Geometry Chapter 1 Foundations Study Guide

Determine the distance between points A(1 , 2)  &  B(5 , 5).

• 5
• 3
• 4
• 4.5

Tags

CCSS.HSG.GPE.B.7

Determine the distance between points O(5 , 8)  &  K(−9 , −6).

• 15
• 17.4
• 19.8
• 20.2

Tags

CCSS.HSG.GPE.B.7

Determine the midpoint between W(9 , 14)  &  E(2 , 7).

• ( 6 , 10)
• ( 7.5, 10.5)
• ( 5.5 , 10.5)
• ( 5.5 , 9.5)

Tags

CCSS.HSG.GPE.B.6

Given the points M(3, 5) and E(18, 20), find the coordinates of point Q on line segment ME in the ratio of 1:4. 

• (3, 3)
• (6, 8)
• (3, 5)
• (8, 10)

Tags

CCSS.HSG.GPE.B.6

Determine the correct name of the object.

• Line Segment GH
• Ray GH
• Line GH
• Angle GH

Tags

CCSS.HSG.CO.A.1

Which of the following lines is parallel to:
y = ¾x + 5

• y = (4/3)x + 5
• y = (−5/4)x + 7
• y = (−4/3)x + 5
• y = (3/4)x + 7

Which of the following lines is parallel to:
y = (−7/3)x + 5

• y = (7/3)x + 5
• y = (−7/3)x + 6
• y = (−3.5)x + 8
• y = (3/7)x + 7

Which of the following lines is perpendicular to:
y = ⅜x + 5

• y = (8/3)x + 5
• y = (−8/3)x + 7
• y = (−5/8)x + 5
• y = (0.625)x + 7

Which of the following lines is perpendicular to:
y = (−⅚)x + 5

• y = (−6/5)x + 5
• y = (6/5)x + 7
• y = (−5/6)x + 5
• y = (0.85)x + 7

Line segment KW has endpoints K(3, 7) and W(−3, −6) and is then translated 3 units down and 5 units to the right. Determine the new coordinates of K'W'.

• K'(3, 4) and W'(−3, −9)
• K'(8, 7) and W'(2, −6)
• K'(8, 4) and W'(2, −9)
• K'(4, 8) and W'(−3, −6)