Basics of Geometry

​Chapter 1 Review

Multiple Choice

Choose the points that are non-coplanar.

• D, E, and F

• D, H, and F

• F, D, and G

• G, E, and D

Multiple Choice

Are points B and C collinear?

• Yes

• No

Multiple Choice

Find measurement for QT.

• 10
• 6
• -10
• 2

Multiple Choice

Write an equation that correctly models the lengths shown.

• 2x + 20 + x + 21 = 9

• 2x + 20 + 9 = x + 21

• 9 + x + 21 = 2x + 20

• 2x + 20 - 9 = x + 21

Multiple Choice

• x = 6°

• x = 7°

• x = 12°

• x = 144°

Multiple Choice

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

• x = 13

  m∠RST = 155°

  m∠RSU = 102°

• x = 3

  m∠RST = 35°

  m∠RSU = 12°

• x = 22

  m∠RST = 263°

  m∠RSU = 183°

• x = 8

  m∠RST = 95°

  m∠RSU = 57°

Multiple Choice

What is the value of x?

• 37
• 72
• 108
• 18

Multiple Choice

Find the missing angle.

• 60
• 70
• 50
• 140

Multiple Choice

If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?

• 135
• 45
• 125
• 90

Multiple Choice

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

Multiple Choice

Find the midpoint: $$\left(2,-7\right),\left(10,1\right)$$  

• (-3,6)

• (6,-3)

• (4,4)

• none

Multiple Choice

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

• (18, -23)

• (13, 18)

• (11, 4)

• (1.5, -2)

Multiple Choice

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Multiple Choice

A(3,1) B(-2,-1) written correctly is:

• $$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

• $$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

Fill in the Blank

Use the Distance Formula to find the distance between:

(8,8) and (3,-4)