2D Geometry Questions and Answers

B Name the inscribed angle and its intercepted arc What is the measurement of the arc if the inscribed angle is 48 What is the measurement of the inscribed angle if the interceptec arc is 112 C A

10 If0 e 90 and cos 9 25 A B 6 6

A guy wire is attached to a pole for support If the angle of elevation to the pole is 67 and the wire is attached to the ground at a point 137 feet from the base of the pole what is the length of the guy wire round to 2 decimal places A 148 83 feet B 350 62 feet C 58 15 feet D 143 40 feet E 578 29 feet

2 A B tan D tan D tan D tan D 24 30 18 24 Given that AABC is similar to ADEF which is a possible trigonometric ratio for D 24 18 3 30 01 A B 4 5 C D E F

17 The graph below is a transformation of the parent function p x x What function is shown in this graph V A g x x 2 B g x x 2 3 C g x 2 x 3 D g x x 3 2

Which of the following graphs represent the function f x x 4 and the graph of its inverse O O 4 3 2 2 3 4 5 2 3 41 5 4 3 2 1 3 ir Wi 10 4 3 T 2 3 5 5432 AY 41 23 4 5 x

For which pair of triangles would you use ASA to

You know the following information about triangle ABC a What additional information is needed to prove that the 12 ZBE ZE

On your geometry test you have two triangles

By which rule are these triangles congruent

By which rule are these triangles congruent A SAS

What additional information can be used to prove ADSB ATSR by SAS 4x A B C SB ST RS BS DS SR

Question 1 25 points Which of the following graphs represent the function f x 3x 5 and the graph of its inverse O O O 5 4 3 2 5 4 3 2 in A WNA 2 3 5 31 MT in A w N 31 y 5 2 3 4 5 2 3 4 5

By which rule are these triangles congruent 4x A SAS 4x B ASA M

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Which of the following statements is not true A O cos A B C A D tan A sin A sin A 15 17 8 15 15 17 8 17 17 15 8

Carrie has a spherical balloon that has a diameter of 14 centimeters Mohamed has a spherical balloon that holds 3 times as much air as Carrie s balloon What is the diameter of Mohamed s balloon Show your work here Hint To add the nth root symbol V type root

A cylindrical glass has a diameter of 6 inches and is 12 inches tall Suppose the faucet dispenses water at a rate of 4 cubic centimeters per second How long does it take to fill the glass 90 Enter your answer as a decimal rounded to two places Show your work here Hint To add the nth root symbol V type root

State the coordinates of the point 10 5 10 LO 5 5 10 y LO 5 10

14 Find the measure of the central angle of a sector if its area is 57 and the radius is 6

9 The area of a circle is 2257 square inches Find the area of the sector whose central angle is 45

12 Find the radius of a circle which has a sector area of 97 whose central angle is 90

Which two transformations were performed to obtain AB in the diagram A Reflect over the line x 1 then translate 6 0 B Reflect over the line y 1 then translate 0 6 C Reflect over the line x 1 then translate 0 6 D Reflect over the line y 1 then translate 6 0 B B A B

State the coordinates of the point 10 9 8 7 6 5 4 3 2 1 10 9 8 y 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9

JK is tangent to circle O at point D DL is the circle s diameter Find m JDL L O J D K

HG is tangent to circle O at point W WU is the circle s diameter Find m GWU U H W G

If mV S 180 and mZZ 58 find mW A W Z A S

If my mQI S m and mZQBI 180 and Q B 13 Y 9 I find

Find the volume of the cone given the measures shown 13 3 23

4 What are the lengths of sides m and n 5 2

5 What are the lengths of sides m and n 8 n n

6 What are the lengths of sides m and n 14 30 m

7 What are the lengths of sides m and n 45 17 2 n E

A uduqni bas 19qsq 8 CK AOUL 200LG OUG ADM B U 45 T

In the diagram below CB 3 2 Determine AB and AC B 600 A 30 cool YA13M030 C HOTA

The figure shows rectangle RSTW Which of the following conditions satisfies the criteria for rectangles S T Z 40

If mAZ 120 and m FMJ find mFJ mFJ J F M A 129 Z

A E B D Given the following segment length find the length of segment AB

If mDL 53 and m DUL 78 find m SI S I U L D

4 Show all work and simplifying for the conversions below No work no credit Convert 35 to radians Convert 200 to radians Convert 145 to radians 2e story Convert 5m radians to degrees 6 3 t Convert to degrees 2 2 T Convert to degrees 4 5m Convert radians to degrees Be 12 Convert 120 to radians 3 T 4 Convert radians to degrees

3 Q2 Review AE is a straight angle and the ZCXD 4x mzDXE 2x mzCXB mLAXB 6x 30 Determine mzCXE B X E 0923 16dtrun 042 tensiblesden ener

3 The number of radians in a 480 angle can written as m where m is a constant What is the value of m a 4 b C 13 Nat d 2 9 4 La Adh 1951

1 Determine the number of radians in ZDCE and ZACB m DCE m ACR E D 45 B 45 C 90

2 What is 4 3 radians in degrees Q 120 240 210 270

If mTE 54 and mND 164 find m TAE T D A E N

If mCR 142 and mSG 42 find m SXG C R X G S

If mKS m D 62 and mJA 176 find A J S K D

AL is tangent to circle O at point A and AI is a secant line If m AI 134 find m IAL L A O V

If mJH 50 and mVB 150 find m W V B H W

baking ny produces ice cream cones A each with an internal radius at the opening of 4 centimeters and an internal height between 14 75 centimeters and 15 centimeters What is one possible volume rounded to the nearest cubi centimeter of an ice cream cone produced by thi company