Angles
This type of triangle has one angle which measures ninety degrees.
Right triangle
<2 and <4 are vertical angles, are they supplementary, complementary, or congruent?
Congruent
∠A and ∠B are complementary. If m∠A=(4x+6)º and m∠B=(5x+3)º, then x = ___?
9
How do you name a line? MUST MENTION ALL THREE WAYS
midpoint
The measure of a right angle?
90 degrees
<3 and <6 are corresponding, are they supplementary, complementary, or congruent?
congruent
m∠1=(6x+40)º and m∠2=(9x+4)º, they are vertical angles. What is m∠2?
112
Calculate the distance between points (-4, 2) and (15,6).
√377 = 19.4
The way to show that a conjecture is not true is to provide a _________
counterexample
This type of angle measures greater than 90 degrees and less than 180 degrees.
Obtuse angle
<2 and <5 are consecutive interior, are they supplementary, complementary, or congruent?
supplementary
If m<PQT = (3x+47) and m<SQR = (6x-25), find x.
24
Point E is between points G and T. GE = 2x, ET = 3x-1, and GT = 14. What is the value of x?
3
What law is this:
p --> q
q --> r
therefore p --> r
Syllogism
The degree you get when you add all the angles of a triangle.
180 degrees
What is the line that cuts two parallel lines called?
a transversal
ray EG bisects ∠DEF. If m∠DEG=(3x+7)º and m∠DEF=(4x+34)º, then m∠GEF = ____?
37
Find the midpoint. Endpoints: (-1, 9) & (-17, -29)
Midpoint: (-9,-10)
Find the midpoint of the line segment with the given endpoints.
(2,-1) (-4,-3)
(-1,-2)
An obtuse triangle will have these 3 types of angles?
An obtuse angle and 2 acute angles
<2 and <5 are consecutive interior angles. <2 = 78, find the measure of <5.
102
A fire hydrant is 72 feet away from a 125-foot building. At what angle does the fire hydrant nozzle need to be placed to hit the top of the building?
60.1 degrees
Write the distance formula (not the short cut, the official one).
√(x2-x1)^2 + (y2-y1)^2
A triangle has a leg of 6 and a diagonal of 10, find the other leg measure
8