Understanding Geometric Transformations

What happens to the x-coordinate when a shape is translated 3 units to the right?

• It increases by 6

• It remains unchanged

• It decreases by 3

• It increases by 3

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

When a shape is translated 3 units down, how does the y-coordinate change?

• It remains the same

• It decreases by 3

• It decreases by 6

• It increases by 3

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What is the rule for a reflection over the y-axis?

• y becomes -y, x remains the same

• No change occurs

• x becomes -x, y remains the same

• Both x and y become their opposites

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Does a reflection change the size of the angles within a shape?

• Yes, all angles decrease

• Yes, all angles increase

• No, angles remain the same size

• Angles are not present in reflections

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Does the orientation of vertices change in a reflection?

• Only in a reflection over the x-axis

• Only in a reflection over the y-axis

• No, never

• Yes, always

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What is the result of a 90 degrees counterclockwise rotation on the coordinates?

• x becomes y, y becomes -x

• Both coordinates switch places

• Coordinates remain unchanged

• x becomes -y, y becomes x

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

How does a 180-degree rotation affect the coordinates of a shape?

• x and y both become their opposites

• x and y switch places

• x and y remain unchanged

• Only x becomes its opposite

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

What is the scale factor in a dilation that reduces a shape's size by half?

• 2

• -0.5

• 0.5

• 1

Tags

CCSS.HSG.SRT.A.1

How does the perimeter of a shape change when it is dilated by a scale factor of 1/3?

• It triples in size

• It reduces to one-third of its original size

• It doubles in size

• It remains the same

Tags

CCSS.HSG.SRT.A.1

In a dilation, if the scale factor is less than 1, what happens to the figure?

• It shrinks

• It enlarges

• It rotates

• It reflects

Tags

CCSS.HSG.SRT.A.1