Chapter 1
What does collinear mean?
Points that lie on the same line
p: the figure is a triangle
q: the figure has two congruent sides
p ^ ~q :
The figure is a triangle and the figure does not have two congruent sides.
reflection
translation
rotation
The sum of all angles of a triangle is?
180 degrees
Nonadjacent angles formed by two intersecting lines
(hint: across from each other)
vertical angles
Point B is between points A and C. Find the length of AB
AC = 13.2m
BC = 5.8 m
AB = 7.4 m
If the forecast calls for rain, then I will take my umbrella.
What is the converse of the above statement?
If I take my umbrella, then the forecast will call for rain.
To reflect an image in the line y = x you should....
interchange the x and y coordinates for each point in the figure.
Triangle ABC, angle A= 56, angle B= 60, what does angle C equal?
64 degrees
Two angles with measures that have a sum of 90 degrees?
Complementary Angles
The coordinates of B and E are -6 and 2. Find the distance between the points on a number line.
8
If the forecast calls for rain, then I will take my umbrella.
What is the inverse of the above statement?
If the forecast does not call for rain, then I will not take my umbrella.
We use a _____________ to translate an image on the coordinate plane.
vector
Ex. <-2, 5>
The measure of an exterior angle of a triangle is equal to....
the sum of the measures of the two interior angles opposite the exterior angle
To reflect a figure in the x axis you should do what with the coordinates?
multiply the y coordinates by -1
Find the distance:
C(-4, -6) and D(5, -1)
square root of 106 OR the square root of 9 to the second power + 5 to the second power
If the forecast calls for rain, then I will take my umbrella.
What is the contrapositive of the above statement?
I will not take my umbrella, if the forecast does not call for rain.
To rotate a preimage 90 degrees counterclockwise about the origin you should do what with the coordinates?
Multiply the y coordinate by -1 and interchange the x and y coordinates.
If an exterior angle of a triangle measures 112 degrees, and one opposite interior angle measures 32 degrees, what does the other interior angle measure?
80 degrees
Find the midpoint of M, the midpoint of ST, for S(-6,3) and T(1,0)
(-5/2, 3,2) OR (-2 1/2, 1 1/2)
The temperature on the thermometer dropped from a reading of 25 degrees to -8 degrees. Find the midpoint of the temperatures.
8.5 degrees
Which types of statements are logically equivalent?
conditional and contrapositive
converse and inverse
To rotate a preimage 180 degrees counterclockwise about the origin you should do what with the coordinates?
multiply the x and y coordinates by -1
Name the four pairs of congruent angles formed by parallel lines and a transversal.
EX. consecutive interior
Alternate exterior, alternate interior, corresponding, vertical
In a diagram that contains a one set of parallel lines cut by a transversal, how many angles will have the same measure?
4