2D Geometry Questions and Answers

3 Sketch both quadratic functions on the graph provided below f x x 4 1 g x 2 x 3 2 ty X

Solid Geometry Question 4 What is the best approximation of the volume in cubic units of a pyramid of height 4 and a square base of length 6 Select one O24 O 144 O 48 O 32

1 As you ride the Ferris wheel your distance from the ground varies with time in a sinusoidal wa You are loaded in the last seat before the ride begins You are loaded several feet to the right on the base on a platform that is off the ground see the arrow It takes you 3 seconds to reach the top 43 feet above the ground and the wheel makes a revolution every 8 seconds The diamet of the wheel is 40 feet What are some key points input elapsed time t distance from the ground d Sketch the graph

Find the height of the aquarium if the volume is to be 12 ft 3

Find the area of the shaded region of circle F below Round your answer to the nearest tenth if necessary Answer units

If mMG 118 and m J 40 find m IS M C s

H Justified List 38 G GPE 5 prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems e g find the equation of a line parallel or perpendicular to a given line that passes through a given point Determine whether the equation is parallel perpendicular or neither to 2x 5y 10 Statement y 3x 5 y x 5 y 2 x 1 y 2 x 1 20x 8y 16 Circle your choice parallel perpendicular neither parallel perpendicular neither parallel perpendicular neither parallel perpendicular neither parallel perpendicular neither parallel perpendicular neither parallel perpendicular neither WHY I WE THINK SO

Four band members Harry Isabel Jose and Karen are all boarding a bus to attend a concert In each arrangement below the first initial of each person s name represents th person s position as he or she boards the bus first second third and fourth If we know that Karen boards the bus first which shows the possible outcomes for this event KHIJ KHIJ KHJI KHIJ KHJI KJHI KJIH KHIKH ILKIHIKIH KIHIKUH

Find RU in rectangle RSTU U W 5 R BIL S 8w

Which rule explains why these triangles are congruent S P SAS ASA Q U T AAS These triangles cannot be S

If SV b and UV 2b 58 find the value of b that makes quadrilateral RSTU a parallelogram U b R T S

SOL 50 Tipe Angles general Multiple Choice Nim ice that but comp A design made with parallel lines is sewn on a pocket of a shirt as shown What is the value of x A80 s 100 130 A gardener rested his boe against a shed The be made a 30 angle with the ground

4x What is the volume of a right rectangular prism with a base that measures 4 in by 6 in and a height of 7 in A 4x B 168 in D 17 in C 51m 7 In 84 in 6 in 4 in

x A suburban city has a population o A about 4

1 5 Tranformations The graph of f x below R B 2 2 2 2 is shown in black K Match each transformation of this function with a graph Q a blue B b green G c red R Question Help Video Post to forum

1 5 Tranformations The original function is f z x 1 The transformation is function is g z 2 5 Select the appropriate movement response and then enter the amount of movement in the answerbox There is no horizontal shifting The is no vertical shifting The graph is shifted right The graph is shifted up O The graph is shifted left O The graph is shifted down Question Help D Post to forum units O The graph is a reflection across the x axis The graph is NOT a reflection across the x axis Submit All Parts units units units

n equation for the graph shown to the ri

The following function is one to one Find the in inverse on the same set of axes

The graph shown is a transformation of the toolkit function f x x Find a formula for this new function g x g x 2 Question Help Post to forum

Given the toolkit function f x x shown below graph g x f x Use two points on g x that have been transformed from f x 5 4 3 2 1 5 Clear All Draw 4 3 2 1 1 4 3 2 1 2 3 4 5 4 3 Now graph h x f x Do you notice anything surprising a 1 1 2 3 4 5 2 3 1 2 4 5 4 5 K

T 2 4 6 8 7 f x 1 T Solution 3 Show solution The formula g x f x 3 tells us that we can find the output values of the g function by subtracting 3 from the output values of the f function For example f 2 1 is found from the given table g x f x 3 is our given transformation g 2 f 2 3 1 3 2 Subtracting 3 from each f z value we can complete a table of values for g x 2 46 8 g x 2 0 48 t With a vertical shift notice that the input values stay the same and only the output values change Exercise 1 5 1 The function h t 4 9t 30t gives the height h of a ball in meters thrown upwards from the ground after t seconds Suppose the ball was instead thrown from the top of a 10 meter building Find a formula for b t

The graph shown below is a transformation h x of the toolkit function f x x Write a formula 5 4 3 2 1 h x h x 5 3 2 1 2 3 or co 4 1 2 3

Point A is at 4 9 and point B is at 4 6 If point M 1 t A tB 4 4 5 what is the value of t

nd the missing measures 23 23 LN 46 M N OM PN 23 ON MN

CD is an altitude to the hypotenuse AD 16 units and AC 20 units Find the CD

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

O is the center of the regular dodecagon below Find its area Round to the nearest tenth if necessary Answer 11 O J

Watch help video Which transformation would take Figure A to Figure B 10 9 8 7 6 5 4 3 2 1 y 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 1 2 B 3 4 5 6 7 A 8 9 10 X O A reflection over the y axis O A clockwise rotation of 90 about the origi O A clockwise rotation of 270 about the orig

Figure R is the result of a transformation on Figure Q Which transformation would accomplish this y 7 6 Figure R 5 X 2 1 7 6 5 4 3 2 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 A translation 2 units to the right O A reflection over the x axis O A reflection over the y axis Figure Q A rotation 180 counterclockwise about the origin

What is the image of the point 0 1 after a rotation of 180 counterclockwise about the origin

3 1 6 H 9 1 Question 7 1 point Given m CD 92 and mEF 42 det measure of the angle LDBC

3 6 9 1 12 Question 6 1 point Based on the measures provided in the diagram determine the measure of AEG You may assume that point C is the center of the circle and tha and BF are diameters Figure may not be drawn to scale

L 2 1 5 1 8 00 1 3 10 6 9 1 11 12 Question 9 1 point A B If m D 68 and m

Consider the following sets U ordered pairs on a coordinate plane A ordered pair solutions to y x B ordered pair solutions to y 2x Which ordered pair satisfies A n B 0 0 1 1 1 2 2 1 O O

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store where C represents customers who have purchased cats represents customers who have purchased dogs and F represents customers who have purchased fish U OOO0 14 4 15 6 36 2 3 1 12 F 0 How many people are in the set Cn F 3 D 21

In the Venn diagram consider U students in 10th grade at Lee High School The diagram shows the electives chosen by the students in the 10th grade U DOO Chorus 17 7 16 3 2 9 Theater Painting 8 How many students chose to participate in the painting class 8 11 14 4

In the Venn diagram consider U whole numbers 1 100 Let A represent numbers that are perfect squares B represent numbers that are perfect cubes and C represent numbers that are perfect fourths or numbers with a fourth r that is an integer U A B Which number s satisfy An C 16 81 1 16 81 1 4 9 16 25 36 49 81 100 1 4 9 16 25 36 49 64 81 100

Which angles are alternate interior angles L 0 K M CORM and P RA ZLMK and QPR LORD N Q ZLMP and QPM

What values of b and c make ARST AYXW T b 11 R 5b 24 3c 7 S X 20 24 Y 8b

Find mZG in rhombus FGHI I V m G H F 2v 50 G

If FJ 10u 53 and HJ 8u 33 find FJ in rhombus FGHI G F J H I

What values of s and t make AUV U V 8s 28 3t W E t 18 C AEDC 6s D

Which angles are supplementary angles B E H F C A ZGFH and ZEFC ZDCA and BCA D G ZDCA and ZGFC ZEFH and BCF

Find FG in rectangle EFGH E V F H 7v 96 G

Find mZZ in rhombus WXYZ W X t 3t 36 N Y

Which angles are adjacent angles H LL F E DGE G B D DGE C A DCA an

15 Question 15 15 O S In a high school of 1250 stude selected Spanish student is a A 0 120 B 0 170 0 200

12 You find a deck of cards and know tha Suppose you draw two cards without A 5 B 3 O

heads is What is the probability that the num 2 13 7 A B 2 13 1 1 26

2 Gu The tree diagram shows Pam s choices for her appetizer