geometry

56

<CDE ane <FDE are complementary, m<CDE= 3x +10, and m<FDE= 6x+8. what is m<FDE?

m<A + m<B=90

A and b are complementary Make a conjecture based on the given information

15

Given: ABC~XYZ, m<A=55, m<B=45, m<Z=5x+5. Find X.

True

Given: two angles form a linear pair Conjecture: they are supplementary Is the conjecture true or false

B

If A, B, and N are collinear and AB + BN= AN< which point is between the other two?

-18

Point A= -3 and AB= 15. What is a possible coordinate of B?

44

SV bisects <RST. If m<RSV=6x-2 and m<VST= 3x+10, find m<RST

3

TW and SV are medians in RST and RV=4x+3, WS=5x-1, VT=2x+9. find the value of x.

AAS

WX//YZ & <W~<Y. What reason proves the triangles congruent?

169.2 m

at a certain time of day, a 1.8 m tall person standing next to the Washington monument casts a .7 m shadow. at the same time, the Washington monument casts a 65.8 m shadow. how tall is the Washington monument?

Addition Property

if x-15=3, then x=18 State the property that justifies each statement

26/43

solve this proportion 2/43=J/13

12.5 in

you make a scale drawing of a tree using the scale 5 in = 27 ft. If the tree is 67.5 ft tall, how tall is the scale drawing?

58

<CDE and <EDF are a linear pair, m<CDE=5x +2, and m<EDF= 3x +10. What is m<EDF?

18

A is the midpoint of XY. XA= 3x and AY= 5x-6. Find XY

6.4

According to the Graph, which is AB to the nearest tenth? A= ( -1,-3) B= (3,2)

80

BD Bisects <ABC; m>ABD=4x and m<ABC=2x+60. Find m<ABC.

(7/2, 2)

Given C(2,-3) and D95,7). What is the midpoint of CD?

m<O=160

Given an isosceles triangle MNO, <O is the vertex angle. If m<M=6x+8, m<N=2x+4, find m<O.

Distributive Porperty

If 5(x-7)=25, then 5x-35=25 State the property that justifies each statement

Supplements

If <1 and <2 are complements, <2 and <3 are complements, and <3 and <4 are supplements, what are <1 and <4

<H,<G,<I

If GHI had side lengths GH= 18, HI=19, and IG=26, list the angles in order from smallest to largest.

Z

If XY=6, YZ=4, and XZ=2, Which point is between the other two?

68 mm

MNOP~QRST with a scale factor of 5:4. MP= 85 mm. What is the value of QT?

16

One angle is ten more than 4 times its complement. Find the Measure of the smaller angle.

50

The supplement of an angle is 30 more that twice the angle. Find the smaller angle.

42:31

There are 84 boys in a freshman class of 146 students. what is the ratio of boys to girls

T

True or False Watch the little things when it comes to the test

False

True or False Only to a squiggle for the given?

120

What is the measure of the vertex angle of an isosceles triangle if the base angle is 30?

Copying an angle

When constructing a line parallel to a given line, you will be..

Y is the midpoint of XZ

X, Y and Z are collinear and XY= YZ Make a conjecture based on the given information

3:4

a hockey player made 9 goals in 12 games. what is the ratio of goals to games

20.4

a rectangle has a length of 4 and a width of 11. a similar rectangle has a width of 56. what is the length of the second rectangle?

No, 5+7= 12

can 5 ,7, and 12 be the side lengths of a triangle?

c

given ABC~XYZ what is false? A. BC/YZ=AC/XZ B. <C~<Z C. AB~XY D. AB/XY=CA/XZ

3.8

given LMN~PQR, LM=11, MN=7, LN=10.5, PQ=4/ find PR

BC~EF

given: <B~<E and <C~<F. What other piece of information is needed to show ABC~DEF by ASA Congruence Postulate?

47

given: ABC~XYZ, AB=54, BC=34, XY=5x+4, XZ=4x+7. Find XZ

8.9

if A(-2,-3) and B(6,1) are given. Find the distance between A and B.

Transitive Property

if AB=ZY and ZY=QD, then AB=QD State the property that justifies each statement

m<A=10

if ABCD=QRST, m<A=x-10, and m<Q=2x-30, what is m<A?

CPCTC

if CAR~PUN, then RC~NP because of what?

AC

in ABC m<A=x+10, m<B=x+5, m<C=3x-35. determine the longest side

TE

in THE, what is the included side for <T and <E?

8400 ft

in XYZ, TS is parallel to XZ. suppose YS= 900 ft, YZ=3600 ft, TS= 2100 ft. What is the length of XZ?

LJ, LK, JK

list the sides of JKL in order from shortest to longest if <J=67, <k=73, <L=40

Obtuse

m<A= 5x + 2 and m<B= 2x +10. <A and <B are supplementary, what type of angle is <A?

<C,<B,<A

name the angles of ABC in order from smallest to largest if AB=7, BC=6, AC=5

11

points X,Y,< and Z are collinear and Y is between X and Z, if XY= 4t-5, YZ=2t-1, and XZ=30. what is YZ?

192 cm

the lengths of the sides of a triangle are in the extended ration 3:10:12. the perimeter is 400 cm. What is the length of the longest side in centimeters?

9<x<23

two sides of a tirangle have lengths of 7 and 16. which inequalities describe the possible lengths for the third side?

1. True

when constructing the bisector of a line segment, you are alos consturcting the perpendicular bisector of the segment. True or False?

on the triangle

where is the circumcenter in a right triangle

outside

where is the orthocenter in an obtuse triangle