2D Geometry Questions and Answers

0 S P R e Not drawn to scale If PQ 13 and OP 5 QR 8 find the length of SR Round your answer to one decimal place Your Answer

M N P MQN is 27 and arc OP is 136 What is the measure of arc MPO Your Answer

Question 7 1 point W Y Your Answer If mVX 85 find m Y X Answer

ion 8 1 point B Your Answer E C If BE 10 ED 12 and EC 4 what is the length of AE A

E Fu Your Answer H Given mGH 56 degrees and mEF 95 Find m J Answer G

Question 2 1 point G H If m GHI 54 degrees what is the measure of J Your Answer

1 A streetlight casts a shadow of 27 feet long If a garbage can 18 feet away is 3 feet tall and has a shadow that meets the shadow of the streetlight how tall is the streetlight A complete and annotated diagram is needed for full credit

Determine m CB 151 C E B D 34 A

The point A is outside a circle with center M The line between A and C intersects the circle at B and C and the line between A and E meets the circle at points D and E Given that mZCME 130 and m BMD 56 find mZA Answer

n the given figure find m AC m BD D B 1129 C A

3 Secants 10 Find the measure of the missing angle 95 7 261 Xo 53 208 1 po CLindsay Bowden 2017

Find x A x C 151 B

ABCDE is the regular pentagon drawn inside the circle M AX is a tangent to the circle at A and EX is a tangent to the circle at E Find mZAXE E X D M A C B

80 O 40 260 to 5 Solve for x 260 CLimbay Bouden 2017

Which question type did you feel most comfortable with Choose all that apply Central angles Inscribed Angles Tangent Angles Secant Angles Chord Angles

360 O 143 217 31 12 Find the m DE F D 939 1240 E CLindsay Bowde

2 Inscribed Angle 158 090 39 5 O 360 E 6 Find the m DEF D 79 1 pc Lindsay Bonden 2017

Find the value of x 75 P 100 x 30 Find the given measures in each parallelogram M 70 70 N Jack m ZM mZN D 50 2x 7 E 15 C 70 B DC AC

P 14 Prove similarity Complete the proof that AGHJ AGIH 1 G 2 3 4 5 H I Statement GH L HJ HI L GJ ZGHJ LGIH LG LG AGHJ NAGIH Reason Given Given

P 14 Prove similarity statements ETX ZW and ZVXW are supplementary Complete the proof that AVXY AUWY W X Y V U Statement 1 W and ZVXW are supplementary 2 ZY ZY 3 m2VXY m2VXW 180 4 m2W mzVXW 180 5 m VXY mzVXW m2W m VXW 6 m VXY m W Reason Given Definition of supplementary angles Transitive Property of Equality

13 Graph the following polynomials using the end behavior and behavior near an x intercept f x x 2 2x 3

14 Graph the following polynomials using the end behavior and behavior near an x intercept g x x 2 2x 3

Here is one part of a regular n sided polygon inscribed in a circle of radius 1 Come up with a general formula for the perimeter of the polygon in terms of n Explain or show your reasoning 1 1 eeble sho

onder Practicing Perimeter What do you notice What do you wonder C woro nisic103

nawas standard position 45 Show that cost 45 cos 45 The point Sovel lies on the terminal side af 45 in the point sardy lies on the terminal side of JON ja

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the reference angle 8 for the special angle 8 8 255 0 Sketch 8 in standard position and label y B 8 8 0 X X A 8 X X

Information is given about A ABC Determine if the information gives one triangle two triangles or no triangle Solve the resulting triangle s Round the lengths of the sides and measures of the angles to 1 decimal place if necessary a 135 5 b 106 2 B 13 4 Select one O a One triangle A 17 2 C 149 4 c 233 3 b No triangle c One triangle A 162 8 C 3 8 b 30 4 O d Two triangles A 17 2 C 149 4 c 233 3 and A 162 8 C 3 8 c 30 4

1 point Let OABC be a parallelogram on the xy plane where O 0 0 A 2 7 and C 3 2 Find the angle between the diagonals of OABC arccos 0 5948430054102947 rad Answer

Q3 In the diagram 3 cm 2 cm P 4 cm ABC ACD and APD are right angled triangles AB 4 cm BC 3 cm CD 2 cm Work out the length of DP Diagram NOT accurately drawn

1 8 490 vitemos ng Figure 3 below solve for x esbri SSLESTA X Fic 7 K C X 110 xevio woled tenugi prial sigh L spist doos om

P14 Prove simi Complete the proof that AGHI AHFI G 1 2 3 H 4 F HI 1 GH FHL GI ZGHI LHFI 21 21 5 AGHI AHFI Statement I Reason Given Given

2 and ZQTU are supplementary Complete the proof that ASTU R S U T Q Statement 1 ZQ and ZQTU are supplementary 2 LS LS 3 m2STU m2QTU 180 4 m2Q mZQTU 180 5 m STU m2QTU m2Q m2QTU Reason Given Reflexive Property of Congruence Definition of supplementary angles ASQR

A rectangle a triangle and four congruent semicircles were used to form the figure shown 4 m 1231 10 m 6m Which measurement is closest to the area of the figure in square meters

The dimensions of a rectangular prism are given in the net below F 96 in 2 G 168 in H 222 in A J 444 in 7 in 3 in 9 in 3 in What is the total surface area of the rectangular prism in square inches 7 in

O 7 6 2 1 2 3 6 2 The graph above shows the base of an object Compute the value of the volume of the object given cross sections perpendicular to the base are squares Give an exact expression or round your answe least two decimals

4 Graph the following label all critical points and intercepts a y 3x 5 2 b y 2x 4 x 7 Hint This is a thinking problem not a plug in the numbers problem

4pts Using Figure 4 below solve for OB A 15 17 B C Figure 4 O MathBas com OB

4pts Using Figure 2 Below solve for the radius OC Note segment OC AC 8 12 8 B 40

A curb is 4 inches high The ramp from the sidewalk to the street follows the same guidelines as other ramps no more than 4 8 degrees so a 1 10 ratio of vertical to horizontal What is the horizontal distance for a ramp with a 4 inch vertical distance

Simplify 2 4i 5 2 15 Write your answer in the form a bi Simplify al i Subm 4i 010

The graphs below have the same shape What is the equation of the red graph F x O A F x 1 x OB F x 1 x 2 OC F x 7 x OD F x 7 GO0 4 x2 Fid 9

K L M N T The m M 29 the measure of Arc LN 46 What is the measure of Arc KT Type your answer

VIRU RS RT Complete the proof that ARSVARTU S V 1 U Statement R RVIRU RS RT 2 ZTRU ZSRV 3 ARSV ARTU T Reason dry Given Vertical Angle Theorem

1 1 point F W U R B If the measure of Arc RB 42 0 and the measure of Arc FU 49 6 what is m FWU Picture isn t drawn to scale round to the nearest hundre Type your answer

F W U R Type your answer B If the measure of Arc UB 89 and m UWB 130 find the measure of Arc RF Picture is not drawn to scale round to the nearest hund

K L T M N Given measure of arc KT 153 and the measure of arc LN 12 what is the measure of M Type your answer

9 Simplify D 2 6 24 using imaginary unit iz B none of the D 4 6 above C 2 69

What would be the correct given statements for this diagrama A G and D BD and DB DB segment DB is the angle bisector of GBA A G and segment DB is the angle bisector of ACDA ABAD segment DB is the angle bisector of ADCA SKIP

In the diagram GH bisects ZFGL a Solve for x and find mZFGH b Find mZHGI c Find mZFGI a x Simplify your answer

Based on the graphic which three dimensional figure has the greatest volume A B 4x C D the oblique rectangular prism the rectangular prism they have the same volume height cannot be determined