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Geometry Exam 2

Stepp's Prentice Hall Geometry Chapter 3, 4, and 5 Exam Jan 08

questionanswer
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
Created by: criswell216