2D Geometry Questions and Answers

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

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

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

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

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

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

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

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

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

Is parallelogram UVWX a rhombus U 70 74 X W

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

Sketch the region corresponding to the statement P z 1 9 Shade Right of a value 4 2 1 1 1 5 Shade Right of a value 4 Click and drag the arrows to adjust the values Sketch the region corresponding to the statement P z c 0 05 1 5 0 1 2 Click and drag the arrows to adjust the values 0 1 2

2 When a fair coin is flipped twice find each of the following probabilities a P both are H b P 1st is TU 2nd is H d P 2nd is H both are T c P both are T at least one T e P at least one H 2nd is T 3 Consider a well shuffled standard deck of 52 cards When a card is randomly selected Let A and D be the following events A the selected card is an ace D the selected card is a diamond Find each of the following probabilities a P A b P D c P An D d P AUD e P A D f P DA g If two cards are being randomly selected without replacement what s the probability that both cards are ace h If two cards are being randomly selected without replacement what s the probability that the first card is a red king and the second card is a black king

Quadrilateral UVWX is a square What is WX U 7x 9 X X 39 V W

Find the value of y that makes quadrilateral STUV a parallelogram T S 8y 66

Is parallelogram FGHI a rhombus I ves E 90 F H G

Is parallelogram FGHI a rectangle H I ves F E G

Find the value of b that makes quadrilateral EFGH a parallelogram H G 11b 35 5b 43 E

Find the value of p that makes quadrilateral EFGH a parallelogram H 7p 8 E F G 8p 7

Quadrilateral ABCD is a square What is the value of y A 19y 55 D 18y 57 C B

Find the value of t that makes quadrilateral EFGH a parallelogram G 7t 1 10t 2 H F 11t 5t 3 E

Quadrilateral EFGH is a rhombus and mZDEF 9p 36 What is the value of p E F P D 63 O H G

Is parallelogram HIJK a square Vec I LG K H

Select all the statements 2 Show your work here SR RT 18 QR RT The triangles are not congruent R QR RU 18 14 ZQRSZTRU because vertical angles are congruent The triangles are congruent by the SAS criterion The triangles are congruent by the ASA criterion T U The triences are congruent by the SSA critenen ZROS ZRTU because vertical angles are congruent

Quadrilateral DEFG is a rhombus What is mZEDF E 66 D F

congruent to AQER R Show your work here 4SQR ZTSQ 62 5 62 QS SQ Ce The triangles are congruent by the ASA criterion ZQSR ZSQYT 9 The triangles are congruent by the SAS criterion The triangles are not congruent The triangles are congruent by the AAS criterion

If PQ 17w 22 and PS 9w 30 find the value of w that makes quadrilateral QRST a parallelogram Q R P T S

Quadrilateral RSTU is a rhombus What is TU R 2b 76 U b 4 S 1

Is parallelogram QRST a rectangle Q T ves 79 P 84 S R

congruent to AEGF F Show your work here EG GE 42 ZECF ZGER G ZCEF ZHGE 42 The triangles are not congruent E The triangles are congruent by the ASA criterion The triangles are congruent by the AAS criterion The triangles are congruent by the SAS criterion H

Solve for Zn Submit your answer in terms of degrees A B 98 n

Solve for Zk Submit your answer in terms of degrees A B 122 k

Find the value of z that makes quadrilateral STUV a parallelogram V Z 65 U 6z S T