Points, Lines, Planes
What is the intersection of two lines?
A point.
Segments AC and DC are congruent and point C is between A and D. AC=4x+5 and DC=3x+8. Find AD.
AD = 34.
Two angles are complementary. One angle is four times the measurement of the other angle. Find the measurement of each angle.
72 degrees and 18 degrees
Draw the symbols for a ray, line and segment.
Ray: --->
Line <--->
Segment ----
Given angle RST is 22, what is the measure of its complement?
68 degrees.
How is a ray named?
by its boundary point first, then by any point on the extended side
If a segment has endpoints at (4, 0) and (12, 0). At what point does the segment bisector cross at?
At point (8, 0) or 8.
Identify this definition: a pair of adjacent angles whose sum is 180.
A linear pair.
Given a line with points R, S and T in that order. Name 2 opposite rays.
Ray SR and ST.
Given a pair of supplementary angles, if one angle measures 45, what does its supplement measure?
135 degrees.
Draw opposite rays
<---------.---------->
A B C
What is a point that cuts a segment into two congruent parts?
A midpoint.
Define an angle bisector
a ray that divides an angle into two congruent parts.
A line.
Ray QT bisects Angle AQB. If angle AQT measures 32, what does angle AQB measure?
64 degrees.
How many boundary points does a line segment have?
Two
The distance of a segment can sometime be negative. True or false?
False
Angles with the same measure are _________.
Congruent
If two segments are congruent, what conclusion can be drawn?
The segments have the same (or equal) length.
Given a ray bisects a 120 degree angle, what does each smaller angle measure?
60 degrees.
If H is between I and J, HI= 2x, HJ= 8x, and IJ=150. What is the length of HI?
The length of segment HI is 30.
Ray BD bisects angle ABC. Find the measure of angle ABC if the measurement of angle ABD is (2x + 20) and the measurement of angle DBC is (4x)
80 degrees
If three points lie on the same plane, then they are...
coplanar.
Given angle ABC and RBS are vertical angles. If m <ABC = 5x + 12 and m<RBS = 7x - 8. Find the value of x.
x = 10