2D Geometry Questions and Answers

Pole Road 15 A straight inclined road makes an angle of 15 with the horizontal A vertical pole at the side of the road casts a shadow a feet long directly down the road From the point where the shadow ends the angle of elevation of the sun from the horizontalis 57 roximate the length of the pole in ft if a 175

which condition would DEF is congruent to JKL 12 prove G E 8 A EF KL 1 5 1 B DE JK 1 1 5 OC DF JL 1 5 1 D DF JL 1 15 L F

Complete this proof Given ABCD 21 22 Prove ABCD is a rhombus 17 Proof 1 Statements 2 LABC LADC 3 ACAC 4 5 AB AD CD CB 6 7 AB CB CD AD 1 2 D 8 2 Reasons C B 3 4 AAS Postulate P 17 5 6 The opposite sides of aare T 32 C 7

In circle T the length of UV ZUTV 11 9 110 Find the area shaded V below Express your answer as a fraction times T T and m U

Write an equation for the following conic If it is a parabola it has a vertex at the origin and if it is an ellipse or a hyperbola it is centered at the origin vertex at 3 0 and e 5 What is the shape of this conic A a hyperbola B a parabola C an ellipse KEER What is the equation for this conic x 9 Type an equation in standard form using x and y as the variables Use integers or simplified fractions for any numbers in the equation

In circle V VW shaded sector X 8 and the area of 167 Find the length of WY X Express your answer as a fraction times T W V Y

10 07 SWBAT solve for missing 1 In the circle shown LL 8x 40 m2M 12y 24 meN x 50 and m20 6y YOU DO ROUND 1 a Determine x and y b Determine mLMN M id How do you know

C Congruent d Supplementary 6 In the circle above mzQ 3x mzU 2x 12 mLA 2x and m2D 2y Determine a mQDA U A

7 Find the component of u along v Use the formula 3 2 v 4 1 U V V 5 points

What is the image point of 0 1 after the transformation D50 R270

4 In the diagram below what is mA 132 A B O D 82

In circle S with m RST 102 and RS 6 units find the length of arc RT Round to the nearest hundredth 2 R S 1 T

3 In the diagram below what is mEDG DK86 G E F

What is the image point of 5 8 after the transformation T 4 40 D5

2 In the circle shown determine the a mFGH b mFAH G 21 x 2 F 38x 5 A

You spin the spinner once 6 5 3 4 What is P prime Write your answer as a percentage

10 Graph y 2 3 from Ol y 20 0 15 10 5 0 5

In circle G with m FGH 60 and FG 19 units find the length of arc FH Round to the nearest hundredth H G F

1 3 Puzzle Time Why Did The Fraction Jump Into Boil Write the letter of each answer in the box containing the exercis The endpoints of AB are given Find the coordinates of the midpoint M 1 A 1 3 B 7 1 2 4 4 B 3 4 3 A 4 6 2 2 B 2 4 2 4 4 7 10 B 5 8 46 15 10 3 2010 16 15 10 B 1515

Explain when you can use a trigonometric rati Pythagorean Theorem You can use a trigonometric ratio to find as

STION 5 rmine whether the tests for symm e polar axis Replace r 0 by r T e line 0 Replace r e by r T he pole Replace r 0 by r 0

Clara s father has a large collection of ties The table shows how many ties he has of each color and pattern plaid blue 6 2 purple 16 green 3 If Clara s father chose a tie at random what is the probability that the tie would be plaid Write your answer as a fraction or whole number P plaid

Kendall is decorating her bedroom There are 5 shades of paint and 7 styles of furniture to choose from How many different ways can Kendall customize her dorm room ways

QUESTION 25 Solve the triangles for the unknown sides an necessary B 28 1 C 45 a 2 3 OA 48 7 b 19 3 c 6 9

QUESTION 18 Graph the polar equation r 4cos 0 442 11 12

You spin the spinner once 6 7 5 8 4 2 3 What is P not 4 Write your answer as a fraction or whole numbe

Next O 1 Equation of a Circl Select the correct answer

12 The figure shows parallelogram PQRS on a coordinate plane Diagonals SQ and PR intersect at point T y P 2b 2c S 0 0 T R 2a 0 Part A Find the coordinates of point Q in terms of a b and c Enter your answer in the box provided Enter only your answer Q

The barista at The Sweet Slice Cafe kept track of how many customers ordered each type of drink yesterday hot chocolates 50 iced teas 12 13 3 espressos Americanos What is the probability that a randomly selected customer ordered an iced tea Write your answer as a fraction or whole number Riced ton

use the alf angle identities to find the exact value of the trigonometric expressions cos 75 degree use please the cos half angle formula cot 7pi 8 use the cot half angle formula

find each trigonomertic function value in exact form tan pi 12 sec 11pi 12

Find the area of the triangle having the following vertices A 2 3 0 B 0 1 1 C 3 1 4 Express your answers rounded to two decimal places 5 m

You roll a 6 sided die What is P even Write your answer as a percentage

Students in the high school choir sing one of four voice parts tenors 2 sopranos 9 altos 20 basses 14 What is the probability that a randomly selected singer will be a soprano Write your answer as a fraction or whole number

Martina s elementary school principal wants to hire some new teachers 8 teachers applied for one 1st grade teaching job and 3 teachers applied for one 2nd grade teaching job How many different ways can Martina s principal hire new teachers ways

Bryant is deciding what to wear to school today There are 10 tops to choose from and different pants How many different outfits can Bryant create outfits

Scarlett is ordering a single topping pizza to share with friends There are 5 toppings to choose from and 3 crust choices For the cheese Scarlett can choose one of the 3 options How many different pizzas can Scarlett order pizzas

14 Suppose that T is the midpoint of XZ If XT 2y 11 and TZ 5y 8 find the value of y and the length of XZ X T Z y XZ

1 Plot the following points in a single 3D space with guiding lines 1 0 2 3 4 3 0 2 0 1 2 0 4pts

x 135 23 62 Sines Maze Directions Find each missing side or angle Round all answers to the nearest tenth Use your solutions to navigate through the maze Staple all work to this paper Startl 52 35 7 21 7 32 67 29 34 1 85 23 6 End 32 4 18 22 1 16 2 12 3 36 3 38 64 8 X 24 9 15 76 18 93 11 7 126 57 34 59 19 15 73 3 25 1 10 5 12 8 15 9 21 45 2 75 9 17 61 5 X 33 48 67 6 6 108 14 2 17 74 x 72 4 32 71 3 79 12 65 1 35 16 7 15 6 41 5 71 43 9 50 61 25 8 65 68 1 40 14 X 42 16 2 78 25 29 2 112 49 23 Gina Wilson All Things Algebra 20

Question 10 Give the equation of the function gra 2 41 3 2 1 2

1 Fill in the equation for this function y cos x E

Bobby is putting together an art kit There are 3 sets of chalk and 3 sets of watercolors to choose from For the set of oil pastels Bobby has 3 options Lastly there are 2 possibilities for the set of pencils How many different art kits can Bobby set up art kits

2 The length of the diameter of OM is 76 cm and the length of the diameter of QJ is 64 cm If the length of JK is 12 cm what is the length of LM cm

Zoe is in a ski rental shop trying to decide which equipment to rent for the day The shop offers 5 kinds of skis and 4 kinds of poles A helmet is always a good idea and the shop has 3 different helmets available How many different sets of ski equipment can Zoe rent

Krysta builds custom made bicycles The frames come in 9 sizes and 8 colors How many different bicycles is it possible for Krysta to build bicycler

A real estate agent is advertising a house in the newspaper The house has 2 rooms and she took 3 pictures of each room but the ad will only include a single picture There are 7 local newspapers but she only wants to place an ad in one newspaper How many different ways can the house be advertised ways

Katy is building a set of reference materials for her office She can choose from 8 dictionaries and 4 thesauruses Assuming she wants only one of each type of book how many different sets of reference materials can Katy put together sets

You flip a coin What is P heads or tails Write your answer as a percentage

2 Find the value of x 3 4 Find JK 4x X 12 X K M