A location in space is called a ________.
point
180
congruent
In slope intercept form, y = mx + b, the b represents the _________________.
y-intercept
A rigid motion preserves __________.
congruence
If two polygons are congruent, they have the same ______ and _______.
shape / angles
size / side lengths
Angles that share a vertex and a side are _________.
adjacent
Calculate the length of AB where A(0,3) and B(5,-9).
AB = 13 units
Perpendicular lines have the _________ slope.
negative reciprocal
(x,y) --> (x - 4, y + 1) represents what kind of transformation? Be specific.
translation 4 units left and 1 unit up
Points that lie along a line are ___________.
collinear
<RTX is complementary to <XTS.
m<RTX = 21 degrees
What is m<XTS?
69 degrees
Suppose M(3,4) is the midpoint of AB. Point A is at (-1,6), what are the coordinates of point B?
B(7,8)
Line a has the equation y = 3x - 4. Line b is parallel to line a. What is the slope of line b?
3
(x,y) --> (-x,y) represents what kind of transformation? Be specific.
reflection over the y-axis
To name a plane, you need _____________.
3 non-collinear points
Angle A and angle B are supplementary. Angle A is twice the size of angle B. What is the measure of angles A and B?
angle A = 120 degrees
angle B = 60 degrees
A(-4,5), B(0,5), and C(0,2) make right triangle ABC. What is the length of the hypotenuse?
AC = 5 units
Line m has the equation y - 3 = 2x - 1. If line n is perpendicular to line m, what is the slope of line n?
-1/2
*DOUBLE JEOPARDY*
Rectangle ABCD is dilated by a scale factor of 3. If n and k represent any number, what is the value of n and k in the following equations?
Perimeter of ABCD = n * (perimeter of A'B'C'D')
Area of ABCD = k * (area of A'B'C'D')
n = 3
k = 9
If a quadrilateral has perpendicular diagonals and the diagonals are congruent, what is the most specific name of this shape?
Square
<ABC and <CBD are a linear pair.
m<ABC = 8x - 2 and m<CBD = 10x+20
Find m<ABC and m<CBD.
m<ABC = 70 degrees
m<CBD = 110 degrees
Find the perimeter of a square with the following coordinates:
A(-2,0)
B(2,3)
C(5,-1)
D(1,-4)
20 units
Line g has the equation y+4 = -2(x-1). Line h is parallel to line g and goes through the point (-1,4). What is the equation of line h (in slope-intercept form)?
y = -2x + 2
Point A(-2,3) undergoes the following transformations:
1) a reflection over the y-axis
2) a rotation 90 degrees counterclockwise about the origin
3) a translation left 3 units and up 2 units
What is the coordinate of A'''?
A'''(-6,4)