Dilations and similar triangles Ms. Towne

If Triangle ABC is dilated about the origin with a scale factor of 2 into Triangle , what will be the coordinates of Point ?

• (14, 8)

• (-6, 8)

• (1, -3)

• (2, -6)

Tags

CCSS.8.G.A.3

Which rectangle is similar to the one below?

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which triangle is similar to the one shown below?

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A square is dilated about the origin by a scale factor of 3.5.

What is a true statement about the dilation as compared to the original square?

• The perimeter is 7 times the perimeter of the original square.

• The measure of each angle of the dilated figure is larger by a factor of 3.5.

• One of its vertices is located at (7, 0).

• The area is 3.5 times greater than the area of the original square.

Tags

CCSS.8.G.A.3

Which graph shows a rectangle similar to the rectangle below?

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CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

A triangle similar to Triangle JMN will be drawn on the coordinate plane below using Points J and K.

What could be the coordinates of the third point of the triangle?

• (-1, -3)

• (-5, -15)

• (-1, -11)

• (-5, -7)

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Trapezoid PQRS is dilated about point P by a scale factor of 3 to form trapezoid P'Q'R'S'. Which statement is not true?

• The measure of angle P' is 3 times the measure of angle P.

• The perimeter of PQRS is one-third the perimeter of P'Q'R'S'

• QR and Q'R' are parallel.

• The length of P'Q' is 3 times the length of PQ.

Tags

CCSS.8.G.A.3

A 9-foot flagpole cast a shadow 6 feet long, and at the same time, a nearby tree cast a shadow 14 feet long, as shown below. What is x, the height of the tree?

• 17 feet

• 21 feet

• 14 feet

• 7 feet

Tags

CCSS.HSG.SRT.B.5

A triangle having vertices at , , and is dilated by a scale factor of to form Triangle A'B'C'. Which statement is true?

• The length of A'C' is four times the length of AC.

• The length of A'C' is one-half the length of AC.

• The length of A'C' is twice the length of AC.

• The length of A'C' is the same as the length of AC

Tags

CCSS.8.G.A.3

Two rectangles and some of their dimensions are shown.

The rectangles are similar. What is r, the length in feet of the smaller rectangle?

• 5 feet

• 4 feet

• 6 feet

• 14 feet

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6