2D Geometry Questions and Answers

On a separate sheet of paper find the measurement of the arcs listed below using the given circle 3 points each a EF b DB c CFE E D A 60 52 C B

Find the exact values below If applicable click on Undefined tan 10x 3 0 csc 315 0 3 16 Undefined X B JT

1 2x 3y 6 4x 6y 18

10 8 6 10 2 6 8x 10y 12 8 10 1916

3 4x 5y 10 10x 8y 4

In order for the parallelogram to be a square x 4x 17

Luther made a time capsule to share all of his favorite stuff with the future Below is a picture of the time capsule 30 km 38 km How much stuff can Luther fit it the time capsule Use 3 14 for m Round your answer to the nearest hundredth if necessary Luther used Luther can fit km of stuff in the capsule How much material did Luther use to make the time capsule Use 3 14 for T Round your answer to the nearest hundredth if necessary km of material

Show that the lines L1 x 2 t y 3 2t z 4 t L2 x 3 t y 4 2t z t are parallel and find rquation of plane they determine

AB AD and BC DC A x B 35 829 C D x 1

In the figure below points S T and U are the midpoints of the sides of APQR Suppose PR 70 PQ 74 and SU 12 Find the following lengths P S R QR QT 0 ST

If AABC ADEC ZABC 2x ZBCA 48 and ZCDE 74 A D B C x E

Use the given information to prove that ABEA ABDC A Statement Validate 4 6 2 E Given m 25 m 26 BE BD Prove ABEA ABDC Reason Reason Send To Proof Send To Proof Send To Proof

Decide if this statement is valid or invalid If you study you will improve your vocabulary If you improve your vocabulary you will raise your grades Therefore if you study you will raise your grades Valid

What is the most specific name for the figure A a 0 B 0 b C a 2b D 2a b B A Rhombus D B Trapezoid C Rectangle A Sa Soc D

What is the most specific name for the figure A a 0 B 2a a C a 2a D 0 a B A A Rhombus B Square C Rectangle D

What is the most specific name for the figure C B A Square A B Parallelogram C Rhombus D D Rectangle A a 0 B 3a 2a C 2a 3a D 0 a

the area formula to its figure A h b b B s 2 C lw D E bh

own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle DF MN HK BC M B D H T 0 Choose 1 Choose Chord Tangent Secant K Arc C N

An aquarium is to be drained The aquarium is shaped like a rectangular prism with length 16 in width 12 in and height 10 in Suppose water is pumped out of the aquarium at a rate of 128 in per minute If the aquarium starts completely full how many minutes does it take to empty the aquarium 0 minutes X

The radius R of a sphere is 8 4 cm Calculate the sphere s volume V Use the value 3 14 for and round your answer to the nearest tenth Do not round any intermediate computations 121 V 3 cm X

The point N lies on the segment MP 4 Find the coordinates of N so that MN is M 19 12 N of MP P 8 6 Coordinates of N D

Since circles have a vocabulary all their own it is important to be able to visualize which part of the circle your problem is asking about in order to plan how to solve it Using the figure below identify these parts of the circle AB BCA AOC ABC B C Choose Central angle Inscribed angle Minor arc Intercepted arc Major arc Choose Choose

The point B lies on the segment AC 2 Find the coordinates of B so that AB is of AC 7 A 7 2 B c 28 12 Coordinates of B 0

The sides of an isosceles triangle are 26 26 and 24 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 26 24 26 2 cm

A side of an equilateral triangle is 40 cm long What is the area of the triangle Do not round any intermediate computations and round your answer to the nearest tenth 40 0 2 cm X

A square has a diagonal that is 48 m long What is the area of the square If necessary round your answer to the nearest whole number 48 2 m

The circle below has center E Suppose that m2 FEG 72 and that FH is tangent to che circle at F Find the following E H a m FG b mz GFH 0 X

Write an equation of a circle with diameter AB A 4 4 B 14 14 OA x 9 y 9 50 OC x 9 y 9 50 OE x 9 2 y 9 4 O B x 14 y 14 4 OD x 9 y 9 14 OF x 9 2 y 9 50

A B What else is needed to prove these triangles congruent using the HL theorem A A D B Nothing else is needed to use the HL theorem C Both ABC and ZDCB need to equal 90

30 Find the area of the following figure The units are in hectometers A 18 2 10 hm

11 Find the equation of the circle whose center is 2 1 and radius 5 units O x 2 y 1 25 O x 2 y 1 25 O x 2 y 1 25 O x 2 2 y 1 25 12 Name the following relationship between theses circles O Concentric circles O Disjoint circles O Intersecting circles 2

14 Name the following relationship between theses circles O Intersecting circles O Disjoint circles O Tangent circles O Concentric circles

Find the volume of the pyramid 7 cm 17 cm O 387 37 cm O 396 67 cm O 399 78 cm 20 cm

Find the geometrical name of the object shown below Go O Triangular prism Hexagonal prism O Square prism Rectangular prism

Question 45 Points 2 The volume of a cylinder is 768 in Find the radius of the cylinder in inches if the height is 3 in O 14 inches O 15 inches O 16 inches O 17 inches

Find the volume of the cone that has the same base and height as the cylinder shown 12 m 21 m O 791 28 m O 793 23 m O 797 67 m

Question 40 Points 3 Find the volume of a sphere with a radius of 9 cm Use 3 14 2562 cm 3000 cm O 4153 cm O 3052 cm

Question 27 Points 3 The points 2 1 2 4 5 1 and 5 4 are the vertices of a polygon What type of polygon is formed by these points O Trapezoid O Square O Triangle O Rhombus

Question 44 Points 1 Find the volume of a cylinder if the radius and height are 9 cm and 8 cm respectively O648 cm 658 cm O 548 cm 643 cm

The graph of y f x is shown below Draw the graph of y f x 6 4

Question 29 Points 2 Find the equation of a line passing through 5 5 that is parallel to the line which passes through 5 3 and 10 6 O y 5x 3 Oy 5x13 3 Oy 3x 5 4 O y 5x 2

Which of the following formula is used to find the distance between the points X y and x2 Y on the coordinate plane O x O x y y x1 O x x y y x x Y Y x2 x1 Y Y Complete Later Complete

3 Graph the following and identify the shape too x 49y 6x 40 0 a b 4x 9y 12x 18y 18 0 c x y 6x 2y 8 0 d 5x 3y 10x 24y 73 0

d the equation of the exponential function whose graph is shown below 21 14

How is log 728 written in terms of natural logarithms using the change of base theorem The logarithm log 728 can be written in terms of natural logarithms as

6 5 4 3 2 3 2 ON 3 6 2 3 De 5 a The graph above is a graph of what function

Write the vector in the form a b u 70 X The vector is

Question 24 Points 1 Which of the following equations represents the standard equation of a circle O x h y k O x h y k O x h y k O 2 x h y k

Question 23 Points 1 Which of the following equations shows the equation of a circle with radius of 1 unit and center at 9 4 O x 9 4 1 O x 9 y 4 1 O x 4 y 9 1 O x 9 y 4 1

4 4 39 These are 111 Special R