Basic Geometry
A location with no size or dimension. What is it?
Point
Two lines in the same plane that never meet are called what?
Parallel lines
A = −3 and B = 5 on a number line. Find AB.
8
Find the midpoint of (2, 4) and (6, 8).
(4, 6)
Classify an angle measuring 90°.
Right angle
A part of a line with two endpoints is called what?
Line segment
Lines that meet at exactly one point are called what?
Intersecting lines
K is between J and L. JK = 13, KL = 8. Find JL.
21
Find the distance between (1, 2) and (7, 10).
10
What is the complement of 35°?
55°
Points that lie on the same line are called what?
Collinear points
Three or more lines meeting at one point are called what?
Concurrent lines
AB ≅ CD. AB = 4x − 7 and CD = 2x + 9. Find x.
x = 8
The midpoint of E(4, 2k−7) and F(10, 5) is (7, 3). Find k.
k = 4
What is the supplement of 124°?
56°
A flat two-dimensional surface extending infinitely is called what?
Plane
Two lines do not intersect. What additional fact must be true for them to be parallel instead of skew?
They must be coplanar
M is the midpoint of JK. JM = 4x + 1 and MK = 6x − 9. Find x and JK.
x = 5, JK = 42
One endpoint is R(−6, 14) and the midpoint is S(5, −2). Find the other endpoint.
(16, −18)
Two complementary angles are 3x° and (x + 20)°. Find both angles.
x= 40
What is the difference between a line, ray, and line segment?
Line: infinite both ways; Ray: one endpoint; Segment: two endpoints
Two lines are in different planes and never intersect. What type of lines are they?
Skew lines
B is between A and C. AB = 3x + 2, BC = 2x − 1, AC = 26. Find x, AB, and BC.
x = 5, AB = 17, BC = 9
A(1, 2) and B(x, 6) are 5 units apart. Find all possible values of x.
x = 4 or −2
Classify an angle measuring 235°.
reflext angle