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Geometry Ch 3

Stepp's Prentice Hall Geometry Chapter 3 Parallel and Perpendicular Lines

QuestionAnswer
Two angles are ____ if their measures add up to 90 degrees. complementary
Two angles are ___ if their measures add to 180 degrees supplementary
two intersecting lines form two pairs congruent ____ angles vertical
A ___ pair consists of two angles that are adjacent and forms a straight line linear
vertical angles are ___ congruent
If two angles are a linear pair, then ____ they are supplementary
A line intersecting two or more coplanar lines is called a ____ transversal
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 crossed by a transversal only ___ sizes of angles are formed 2
If parallel lines are cut by a transversal, then corresponding angles are ___ congruent
When parallel lines are cut by a transversal then _____, ______, and _____ angles are congruent corresponding, alternate interior, alternate exterior
if parallel lines are cut by a transversal, then alternate interior angles are ___ congruent
if parallel lines are cut by a transversal, then alternate exterior angles are ___ congruent
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
if lines are cut by a transversal such that corresponding angles are congruent, then the lines must be ____ parallel
if lines are cut by a transversal such that alternate exterior angles are congruent, then the lines must be ____ parallel
If one angle in a parallel line/ transversal line system is 90, then all the angles are _____ 90
slope = rise over run
a line going up as you move from left to right has a ____ slope positive
a line going down as you move from left to right has a ___ slope negative
a vertical line has ___ slope undefined
a horizontal line has ___ slope zero
In a coordinate plane, two distinct lines are ____ if and only if their slopes are ____ parallel, the same
In a coordinate plane, two nonvertical lines are ____ if and only if their slopes are ____ perpendicular, negative reciprocals
the slope-intercept equation is y = mx + b
In the slope-intercept form of the equation of a line "m" is the ___ slope
In the slope-intercept form of the equation of a line "b" is the ___ y-intercept
What is the slope of this line: y = 3x -2? 3
What is the slope of this line: y = -4x + 2? -4
What is the y-intercept of this line: y = 3x -2? (0,-2)
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 kind of line has the equation y=2? a flat line passing thru (0,2)
what kind of line has an equation x = -3? a vertical line passing thru (-3, 0)
What is the midpoint of a line with endpoints (7, 10) and (3,16)? (5,13)
What is the midpoint of a line having endpoints (3,8) and (3,0)? (3,4)
If a line has one endpoint at (-2,6) and a midpoint at (1,1)? (4, -4)
In an intersection with an angle of 35 degrees, what are the other 3 angles? 145, 35, and 145 degrees
Two angles that are outside and opposite the transversal. alternate exterior
Two angles that are opposite a transversal. alternate
Two angles that are in between two lines. interior
Two angles that are outside two lines. exterior
Two angles that are in the same relative location. corresponding
To construct a parallel Make a transversal and copy the angle
The only kind of perpendicular we can make also must be a ___ bisector
Regular means_____ both equilateral and equiangular
The total of the interior angles in a triangle is ___ 180
If you have a point and the slope use the ____ point-slope form
Unless otherwise mentioned all polygons are ____ convex
all polygons have an exterior angle sum of ___ 360
isocseles means two congruent sides, and two congruent angles
scalene means no congruent sides or angles
The two ways we classify triangles is by thier ______ and ______ sides and angles
In order to name a special pair of angles you need to identify the pair of parallel lines and the transversal
In a parallel system all the angles will be either ___ or ___ congruent or supplementary
In a triangle, an exterior angles is equal to ____ the sum of the two remote interior angles
the key to finding the total of the interior angles in a polgyon is caculating how many triangles can be formed from one vertex
Each ange will be the same in a ___ polygon regular (or equiangular)
(n-2)180 is the total degrees inside a polgon
a dodecagon has 12 sides
a seven sided polygon is a heptagon
a nonagon has 9 sides
Ax + By = C is the standard form of the equation of a line
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
How can you graph by using the intercepts? let x be zero to find the y-intercept and let vica versa
what is the word for a 27 sided figure? 27-gon
In a right triangle the two acute angles are ____ complementary
one slope must be + and one - if the lines are perpendicular
To better analyze a drawing with several lines and for parallel relationships, you should isolate and redraw only the _ lines that frame the two angles you are analyzing 2
Created by: criswell216