Exploring Dilations, Similarity, and Slope in 8th Grade Math

Which of the following pairs of dimensions could be a scaled copy of a rectangle measuring 12 cm by 3 cm?

• 6 cm by 1.5 cm

• 10 cm by 2 cm

• 15 cm by 5 cm

• 13 cm by 4 cm

If a rectangle with dimensions 12 cm by 8 cm is scaled to a rectangle with dimensions 15 cm by 10 cm, what is the scale factor?

• 4/5

• 5/4

• 2/3

• 3/2

What is the new length of a segment measuring 3 cm after a dilation with a scale factor of 5?

• 8 cm

• 15 cm

• 10 cm

• 18 cm

Which of the following statements is true about the angles of a triangle after a dilation?

• The angles become right angles.

• The angles double.

• The angles remain the same.

• The angles halve.

If triangle ABC is similar to triangle DEF and the side length AB is 12 cm while DE is 8 cm, what is the scale factor from DEF to ABC?

• 2/3

• 4/3

• 3/2

• 3/4

Why is B' C' D' not a dilation of BCD?

• Because they have the same angle measures

• Because they have different angle measures

• Because they are collinear

• Because line segments CD and C' D' are parallel

Why are triangles C and D similar?

• They have different angle measures

• They are both equilateral

• They have the same side lengths

• They have the same angle measures

What is the sum of the angles in any triangle?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

What is the slope of a line that rises 2 units and runs 3 units?

• 2

• 1/2

• 3/2

• 2/3

Which of the following points lies on the line through (0, 5) and (2, 8)?

• (40, 60)

• (6, 14)

• (5, 10)

• (4, 11)