Points, Lines, and Planes
A one dimensional figure represented by a line with two arrowheads, but extends without end.
What is a line?
Line segments that have the same length.
What are congruent segments?
A point, ray, line, line segment, or plane that intersects the segment at its midpoint.
What is a segment bisector?
A polygon whose sides cannot be extended into the interior of the polygon.
Two angles that have the same measure.
What are congruent angles?
A two dimensional figure that is represented by a shape that looks like a floor or a wall, but extends without end.
What is a plane?
The following points lie in a coordinate plane; P(-4,3), Q(3,3), R(-1,4), and S(-1,-2). Determine the length of each and whether segments PQ and RS are congruent.
PQ=7, RS=6, No they are NOT congruent.
Point M is the midpoint on a segment PQ. Segment PM is 1.8mm long. What is the length of PQ?
PQ=3.6mm
A formula to find the area of a triangle.
A=1/2(b)(h)
A ray that divides an angle into two angles that are congruent.
What is an angle bisector?
A figure that consists of one endpoint and half a line that extends infinitely through another point.
What is a ray?
Point Y lies between points X and Z on line XZ. XY=14, YZ=27. What is the measure of segment XZ.
XZ=41
Point M is the midpoint of segment AB. Segment AM=3x-4 and segment BM=2x+1. Find the length of segment AB.
AB=22
Find the perimeter of triangle PQR with vertices P(-1,4), Q(2,4), and R(2,-1). Round your answer to the nearest hundredths place.
About 13.83 units.
The angle RST has a ray SV. The measure of angle RST is 114 degrees and the measure of angle TSV is 72 degrees. Find the measure of angle RSV
m<RSV=42
Two rays that share a common endpoint and whose second points are collinear.
What are opposite rays?
C is a point between points B and D on line BD. Segment BC is 19 and segment BD is 25. What is the length of CD?
CD=6
The endpoint of segment AB are A(-8,7) and B(5,1). Find the coordinates of the midpoint M.
M(-1.5, 4)
Find the area of triangle ABC with vertices A(1,3), B(3,-3), and C(-2,-3).
15 square units.
Angle GHK is a straight angle with a ray HL. The measure of angle GHL is 79 degrees. What is the measure of angle KHL?
Points that do not lie on the same plane.
What are non-collinear points?
Suppose that J and K are points on the number line. If JK=11 and J lies at 3, where could K be located? If there is more than one location, state both.
K could be at 14 or -8.
Find the distance between points A(13, 2) and B(4, 3). Round your answer to the nearest hundredths place.
AB=9.06
Find the area of the polygon with the vertices N(-1,1), P(2,1), Q(2,-2), and R(-1,-2).
9 square units.
Ray BD bisects angle ABC. Angle ABD is 6x+14 and angle CBD is 3x+39. Find measure of angle ABD.
m<ABD=63.8