2D Geometry Questions and Answers

What is the area of the shaded region 4 in 16 in 5 in square inches 13 in

1 Convert 7 900 micrometers Unit Conversions to Use into megameters Conversion

What is the surface area 1 yd 6 yd 3 yd Submit square yards

17 mzDBC 59 and DA 15 3 In right triangle CDA mzC 90 mzA Determine length of DC to the nearest tenth Determine the length of BA to the nearest tenth 15 59 B

Unit 4 Quiz Review Sketch the solution to each system of inequalities x 3y 6 4x 3y 9

3 5 6 7 8 Options Vertical Ls Alternate Interior Ls Alternate Exterior s Corresponding s Consecutive Interior Ls Consecutive Exterior Ls 7 50 4 8 124 1 3 4 6 answer the following questions 2 1 Name the relationship of the given angles a L1 44 b 42846 C 3 45 d 418 48 e 24 25 f 428 43 g 21 27 h 23847 2 Find the measure of each angle mz1 124 m23 m25 m22 m 4 m 6

4 SAT Question Ratios Rates and Proportions A box at the supermarket can hold 6 oranges each Each orange costs 20 cents Given that the supermarket has a budget of 500 to stock oranges how many boxes will the supermarket be able to completely fill

1 As shown in the diagram below a plane is heading directly toward a tree The plane is 2 miles high in the air At first sighting point C the angle of depression from the plane to the tree was At the same time the angle of elevation from a man point D to the plane was To the nearest mile determine and state how far the man stands from the tree point D to point C A 2 miles B 15 45 lok A

Find the value of x x 143 139 2x 152 116 125 140

3 In right triangle above Determine the length of to the nearest tenth of a foot A

Conditional Probability An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles Two marbles are randomly drawn without replacement P 2nd draw blue 1 draw red 15 3 10 B

A customer purchased a fish aquarium shown at the right The dimensions are 60 2 cm by 26 2 cm by 28 9 cm The store clerk suggests that each small fish will need at least 3785 cubic centimeters of water space in which to live Approximately how many fish could he put in this aquarium 8 fish 12 fish 16 fish 24 fish 60 2 cm 28 9 cm 26 2 cm

Continuous Probability A person was driving their car on an interstate highway and a rock was kicked up and cracked their windshield on the passenger side The driver wondered if the rock was equally likely to strike any where on the windshield what the probability was that it would have cracked the windshield in his line of site on the windshield Determine this probability provided that the windshield is a rectangle with the dimensions 28 inches by 54 inches and his line of site through the windshield is a rectangle with the dimensions 30 inches by 24 inches 0 139 0 373 0 423 0 476 28 in 1 96 54 in 30 in 24 ir

Consider the following VENN Diagram How many would be in the set AB i e The complement of the intersection of A and B 3 6 10 B A COD 5 16 3

Which equation below would be perpendicular to the line shown in the graph below 654 3 2 1 7 Ox x 1 5 Oy x 6 3 y 3 2 2 5 3 2 1 21 31 sto 9 1 2 3 4 5 6

4 Bill on the ground looks up to the top of a building at an angle of elevation of Ana on the ground looks up to the top of the building at an angle of elevation of If the height of the building is determine the distance in feet between Bill and Ana to the nearest foot Bill 400 Ana 50 feet STRETCH IT What is the length of the distance from Ana to the top of the building to the nearest tenth

The quadrilateral KLMN is a square Given two of the vertices are M 0 0 N 0 determine the coordinates of the point K K 0 c K c c K c 0 K C 2 0 2 M 0 0 N C 0

Which geometric solids could be used to describe the approximate shape of the silo cone and prism cone and hemisphere cylinder and prism cylinder and hemisphere

Question What is the y intercept of the line described by the equation 8x 3 O O 6

Q Which equation below would be parallel to the line y Oy x 6 Or x 9 Or x 5 y x 5 wit

Question 4 Multiple Choice Worth 4 points 01 02 MC Ben uses a compass and a straightedge to construct A D

Lessons Assessments Question 15 Multiple Choice Worth 4 points 01 07 MC E B G D G F Gradebo Fill in the missing statement and reason in the proof of the corresponding angles It is given that AR is parallel to CD and points E G H and F are collinear The

Question 13 Multiple Choice Worth 4 points 01 07 LC 70 B E 30 C D What angle relationship describes angles BCE and CED

Question 14 Multiple Choice Worth 4 points 01 06 MC E Solve for x Ox 6 LEO 4x A 2x F B

What is the inverse of the following conditional statement If a number is divisible by ten then the last digit is zero If the last digit in a number is not zero then the number is not divisible by ten If a number is divisible by ten then the last digit is zero If the last digit in a number is zero then the number is divisible by ten If a number is not divisible by ten then the last digit in the number is not zero

Question 7 Multiple Choice W 01 05 LC Which is a counterexample of the

Question 5 Write an equation any form for the quad 5 4 3 2 5 4 3 2 12 2 3 TO Answered A 2 4 5

What is the approximate sector area of a sector created by circle with a radius of 5 m AX and a central angle that measures 9 Figure may not be drawn to scale 6 98 cm 16 31 cm 17 45 cm 172 26 cm rady A B AH 5 m C

points Given 2BC 72 and that line BD is tangent to the circle determine the measure of the major arc You may assume that point A is the center of the circle 1080 210 2880 144 B 72 F C E Figure may not be drawn to scale

Question 7 2 points Based on the measures provided in the diagram determine the measure of BC You may assume that point A is the center of the circle 25 50 100 D 50 B 0 Figure may not be drawn to scale

Convert the angle measure 120 to a radian measure 5 2x 3 5 6 3x rads rads rads rado

Question 8 2 points Based on the measures provided in the diagram determine the measure of the angle e You may assume that point A is the center of the circle and that DC is a diameter 40 45 50 100 D 4 8 O B 80 Figure may not be drawn to scale

Questio What would be the most correct description of the segment AB in relation to the circle shown with center O Radius Diameter Chord A Q B

14 m A 10 C the inverse How would you find the value of the angle denoted by Apply the inverse sine Apply the Pythagorean Apply the invers

34 39 Tangent Which of he following functions help solve to find the angle cosine Sine

What is the value of x A 3 B 9 C 15 D 30 5 X X 6 3

45 27 5 5 36 27 Find the ratio for sinA Reduce the fraction 36 45 3 4

43 22 Cosine X Which function would help you find x sine 2 Tana

10What is BD A 2 5 B 4 5 8 D 10 4 A4 D 16 C B

Given ASTU and ADEF what is m U 15 29 20 T 10 E U 6 zoom in F 8 D 4

6 Given APQR AXYZ which be true Select all that apply QR YZ 1 m R mzz PQ PR A XY B mzP mzX mzQ mzY

Determine if the following statements are true or false based on the definitions of the functions f x x and t x The graph of t x is a reflection of the graph of f x over the y axis The graph of t x is a translation of the graph of f x up by 2 units The graph of t x is a translation of the graph of f x left by 2 units t x has a vertical asymptote at x 1 x 2

A 06 O 12 09 O15 D 4x 9 15 B C Figure 2 Using Figure 2 above calculate the numeric value of x

OB Figure 1 Using Figure 1 name the segment that represents the Tangent AO O AB 12 O AC 8

5 Find the measure of angle one in each triangle Explain your reasoillg 35 M 1 65 35 180 m4l 100 180 106 100 M41 80 33 1 57 40 1 30

1 Find the measure of the missing angle Show all work for credit 65 V 57 2 Find the measure of the missing angle Show all work for credit 40 7 3 Find the value of x Show all work for credit 55 x 59 84 x 74 54 4 Find the measure of angle A Show all work for credit W x 51 5 Find the measure of angle A Show all work for credit

For 1 3 use the Exterior Angles Theorem to find the value of the variable Show all work for credit 1 2 3 61 79 30 70 65 Find the m JKM Find m J 6x 1 39 60 2x 5 126 FG 5x 17 M 4

7 In right triangle ABC mzC 90 If Sin A determine cos A cos B and si

8 In right triangle ACE mzC 90 and Tan A Determine the following trig ratios sin A E tan A tan E cos A cos E

6 In right AJKL above determine the m2J and m2K to the nearest tenth of a degl 22