Points, Lines, and Planes, Oh My!
The geometric term that describes points that lie on the exact same line.
What are Collinear Points?
The term used when two segments are the same size and shape.
Congruent
The term for a point, ray, line, line segment, or plane that intersects a line segment at its midpoint.
Segment Bisector
The geometric figure is formed by two different rays that share a common endpoint called a vertex.
Angle
The term for two angles whose measures add up to 90°.
Complementary angles
The geometric term that describes points or lines that lie in the exact same plane.
What are Coplanar Points?
Write the algebraic equation that illustrates the Segment Addition Postulate for when point B is between points A and C.
What is AB + BC = AC?
The coordinates of the midpoint of a line segment with endpoints at (1,-3) and (5,7).
(3, 2)
Classify an angle measuring exactly 123°.
Obtuse angle
The term for two angles whose measures add up to 180°.
Supplementary angles
The minimum number of noncollinear points required to uniquely define a plane.
What is three (3) noncollinear points?
The total length of segment AC when Point B is between points A and C, AB = 12, and BC = 19.
31
The coordinates of midpoint M with endpoints of line segment AB are A(-8, 7) and B(5, 1).
(-1.5, 4) or (-3/2, 4)
The measure of ∠PQR when Ray QS bisects ∠PQR and m∠PQS = 37°.
74°
The measure of the second angle if the first angle measures 115° and other adjacent angle forms a linear pair.
65°
This geometric figure is formed by the intersection of two distinct planes.
What is a line?
Solve for x, when Point S is between R and T, RS = 2x + 10, ST = x - 4, and RT = 21.
x=5
The coordinates of the midpoint F of a line segment with endpoints of E(-4, 7) and G(0, -3).
(-2, 2)
The equation representing the Angle Addition Postulate if point M lies in the interior of ∠LKN.
m∠LKM+m∠MKN=m∠LKN
Solve for x, when angle 1 and angle 2 are vertical angles, where angle 1 = 5x+4 and angle 2 = 3x+20.
x = 8
These are names of the two opposite rays formed when point C lies on line AB directly between A and B.
Ray CA and Ray CB
Find the total length of line segment LN, when Point M is the midpoint of line segment LN, LM = 4x-1 and MN = 3x+3.
30
The total length of line segment JK, when point M is the midpoint of the section, JM = 4x-3 and MK = 2x+9.
42
Solve for x when m∠LKN = 145°, m∠LKM = 2x+10, and m∠MKN = 4x-3.
x = 23
The measure of ∠ABC, when Ray BD bisects ∠ABC, m∠ABD = (5x-4)° and m∠CBD = (3x+10)°.
62°