Points, Lines, and Planes
The simplest figure in geometry that has no dimension.
What is a point?
If AB = 5 and BC = 9, find AC
What is 14?
Find the midpoint of (2, 4) and (8, 10).
What is (5, 7)
If ∠AOB = 35° and ∠BOC = 45°, find ∠AOC.
What is 80°?
If ∠1 = 60°, find its complement.
What is 30°?
A flat surface that extends without end and has no thickness.
What is a plane?
If AC = 22 and AB = 9, find BC.
What is 13?
Find the distance between (1, 2) and (4, 6).
What is 5?
If ∠AOC = 100° and ∠AOB = 40°, find ∠BOC.
What is 60°?
If ∠2 = 120°, find its supplement.
What is 60°?
The figure formed by two points and all points between them.
What is a line?
If AC = 20 and AB = 8, what is BC?
What is 12?
Find the midpoint of (–3, 7) and (5, –1).
What is (1, 3)?
If ∠XYZ = 3x + 10 and ∠ZYT = 2x + 20, and ∠XYT = 100, solve for x.
What is 14?
If vertical ∠3 = 75°, find ∠4.
What is 75°?
Three points that lie on the same line are called this.
What is collinear?
If AB = 3x + 2, BC = 2x – 1, and AC = 18, solve for x.
What is 3.4?
Find the distance between (–2, –3) and (4, 1).
What is √52 or 2√13?
Two complementary angles are 3x and x + 10. Solve for x.
What is 20?
If two adjacent angles form a straight line, and one is 2x + 30 and the other is 3x – 10, solve for x.
x = 32
A line that intersects a plane at exactly one point.
What is a line of intersection?
If AD = 5x – 4, DC = 2x + 6, and AC = 27, solve for x.
What is 5?
The coordinates of A are (–6, 2) and B are (2, –4). Find the midpoint and distance of AB.
Midpoint: (–2, –1); Distance: 10.
Two supplementary angles are 5x – 15 and 3x + 5. Solve for x and find both angles.
x = 25; angles are 110° and 70°.
∠1 and ∠2 are supplementary. ∠1 = 4x + 6 and ∠2 = 2x + 18. Solve for x and find both angles.
x = 26; angles are 110° and 70°.