Similarity

Tags

CCSS.8.G.A.3

Malcolm drew a scale drawing of his apartment. Which statement about the relationship between the scale drawing and the actual apartment are true?

• The scale drawing and the actual apartment are similar figures.

• The areas of the rooms in the scale drawing are proportional to the areas of the rooms in the actual apartment.

• The width of the closet in the scale drawing is 0.75 inch, making the width of the actual closet 7.5 feet.

• All statements are correct.

Tags

CCSS.7.G.A.1

Carmelo 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 preimage and the image can Carmelo conclude are true? Select all that apply.

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

• The image is not similar to the pre-image because the areas of the figures are equal.

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

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

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

Tags

CCSS.8.G.A.3

Reggie made a scale drawing to enlarge the image of a bug that was on his porch to 10 times its normal size. Which of the following statements are true? Select all that apply

• Reggie could have performed a dilation and rotation to create the scale drawing.

• Reggie could have performed a rotation and a translation to create the scale drawing.

• The original bug and the scale drawing are congruent figures.

• The original bug and the scale drawing are similar figures.

• The scale factor is 10.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Match the congruent sides and angles.

• BC

• < D

• DE

• AC

• < C

• < A

• < E

• < B

• < F

• DF

Tags

CCSS.HSG.CO.B.7

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

• The final image will result in perpendicular segments that intersect at point (0,1).

• When reflected over the x-axis, the coordinates of point A become (2,–4).

• When reflected over the x-axis, the coordinates of point D become (1,–4).

• The coordinates of point B’ in the final image are (0,6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• The final image will result in perpendicular segments that intersect at point (0,1).

• The coordinates of point B’ in the final image are (0,6).

• The coordinates of point C’ in the final image are (1,4).

• The final image will result in parallel segments slanted in the same direction and closer together than the pre-image segments.

Tags

CCSS.8.G.A.3

• The coordinates of point B’ in the final image are (0,6).

• The final image will result in parallel segments slanted in the opposite direction and the same distance apart as the pre-image segments.

• The final image will result in perpendicular segments that intersect at point (0,1).

• When reflected over the x-axis, the coordinates of point D become (1,–4).

Tags

CCSS.8.G.A.3

Ronnie performed a series of rigid transformations on Figure 1. The result of the transformations is Figure 2 as shown on the coordinate grid. What is the sequence of transformations that Ronnie followed so that Figure 1 lies exactly on top of Figure 2?

• a reflection across the y-axis and then a translation of 5 units to the left and 5 units down

• a translation of 6 units to the right and 3 units up and then a reflection across the x-axis

Tags

CCSS.8.G.A.3