Geometry Midterm

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find the midpoint of the segment with endpoints (5,8) and (-9,-4)

(-44)

find the slope of the line passing through the points A(-8,2) and B(5, -4)

-6/13

(line OB bisects <BOA line EA perpendicular line OA, and line EB perpendicular line OB.) which statment is NOT true

<AOE congruent <EAO

if line KF is the perpendicular bisector of line GH, then <KGF congruent ____

<KHF

(which of the following staements is true) triangle HLK is isosceles with base HK, triangle JHK congruent triangle JKH, <JHL congruent <JKL

triangle HIL congruent triangle KJL by SAS

<7 congruent <4

which of the following is not necessarily true

alternate exterior angles converse

which theorem guarantees l and m are prallel

which of the follwing is an example of the reflexive property

x + 4 = x + 4

write an equation that is perpendicular to y+-4x+2

y= 1/4 x + 1

two lines that are not coplanar and do not intersect are called ____

skew lines

if PQ= 3 and PQ + RS= 5, then 3 +RS = 5 is an example of the __

substitution

two rays that are perpendicular

the figure below represents which of thefollwing statements

identify the property of congruence if <B congruent <C and <C congruent <D, then <B congruent <D

transitive property of congruence

(which of the follwing statements is true) HI = JK , line IJ congruent line LK

triangle HIJ congruent triangle JKL by SAS

two sides of a tringle have sides 8 and 18. the length of the third side must be greater than __ and less than ____

10, 26

R,S, and T are collinear . S is between R and T. Rs=2w+1, ST=w-1, and RT=18. use the segment addition postulate to solve for w. ten determine the length of RS

13

given: line AB bisects <DAB. find ED if CB=9 and CE=12

15

solve for x given BD = 5/2x +5 and AE= 7x+6. assume B is the midpoint of line AC and D is the midpoint of line CE

2

in triangle ABC, if line AB congruent ot line BC and m<A= 39, then m<C = ___

39

let B be between C and D. use the segment postulate to solve for w. CB= 4w-4 BD=2w-8 CD=24

6

what is the slope of the line that passes through points A(-2,-3) and B(5,3)

6/7

(triangle ABD congruent to triangle CBD) name the theorem of postulate that justifies the congruence

SAS

find the distance between the points (3,-3) and (0,-5)

\13

the nonshared sides of two adjacent ang;es form a pair of opposite rays. the angles are ___

a linear pair

which one of the statements below is false

a quadrilateral has 6 sides

a line __ contains at least two points

always

if two distinct lines intersect, their intersection is __ one point

always

if an obtuse angle is bisected, the resulting angles are __

always acute

the medians of a triangle are concurrent. their common point is the ___

centroid

(give the reason for the last statemnet in the proof) statement reason <1 is a supplement of <2 given <3 is a supplement of <4 given <2 congruent <4 given <1 congruent <3 ________

congruent supplements theorem

in the figure, <6 and <2 are are ___________

corresponding angles

translation

describe the transformation you can use to move the solid figureonto the dashed figure

the figur below is an example of a __

heptagon

(rewrite the statement in if-then form) all equilateral triangles have three congruent sides.

if a figure is an equilateral triangle, then it had three congruent sides

given: <B congruent <E and <C congruent <F. what other piece of information is needed th show triangle ABC congruent triangle DEF by ASA congruence postulate

line BC congruent line EF

a median of triangle ABC is ___

line BF

(give the reason for the last statment in the proof) statement reason <1 and <2 are a linear pair given <1 and <2 are supplementary ________

linear pair postulate

in a triangle, a segment connecting the midpoints of the sides of the triangle is called a _

midsegment

a,b, and c

name three points that are collinear

in triangle ABC, AB= 3x-2, BC= x+4, and AC= 7. also line AB congruent line BC. which term does NOT describe trianlge ABC

obtuse


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