Geometry Midterm
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