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Geometry Exam 2
Stepp's Prentice Hall Geometry Chapter 3, 4, and 5 Exam Jan 08
| 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 |
Created by:
criswell216
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