Double Prime Transformation Geometry Word Problems Similar and Congruent

Which rule shows a scale factor of 4?

• (x, y) → (y, x)

• (x, y) → (x + 4, y + 4)

• (x, y) → (x, -y)

• (x, y) → (4x, 4y)

Tags

CCSS.HSG.CO.A.2

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

Tags

CCSS.8.G.A.3

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

• congruent; a counterclockwise rotation of 90 degrees followed by a translation

• congruent; reflection

• congruent; translation

• not congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are congruent by using transformations. If so, what kind of transformation?

• congruent; a clockwise rotation of 90 degrees followed by a translation

• congruent; a reflection followed by a translation

• congruent; translation

• not congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Harper completed a transformation of pre-image ABCD that results in the image A’B’C’D’ as shown. Which statements about the relationship between the pre-image and the image can Josh concluded are true?

• The image is both congruent and similar to the preimage because all congruent figures are also similar figures.

• The image is NOT congruent to the preimage because rotations change the length of the line segments and angle measures.

• The image is similar to the preimage because the corresponding sides have a ratio of 1:1.

• The image is NOT similar to the preimage because the areas of the figures are equal.

• The image is congruent to the preimage because the image is the result of a rotation.

Tags

CCSS.8.G.A.3

Triangle ABC can be taken to Triangle A'B'C' using rigid motions and a dilation. Select the true equation:

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2