Congruent and Similar Transformations

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

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

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• All Angles Equal

Tags

CCSS.8.G.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

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• the figures are not similar.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

Tags

CCSS.8.G.A.2

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Tags

CCSS.8.G.A.3

Determine if the two figures are similar by using transformations.

• similar; a reflection and a dilation map one figure onto the other.

• similar; a rotation and a dilation map one figure onto the other.

• similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Tags

CCSS.8.G.A.3