question | answer |
angles that are in the same relative position are called ____ | corresponding angles |
alternate means ____ | on opposite sides of the transversal |
interior means ____ | between the parallel lines |
exterior means ____ | outside the parallel lines |
When parallel lines are cut by a transversal then _____, ______, and _____ angles are congruent | corresponding, alternate interior, alternate exterior |
When you have a particular angle in a parallel line/transversal system any other angle in the system will be either ____ or _____ | congruent or supplementary |
if lines are cut by a transversal such that alternate interior angles are congruent, then the lines must be ____ | parallel |
Unless otherwise mentioned all polygons are ____ | convex |
A line intersecting two or more coplanar lines is called a ____ | transversal |
slope = | rise over run |
the slope-intercept equation is | y = mx + b |
What is the slope of this line: y = 3x -2? | 3 |
If you are given two points, how can you get the equation of the line? | calculate the slope, then substitute the slope and one of the points into the point-slope formula |
In a coordinate plane, two nonvertical lines are ____ if and only if their slopes are ____ | perpendicular, negative reciprocals |
In a coordinate plane, two distinct lines are ____ if and only if their slopes are ____ | parallel, the same |
In the slope-intercept form of the equation of a line "m" is the ___ | slope |
To graph a line when you have the equation, just ___ | plot the y-intercept, then get another point by "rising and running" from that point |
How do you graph a line with this equation: y=6x -1? | start at the intercept (0,-1), then from there, rise 6 and run 1 |
What is the y-intercept of this line: y = 3x -2? | (0,-2) |
all polygons have an exterior angle sum of ___ | 360 |
(n-2)180 is | the total degrees inside a polgon |
In a triangle, an exterior angles is equal to ____ | the sum of the two remote interior angles |
The total of the interior angles in a triangle is ___ | 180 |
If you have a point and the slope use the ____ | point-slope form |
Why are the triangle congruency postulates and theorems called shortcuts? | Because you can show congruece with less than all 6 parts of a triangle |
The L in HL stands for ___ | Leg |
What is the difference between AAS and ASA? | Whether or not the side is between the angles or not |
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then ___ | the triangles are congruent |
The longest side in a right triangle is called the ____ | hypotenuse |
In order to use CPCTC in a proof you must first show ___ | that the triangles are congruent |
When you name congruent polygons always list the corresponding vertices ____ | in the same order |
CPCTC stands for ___ | Corresponding Parts of Congruent Triangles are Congruent |
If you have AAA then the triangles must be __ | similar ( not congruent) |
Which side must be used in order to properly apply ASA? | the side between the two angles |
Which angle must be used to properly apply SAS? | the included angle |
The two triangle congruency shortcuts that do not work are ___ | ssa and aaa |
The longest side of a triangle must be ___ | shorter than the sum of the other two sides |
The smallest side in a triangle is __ | across from the smallest angle |
The centroid is the point where the three ___ intersect | medians |
The orthocenter is the point where the three ___ intersect | altitudes |
The incenter is the point where the three ___ intersect | angle bisectors |
The circumcenter is the point where the three ___ intersect | perpendicular bisectors |
True or False: If a point is equally distant from the endpoints of a segment , then it must be the midpoint of the segment | False ( it must be on the perp. bis.) |
the ___ is equidistant from the three vertices of a triangle | circumcenter |
Concurrent lines are lines that intersect in a ___ | single point |
If a point is equally distant from the endpoints of a segment, then it is on the ___ of the segment | perpendicular bisector |
If a point is on the angle bisector of an angle, then it is___ from the sides of the angle | equidistant |
the ___ is the center of a circle that interesect each side of a triangle once | incenter |
If a point of concurrency is outside a triangle, the triangle is ___ | obtuse |
to negate a conditional statement you must add two ___ | "Nots" |
~p implies ~q is the ___ | inverse |
~q implies ~p is the ___ | contrapositve |
To get the contrapositive, just ___ and ___ the original conditional | reverse, negate |
To get the inverse, just ___ the original conditional statement | negate |
When you assume the opposite (negation) to be true and show a contradiction exists to prove a statement, you have used ____ reasoning | indirect |
The longest side in a triangle is across from the ___ | largest angle |
If a polygon has exterior angles which each measure 60 degrees, then it has ____ sides | six (360/60 = 60) |
equiangular polygons have ____ | all angles with the same measure |
equilateral polygons have ____ | all sides congruent |
regular polygons have | both congruent sides and congruent angles |
Same-side interior angles are ____ | Supplementary |
What is the first step in constructing a perpendicular thru a point on a line is ____ | stab the point and make equivalent arcs on both sides of the point |
statements contradict each other when they both can't be___ | true at the same time |