Similarity and Dilations

When you dilate, you ______ x and y by a number.

• Multiply
• Add
• Subtract
• Divide

Tags

CCSS.8.G.A.3

Dilation's are ________ but not congruent.

• Similar
• Flipped
• Rotated
• Congruent

Tags

CCSS.8.G.A.3

Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• (x, y) -->  (0.4x, 0.4y)
• (x, y) -->  (x + 3, y + 1.5)
• (x, y) -->  (2.5x, 2.5y)
• (x, y) -->  (x - 1.5, y + 3)

Tags

CCSS.HSG.CO.A.2

A square has a side length of 5 1/2 inches. This square is dilated by a scale factor of 4/5 to create a new square. What is the side length of the new square?

• 4  4/5 in
• 4  1/4 in
• 4  2/5 in
• 4  3/4 in

Tags

CCSS.8.G.A.3

Polygon QRST below was dilated by a scale factor of 9/5 to create polygon Q'R'S'T'. What is the distance in centimeters of point R' to point S'?

• 16 cm
• 11.7 cm
• 17.2 cm
• 8.89 cm

Tags

CCSS.8.G.A.3

A triangle has vertices A(-5, -4), B(2, 6), C(4, -3). If the rule (x,y) --> (3x, 3y) What are the vertices of the dilated image?

• A'(8, 7) B'(-5, -9) C'(-7, 7)
• A'(-8, -7) B'(5, 9) C'(7, -7)
• A'(15, 12) B'(6, 18) C'(-12, 9)
• A'(-15, -12) B'(6, 18) C'(12, -9)

Tags

CCSS.8.G.A.3

A triangle has vertices A(0,2), B(4,0), and C(3, -2). Write an algebraic representation for the triangle after a dilation with a scale factor of 2. 

• (x, y) --> (2x, 2y) 
• (x, y) --> (x + 2, y + 2)
• (x, y) --> (x, y)
• (x, y) --> (x - 4, y - 4)

Tags

CCSS.8.G.A.3

What is NOT one of the critical attributes for similarity?

• Same shape, but different size
• Congruent angles
• Proportional Sides
• Sides grow by a common difference

The pair of figures is similar. Find the missing side.

• x = 9
• x = 28
• x = 7
• x = 63

Tags

CCSS.HSG.SRT.A.2

If the triangles are similar, find x

• 4
• 60
• 30
• 16

Tags

CCSS.HSG.SRT.A.2