Similarity With Shapes

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is correct.

• ∠C ≅ ∠M

• ∠T ≅ ∠E

• ∠Y ≅ ∠B

• ∠A ≅ ∠M

• ∠C ≅ ∠R

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is/are correct (choose all that apply).

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

ΔOBC is similar to ΔOGT because: (choose the best answer)

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Similar figures must have

• Proportional sides and equal angles

• Equal sides and equal angles

• Proportional sides and the same number of angles

• Similar looking shapes

What is the scale factor of this dilation?

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

• x = 20

• x = 12

• x = 5

• x = 4

Square A is a Dilation of Square B. What is the scale factor of the squares?

• 1/7

• 4/5

• 5/4

• 7