lines and planes
x and y value
COORDINATE PAIR VALUES
angle relationships
conjectures and counter examples
100
A ___ is a location. It has neither shape nor
size.
Named by a capital letter
point
line
plane
point
100
2(x−4) + 3 = 13
What is the value of x?
9
100
This is the slope of the line through the points (−3, 2) and (6, 8).
2/3
100
These two angles add up to 180° and sit next to each other on a straight line.
supplementary adjacent angles
100
A statement in math believed to be true based on patterns or observations is known as this.
a conjecture
200
A ___ is a flat surface made up of points that
extends infinitely in all directions. There is
exactly one plane through any three points not
on the same line.
Named by a capital script letter or by the letters
naming three points that are not all
on the same line
line
plane
graph
coordinates
plane
200
what is the value of x
15
200
If a line passes through (1, y) and (5, 13) and has slope 3, this is the value of y.
1
200
When two lines cross, these pairs of opposite angles are always equal.
vertical angles
200
This is a single example that disproves a conjecture, even if the conjecture works in every other case.
a counterexample
300
Which of the follow rays is an opposite ray with BA?
EG
EF
BC
DB
BC
300
If the midpoint of the segment connecting (2,5) and (x,1)is (4,3), this is the value of x.
6
300
A line through (a, 4) and (7, b) has slope −2. If a and b are integers and a < 7, and the y-intercept of that line is 18, these are the values (a, b)
(4,-6)
300
When a transversal cuts parallel lines, these angles sit in matching corners and are always congruent.
corresponding angles
300
A student claims “All quadrilaterals are rectangles.” Showing them a kite or trapezoid would serve as this.
a counterexample
400
Given the figure above, which of the following would be another way to name plane Q?
plane LGP
plane ACR
plane ABC
plane DMH
plane LGP
400
If the slope between the points (3,7) and (x,1) is −3, this is the value of x.
5
400
A line with slope −2 has integer coordinates for the points (a, 4) and (7, b). If the line passes through (7, b) and (a,4) and a < 7, find (a,b).
(4,10)
400
Found on the inside of parallel lines but on opposite sides of the transversal, these angles are congruent.
alternate interior angles
400
If you notice that every triangle you draw has angle sum 180°, you might form this type of educated mathematical guess.
a conjecture
500
Given the figure above, line p and line t intersect at _______.
line T
point L
point H
point C
point C
500
The line passing through the points (2, y) and (x, −4) has a slope of 3/2. If y=5y, this is the value of x.
-4
500
If the distance between the points (x,3) and (7,15) is 13 units, this is the value of x.
x=12
500
If two angles add up to 90°, geometry students call them this.
complementary angles
500
This type of reasoning uses many specific cases to form a general rule — the foundation for making conjectures.
inductive reasoning