8.G.A.1-Reteach/Review 2

8.G.A.1-Reteach/Review-2

Multiple Choice

_________ means same shape, different size.

• similar

• congruent

Multiple Choice

When describing a translation you need to include the following information:

• Which way the figure is rotating (clockwise or counterclockwise)

• How many units it is moving and which direction (left, right)

• The line of reflection

Open Ended

Which two directions can a figure rotate?

Multiple Choice

True or False: A reflection is a mirrored image of a figure.

• True

• False

Open Ended

What does it mean if a figure is congruent?

Multiple Choice

True or False: Corresponding angles have the same angle measurements.

• True

• False

Multiple Choice

True or False: Corresponding sides have different length measurements.

• True

• False

Multiple Choice

Identify the transformation from ABCD to A'B'C'D'.

• 90^o rotation
• Translation
• Reflection across the x-axis
• Reflection across the y-axis

Multiple Choice

Describe the transformation shown in the graph.

• Reflect over x-axis
• Reflect over y-axis
• Rotate 180 degrees
• Translate 4 units right

Multiple Choice

What does a translation do to an image?

• Turns it 90* clockwise
• Mirrors it
• Shrinks it
• Slides it

Multiple Choice

Name the transformation.

• Translation
• Reflection
• Rotation

Multiple Choice

Identify the transformation from ABCD to A'B'C'D'.

• Translation
• Reflection across the y-axis
• Reflection across the x-axis
• 90^o counter clockwise Rotation

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)

Multiple Choice

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Multiple Choice

Line segment AB is reflected across the y-axis to form segment CD. Then, segment CD is rotated 180 degrees clockwise to form segment EF. Which statement is TRUE about this transformation?

• Line segment EF is the same length as line segment AB.
• Line segment EF is longer than line segment CD.
• Line segment EF is shorter than line segment AB.
• Line segment CD is shorter than line segment AB.

Multiple Choice

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Multiple Choice

Describe the transformation in the image

• Translation

• Reflection

• Rotation

Multiple Choice

What axis is the triangle being reflected over?

• X-axis

• Y-axis

Multiple Choice

A triangle with points A(2, 3), B(2, -1), and C(4, 2) is rotated 90° clockwise. What algebraic rule describes this transformation?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Multiple Choice

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

Rule: (x, y) ---- ( -x, -y)

• (5,-5)

• (5,5)

• (-5,5)

• (-5,-5)

Multiple Choice

Which pair of angles are congruent?

• <1 & <3

• <4 & <5

• <5 & <3

• <7 & <8

Multiple Choice

In a translation, the preimage and image are ___________.

• congruent
• similar
• different
• red

Multiple Choice

What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

Multiple Choice

Describe the transformation

• slide

• flip

• turn

Multiple Choice

This figure was reflected over which axis?

• x-axis

• y-axis

Multiple Choice

What happens to the x- and y-coordinates of a point, if it is reflected over the x-axis?

• The x-coordinate stays the same and the y-coordinate changes the sign.

• The x-coordinate changes the sign and the y-coordinate stays the same.

• The x-coordinate and the y-coordinate stay the same.

Multiple Choice

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X'Y'Z'. Which statement is true?

• The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y'Z'.

• The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

• Triangle XYZ is not congruent to triangle X'Y'Z'.

• The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

Multiple Choice

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X'Y'Z'. Which statement is true?

• The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y'Z'.

• The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

• Triangle XYZ is not congruent to triangle X'Y'Z'.

• The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

Multiple Choice

Purpose: Understand the idea that the MEASURES and RELATIVE POSITIONS of ANGLES and SIDES of a geometric figure is NOT CHANGED (therefore, preserved) under RIGID TRANSFORMATIONS!!

• a

• b

• c

• d

Multiple Choice

Purpose: Understand the idea that the MEASURES and RELATIVE POSITIONS of ANGLES and SIDES of a geometric figure is NOT CHANGED (therefore, preserved) under RIGID TRANSFORMATIONS!!

• a

• b

• c

• d

Multiple Choice

SEQUENCE (2 or more transformations):

Purpose 1- Recognize that a figure and its REFLECTION will be a MIRROR IMAGE of the image across the x or y-axis.

Purpose 2- Understand that a TRANSLATION in a coordinate plane to the LEFT or RIGHT (changes the x-coordinate) and a TRANSLATION in a coordinate plane UP or DOWN (changes the y-coordinate).

*According to TN 8.G.A.1, students are not required to work with sequences of transformations.

• a

• b

• c

• d