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Geometry Ch 3
Stepp's Prentice Hall Geometry Chapter 3 Parallel and Perpendicular Lines
| Question | Answer |
|---|---|
| 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
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