Geometry Questions

If ABCD is a square and AB 10 what is the meas 1414

How is angle a related to angle d x x x A B alternate interior angles vertical angles corresponding angles A C e 9 h f

x Given that lines a and b are parallel and that m 24 128 find m27 A B 62 128 b

A If ABCD is a square and AB 10 what is the measure of AC rounded to the nearest hundredth B C D 19 21 28 28 14 14 D 7 07 E B C

x Which statement is true about all parallelograms 4x A B The interior angles are all congruent D The diagonals are perpendicular to each other C All four sides are congruent Two pairs of opposite sides are congruent

A section of a roller coaster track forms a parallelogram ABCD If m ABC 72 what is m DAB x x A 216 B 72 108

Main A 60 Broad 130 120 Oak M A city is planning to start construction of a new street The new street will be named Elm str and Cherry street are parallel to each other If Elm street is constructed so that it is parallel

x Determine the MOST SPECIFIC name for the figure in the diagram x A B quadrilateral parallelogram rhombus 1 Plotted Figure 9 8 7 6 5 3 1 2 A 4 T 5

You are trying to prove that quadhilateral ABCD is a rhombus You know that both pairs of opposite sides are parallel a parallelogram Which additional fact would pro that ABCD is a thombus X X A B C 4x D The opposite angles are congruent The adjacent angles are supplementary The diagonals are perpendicular The diagonals bisect each other

The quadrilateral shown is a rectangle What is m ZVW A 59 B 00 119 C 39 4x D 61 N 61 Y

4x A m23 32 Given that the quadrilateral shown is a rhombus which statements are correct X B C D LL m22 58 m26 58 m21 32 3 m 7 32 32 N 8 7 9 5

If ABCD is a square what is mZAEB A 30 x B 60 C 90 xD 45 D E B C

Find the coordinates of point B on AC such that the ratio of AB to AC is 1 4 C 10 5 10 5 5 10 A Cre 10

Let H be a point on the line segment GI such that the ratio of GH to HI is 3 1 Find the coordinates of point B 10 5 10 5 15 10 5 10

10 Find the measure of the indicated arc 3 points 2 119 65 H 168

9 In the diagram below the measure of arc SQ is 106 degrees and the measure of arc PR is 120 degrees Find the value of x 3 points S P X R

12 Find the value of x 3 points S x 5 N x 8M K 3 4 L

For problems 1 6 Identify the given part of circle E 1 point each M 1 Segment IJ 2 Segment FH 3 Segment EG 4 Line KL 5 Liner G H K

11 Find the value of x 3 points X 6 X 4 12

7 Find the measure of arc AC 1 point A B 62 Q 3 C

A 7 6 5 4 3 2 1 6 5 4 3 21 11 SAWN to 2 3 4 5 B B O 1 2 3 4 5 6 7 8 9 10 2 Determine the scale factor of a dilation that maps Circle A onto a circle congruent to Circle B X 3 Determine the scale factor of a dilation that maps Circle C onto a circle congruent to Circle A

8 A lawn sprinkler can spray everything within fourteen inches Given that the angle has been set to 75 how much lawn will this sprinkler head water Round to the nearest tenth of an inch

3 8 and is in quadrant II then find the 8 exact value of each of the following If sin 0 a cos 0 b tan 0 c sec 0 d csc 0 e cot 0

a For which angle measures 0 between 0 and 2 radians is cos b What are the values of sin x for these angle measures x Clear Undo Redo YA

Margaret wants to buil triangular shaped with

Find the coordinates of point I on GI such that the ratio of GH to GI is 1 3 G 2 9 I 12 6

Let K be a point on the line segment JL such that the ratio of JK to KL is 1 3 Find the coordinates of point B 10 J 5 10 LO 5 5 10 5 10 L

Your answer is incorrect VY Your answer is incorrect der AXYZ in the figure below erpendicular bisectors of its sides are TS US and VS her words S is the circumcenter of AXYZ ose VS 66 YZ 82 and ZS 110 KS UZ and VY that the figure is not drawn to scale

Find the area of the triangle in square units Round your answer to the hundredths place if necessary 10 5 R 10 5 S 10 5 Q 4 10

question 10 of 10 1 point Question Attempt 1 of 2 3 5 dians of AJKL are JN KP and LM They me er words is the centroid of AJKL e KP 36 JQ 22 and LQ 16 e following lengths at the figure is not drawn to scale

4 3 Lines in Triangles Question 9 of 10 1 point Question A The medians of AABC are AE BF and In other words G is the centroid of AABO Suppose GF 8 GD 4 and AE 33 Find the following lengths Note that the figure is not drawn to scale

Find the value of s in rhombus HIJK J I 2s 90 4s 18 H

If TW 2a 25 and VW 4a 65 find the value of a in parallelogram STU T S W U V 1

Quadrilateral DEFG is a rhombus What is EF F G CC C 75 D 2c 66 E

Look at this diagram I L O M 3 H K N If IK and LN are parallel lines and m LMJ 130 what is m JH

KM and NP are parallel lines Q O IN P ZPOQ and ZKLO K ZPOQ and ZNOQ L Which angles are adjacent angles M ZPOQ and ZNOL ZPOQ and ZMLJ

Quadrilateral VWXY is a rhombus and mZWXZ 11a 49 What is the value of a X a W N 30 Y V

KM and NP are parallel lines K N O L ZPOL and ZKLO M Q Which angles are supplementary angles ZPOL and ZNOL P ZPOL and ZML POL and NOO

Find the value of a in parallelogram CDE E 38 F D a 16 C

Is parallelogram QRST a rhombus T ves no Q S 57 R

N L K M ZJIL and ZKLI H ZJIL and ZHIL I J Which angles are supplementary angles G ZJIL and ZMLN ZJIL and ZHIG

Find the value of u in rectangle ABCD B 2u A u 6 D

TV and WY are parallel lines T W X U ZWXU and ZYXU S ZWXU and ZTUS V Z Which angles are alternate interior angles Y ZWXU and ZVUX WYL and

Look at this diagram 3 G H I D E C F If DF and GI are parallel lines and m FEH 111 what is m D

Quadrilateral CDEF is a square What is the value of u F C u 37 E 2u D

Is parallelogram UVWX a rhombus U 70 74 X W

Quadrilateral QRST is a square What is mZPQR Q R S P T

E H diagram K I F D G J If EG and HJ are parallel lines and m HIK 61 what is m

QS and TV are parallel lines W U T V ZTUR and ZVUW R ZTUR and TUW S Which angles are vertical angles P ZTUR and SRL ZTUR and ZQRP

Is parallelogram PQRS a square Q R 94 T S P