Foundations of Geometry and Angle Pairs

Points A, B, and C are collinear on line AB. A is located at (-5, 4), B is at (-2, 2), and C is at (7, -4). What is the ratio AB:BC?

• 3:1
• 1:4
• 1:3
• 4:1

Point R(-3, 3), Q(3, -1), and S are collinear on line RS where point Q partitions the line into the ratio RQ:RS = 2:3. Find the coordinates of S.

• (-3, 6)
• (-6, 5)
• (0, 2)
• (6, -3)

coplanar lines that go in the same direction, never touch, and have the same slope

• perpendicular lines
• parallel lines
• skew lines
• transversal lines

lines that intersect and form a 90 degree angle and their slopes are opposite reciprocals

• parallel lines
• perpendicular lines
• skew lines
• transversal lines

Find the equation of the line that is parallel to x = -2 and goes through the point (6, -4).

• x = 6
• y = -2x - 4
• y = -4
• x = -4

Find the equation of the line that is perpendicular to y = -5/2x - 3 and goes through the point (-10, -3).

• y = 2/5x - 3
• y = 5/2x - 1
• y = 5/2x + 22
• y = 2/5x + 1

Find the equation of the line that is parallel to y = 2/3x + 1 and goes through the point (9, 1).

• y = 2/3x + 1
• y = 2/3x - 5
• y = -3/2x + 14.5
• y = -3/2x - 1

Find the equation of the line that is perpendicular to x = 5 and goes through the point (4, -7).

• x = 4
• y = -7
• y = 4
• x = -7

Congruent angles found across from each other

• vertical angles
• linear pair
• alternate interior angles
• adjacent angles

Adjacent angles that form a straight line

• vertical angles
• corresponding angles
• linear pair
• complementary angles

Tags

CCSS.HSG.CO.C.9