DILATIONS & SIMILARITY

Mark all of the transformations that will result in the object changing size.

• Dilation of a scale factor of 0.25

• Reflection over the x-axis.

• Dilation of a scale factor of 3.

• Translation of 5 to the right and 3 up.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Find the scale factor for the dilation of the small quadrilateral to the large.

• 2

• 3

• 4

Tags

CCSS.8.G.A.3

If these two shapes are similar, what is the measure of the missing length s? (The first triangle has sides 1 mi and 4 mi, the second shape has sides 12 mi and s.)

• 3 mi

• 4 mi

• 12 mi

Tags

CCSS.HSG.SRT.A.2

If these two trapezoids are similar, what is the measure of the missing angle?

• 65°

• 115°

• 90°

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Choose the appropriate value for x for the following similar triangles. ΔABC ~ ΔXYZ

• 25

• 30

• 60

Tags

CCSS.HSG.SRT.A.2

On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations. Which sequence of transformations was used to transform Figure 1 to Figure 3?

• dilation and translation

• reflection and dilation

• dilation and reflection

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Which statement describes the transformation of Figure 2 into Figure 3?

• reflection across the x-axis

• reflection across the y-axis

• translate 4 units right

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangles ABC and DEF are shown, with dimensions in inches (in). Identify whether the triangles are similar, and why or why not.

• The triangles are not similar because a dilation of triangle ABC will not create the side lengths of triangle DEF.

• The triangles are not similar because a translation and dilation are needed to map triangle ABC to triangle DEF.

• The triangles are similar because triangle ABC can be translated and dilated by a factor of 2 to create triangle DEF.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

A sequence of transformations is applied to square G to create square H. The squares are shown on the coordinate plane. Select the sequence of transformations that will map square G to square H.

• translation 3 units to the right and dilation by a factor of 1/2 about the origin

• reflection over the y-axis and dilation by a factor of 1/2 about the origin

• reflection over the x-axis and dilation by a factor of 2 about the origin

Tags

CCSS.8.G.A.3

Which sequence of transformations will create a shape that is similar but not congruent to the original figure?

• reflection over the x-axis, then a reflection over the y-axis

• translation 5 units to the right, then a reflection over the y-axis

• reflection about the x-axis, then a dilation by a factor of 2 about the origin

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4