statement is true?

• line symmetry exists

• Point symmetry exists

• both line and point symmetry exist

• no symmetry exists

Answer explanation

The figure does not exhibit any line or point symmetry, as there are no axes or points around which the figure can be reflected or rotated to match itself. Therefore, the correct choice is that no symmetry exists.

Tags

CCSS.HSG.CO.A.4

• 
• 
• 
• 

Tags

CCSS.7.G.A.1