2D Geometry Questions and Answers

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

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

On a number line two different points are both 5 units from the point with coordinate 6 The solution to which of the following equations gives the coordinates of both points A y 6 5 By 6 5 C y 5 6 D y 5 6

In circle N with m MNP m MQP Q M za N 74 find the P

3 4k 10 26 5k 21 What value of k satisfies the equation above

Robert Louis 3 9 h sch 6 1 4 5 Height feet 4 4 5 7 5 3 4 2 EPORTE 5 8 3 8 Robert and Louis each have five rose bushes and the heights of the bushes are shown in the table above The mean of the heights of Robert s rose bushes is 0 3 feet greater than the mean of the heights of Louis s rose bushes What is the value of h CA In the xy plane the graph of y 4x 25x intersects the graph of y x at the points 0 0 and c c What is the value of c 37 38 John is analyzing the monthly expenditures of his business to determine whether his expenses exceeded his predicted budget Of the money he spent this month 10 was for office supplies 40 was for employee salaries 35 was for rent and the remaining 450 was for utilities How much more money in dollars did John spend on rent than on office supplies An elementary school had k kindergarten students enrolled at the beginning of the 2011 school year The number of kindergarten students enrolled tripled each year until 2014 when the elementary school had 540 kindergarten students enrolled What is the value

Points P and Q lie on a circle with radius 2 and are PQ has length What fraction of the circumference is the length of arc PQ 2700 13

16 P 12 12 In the figure above PQ is parallel to RT What is th length of PS 3 R T 5

20 3 How many gallons of a juice mix that is 60 orange juice must be added to 5 gallons of a juice mix that is 30 orange juice to obtain a juice mix that is 40 orange juice Con

If r 64 for positive integers r and s what is one possible value of s 32