Geometry Concepts and Theorems

• p = 2, q = -2

• p = 1, q = 0

• p = 0, q = -1

• p = 3, q = 1

Select all of the sets of numbers that could be the side lengths of a triangle.

• 7, 13, 21

• 6, 6, 2

• 15, 17, 34

• 9, 10, 11

• 4, 8, 12

A figure undergoes a translation, reflection, and dilation. Will the image be similar to the original figure? Why or why not?

• No; a dilation is not a rigid transformation, so the image is not similar to the preimage.

• Yes; any number of rigid transformations and dilations will always produce an image similar to the preimage.

• No; when more than one transformation is applied, the image is not similar to the preimage.

• Yes; since only 3 transformations were applied, the image will be similar to the preimage.

Given △HJK and △RST, what is cos T?

What is the reason for the statement "∠Y ≅ ∠Y" in the proof table?

• Reflexive Property

• Definition of Perpendicular

• Corresponding Angles

• AA~ (Angle-Angle Similarity)

Which property is used to show "ΔXYZ ~ ΔYWX"?

• Reflexive Property

• Definition of Perpendicular

• Corresponding Angles

• AA~ (Angle-Angle Similarity)

Select all the scale factors of dilations with center F that map △ABF to △DEF.

If MP = 6x - 5, QR = 3x + 1, and RN = 6, what is QN?

• 4

• 13

• 19

• 25

What is the area of triangle JKL, in square units?

• 12 square units

• 10 square units

• 8 square units

• 6 square units

Line segment AB is 16 cm long and dilated with a scale factor of 0.5. What is the difference between the lengths of AB and A'B'?

• 8 cm

• 4 cm

• 12 cm

• 16 cm