1.1- Points, lines, planes
How many letters does it take to name a line?
TWO
What does the term "segment bisector" mean?
It cuts the segment in half.
When naming an angle, you use _________ letters and the ____________ must be in the middle.
Three, vertex
Translate the following point: A(-9, 14)
(x, y) ---> (x - 1, y)
A' = (-10, 14)
Solve for x.
2x + 8 + 3x = 38
x = 6
What does the term "collinear" mean?
Points A, B, and C are all collinear. AB = 4 and BC= 7. What does AC equal?
AC = 11
Name the four classifications of angles and their definitions.
Acute- less than 90 degrees
Obtuse- greater than 90 degrees
Right- equals 90 degrees
Straight- equals 180 degrees
Rotate the following point in three different ways:
90 degrees CCW, 180 degrees, 270 degrees CCW
A(8, -2)
90: (2, 8)
180: (-8, 2)
270: (-2, -8)
Solve for x.
9(x - 3) = 27
x = 6
What does the term "non-coplanar" mean?
Points not on the same plane.
Points D, E, and F are collinear. DF = 44 and EF = 15. What does DE equal?
DE = 29
<ABC is intersected by ray BD. <ABD= 55 degrees and <DBC = 13 degrees. What is the measure of angle ABC?
<ABC = 68 degrees.
Reflect the following point across the x and y axis.
A(-4, 7)
x-axis: (-4, -7)
y- axis: (4, 7)
Solve for x.
6x + 4 = 9x - 5
x = 3
Two lines intersect at a _________________.
Point
Points J, K, and L are collinear and K is the midpoint of segment JL. If JL = 32, what does JK equal? What does KL equal?
JK= 16
KL = 16
<ABC is bisected by ray BD and is a right angle. What is the measure of <ABD?
<ABD = 45 degrees
Explain the three types of symmetry.
Line: Mirror image
Point: 180 degree rotation (same upside down)
Rotational: Any kind of rotation (less than 360 degrees)
Solve for x.
5x + 18 = 12x + 4
x = 2
Two planes intersect at a ____________.
Line
Points W, V, and U are all collinear. WU = 2x, WV = 6 and VU = x + 1. Find the value of WU.
WU = 14
<ABC is bisected by ray BD. <ABD = 2x - 20 and <DBC = x + 30. What is the measure of <ABC?
<ABC = 160 degrees
Dilate the following points with a scale factor of k = 1/2.
A(4, 6)
B(3, 7)
D(14, 9)
A'= (2, 3)
B'= (1.5, 3.5)
C'= (7, 4.5)
Solve for x.
2x - 7 - 8x + 4 = 8 - 5x
x = -11