Slope
Find the slope of the given line containing points (-5,-1) and (7,11).
What is 1.
Find the distance for the points (6,2) and (11,2).
5 units
What is the midpoint formula?
((x_1+x_2)/2,(y_1+y_2)/2)
T/F
Parallel lines have the same slopes and perpendicular lines have opposite slopes.
False:
Perpendicular lines have opposite reciprocal slopes.
Fill in the blank:
Linear pairs are two angles that are _ to each other and has a sum of _.
adjacent or supplementary; 180
if B is between A and C, then segment AB + segment BC = segment AC
What is the segment addition postulate
a point that bisects or divides a segment into two congruent segments.
What is a midpoint
What equation form is Ax + By = C?
What is Standard Form.
What is the slope of a line that contains the points (0,-9) and (15,3)?
What is 4/5.
What is the distance between (4,1) and (5,-28)?
What is 29 units?
What is the midpoint for (-1,7) and (4,-4)
(1.5,1.5).
Name a slope parallel to the line (-10,14) and (1,37).
23/11
These two angles form an X and are across from each other and are congruent as well.
Adjacent, vertical, or complemetary?
Vertical
if D is in the interior of angle ABC, then the measure of angle ABD + the the measure of DBC = the measure of ABC
What is the angle addition postulate
the common endpoint in an angle.
What is a vertex
What are the x- and y-intercepts from the following standard form equation?
3x + 4y = 24
X-Int: 8
Y-Int: 6
What is the slope that is parallel to the line y=-1/4x+11?
What is -1/4.
What is the distance formula?
d =sqrt((x2-x1)2+(y2-y1)2)
What is the midpoint of the points (-6,1) and (5,3).
(-0.5,2)
line 1: 2y=8x+10
line 2: 3y=12x+15
Parallel, Perpendicular, or neither
Parallel
Angle 1 is 37 degrees and angle 2 is 143 degrees.
What type of relation do these angles have with each other?
They are Supplementary
through a point A not on line L, there is exactly one line parallel to L
What is the parallel postulate
a ray that divides an angle into two congruent angles.
Definition of Angle Bisector
Convert the following equation to slope-intercept form.
y+2=-3(x+1)
y=-3x-5
What is the slope perpendicular to the line 2x+3y=15?
What is 3/2.
What is another word used to describe what the distance is?
What is the Length
What is the endpoint given an endpoint (-2,5) with a midpoint (3,11)?
(8,17)
line 1: 2x+4y=8
line 2: -6x+3y=11
//, +, or neither?
Perpendicular
A right angle contains two angles. Angle 1 is 4x+5 and angle 2 is 12x-7.
What is angle 1?
28 degrees
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Perpendicular Bisector Theorem
segments that have the same length.
Definition of Congruent Segments
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y+4=3(x-1)
slope intercept: y=3x -7
What is the slope parallel to the lines containing (3,-4) and (-1,11)?
What is -15/4.
If the distance is 10 units and the point starts at (11,2) and the finished point contains an x value of 5, what should the y value b?
10 units
Johnny is the middle child (right in the middle). His younger sibling is 10 and his older sibling is 22. How old is Johnny?
16 years of age
If two non‐vertical lines are perpendicular, then the product of. their slopes is _________.
-1
If one of the angles are 5.5 degrees, find its supplement.
174.5 degrees
If two angles adjacent to a common angle are congruent, then the overlapping angles formed are congruent.
Overlapping Angle Theorem
an angle whose measure
is 90 degrees.
Definition of Right Angle
Write the equation in slope intercept form: slope=0, y intercept =-5
y=-5