2D Geometry Questions and Answers

Write an equation for a quadratic function that has been reflected in the x axis compressed horizontally by a factor of and shifted up 8 units Of z Of z 8 52 08 2 2 5 Of z 8 5 x

Determine the perimeter and area of the shape shown below 2 ft Perimeter Area 2 ft feet square feet 8 ft 6 3 ft Round your answer to the nearest hundredth as needed

D 5 7 E 4 3 and R8 2 form the vertices of a triangle What is mz DEF A 30 O A B 45 O C D 60 90

Point O is the center of this circle What is m B A 56 B D 56 62 OC 72 C A

Q 2 10 p Answer each of the following a A matrix polynom is given by P x x By considering the 2 by 2 matrix as A SA find P A b For a given matrix A 2 calculate A where k is any integer

The curved parts of the figure are arcs centered at points A and C What is the approximate length of boundary ABCD Use the value and round the answer to one decimal place A B O 5 120 A 17 8 B 23 8 O C 23 1 D 28 1 30 C

Select the correct answer from each drop down menu Given that XBDC 29 BAC and BOC B A

This figure shows the nose cone of a rocket used for launching satellites The nose cone houses the satellite until the satellite is placed in orbit What is the volume of the nose cone 6 feet OA 45 cubic feet OB 60 cubic feet OC 90 cubic feet D 180 cubic feet 15 feet

Type the correct answer in each box In this figure sin QOP cos L O R and cos ROQ sin 0

A 6 meter pole is supported by guy wires that are anchored to the ground as shown What is sin D D ground OA B OC 6 71 m guy wire D 3 6 71 6 71 6 36 C 6 6 m pole 90 A 6 71 m guy wire 3 m B

Isosceles triangle KLM is shown below Give the coordinates of K L 0 0 M s t K KOD

Rhombus RSTU is shown below Give the coordinates of U and T s 1 0 R 0 g U T UD TD

cosceles triangle EFG is shown below Give the coordinates of G F 0 q K E p 0 G GOD

Question 4 Find the corresponding angles in A ABC and A CDE A Points D C B E O ZACB and ZCDE ZCBA and ZECD ZBAC and ZCED ZACB and ZCED ZBCA and ZECD ZBAC and ZCDE ZABC and ZCDE ZBCA and ZECD ZBAC and ZCED O ZABC and ZCED ZBCA and ZECD BAC and CD

gures then the two figures are sponding angles are congruent and corresponding sides are in proportion in two congruent figures O similar figures solid figures O plane figures you want to do o s com

ourse Po Question 42 Points 1 are a pair of angles on the inner side of each of those two line but on opposite sides of the transversal O Parallel lines O Alternate Interior Angles O Congruent O Transformation Complete Later Complete

Question 36 The figure B is dilated from the figure A Find the scale factor 12 O 2 4 12 Points 2 10 Figure A 3 2 5 Figure B

The coordinates of the rectangle are 2 2 2 2 2 2 and 2 2 If the rectangle is compressed by 1 then which of the following is true Coordinates of the rectangle gets changed Coordinates of the rectangle gets inversed Coordinates of the rectangle remains same O Coordinates of the rectangle changes in sign

Grade Results My Activities 000 000 If DE BC What is the measure of AED B D 74 A 39 OLAED 67 LAED 45 OLAED 87 LAED 27 E C Tell m

Question 40 Two triangles are similar If the sum of the measures of two angles in a triangle is 125 what is the corresponding sum of the measures of the angles in the other triangle OOO 55 35 115 Points 1 125 Complete Later Complete

Question 44 Find the relationship between the given two triangles B 12 A Points 2 13 72 F 5 CE 30 Similar right triangles Equilatoral Congruent triangles 78 G

Question 15 The figure ABCD is translated 5 units left and then rotated about the origin in clockwise direction through 90 It is then reflected across the y axis Identify the coordinates of the vertices of the transformed figure 4 0 Y Points 3 D A 2 C B A 1 3 B 1 1 C 3 2 and D 3 4 A 1 3 B 1 1 C 3 2 and D 3 4 A 3 1 B 1 1 C 3 2 and D 4 3 A 1 3 B 1 1 C 3 2 and D 3 4

Question 31 Points 2 What is the third step in the construction of congruent line segment to the given line segment AB Set the compass to the length of the original line segment Without changing the compass setting place the pointed end of the compass on C O Draw a ray with endpoint X Draw an arc that intersects the ray Label the point of intersection as D

What is the area in square centimeters of the rectangle 6 and 3 1 3

Question 29 Points 1 Which property is represented in the following parallelogram O Opposite angles of a parallelogram are congruent O Consecutive angles of a parallelogram are supplementary O Opposite sides of a parallelogram are congruent Diagonals of a parallelogram bisect each other

Question 25 In the triangle XYZ LM is the mid segment Find the length of YZ Y Points 2 L 4 9 cm 4 2 cm O 9 8 cm O 5 8 cm 11 8 cm M Z

Question 28 Find the value of k in the parallelogram ABCD D A Points 1 65 Ok 33 75 Ok 30 Ok 25 Ok 45 4k 70 B C

Points 2 Find the length of BC if CD is the perpendicular bisector of angle C in triangle ABC Question 24 3 4x A O 12 O 13 O 15 10 D 5x B

urse Posttest Question 19 If the rectangles are congruent find the length and width of rectangle PQRS 3 in D Points 2 A 7 in O Length 7 in and width 3 in O Length 14 in amd width 9 in O Length 7 in and width 9 in O Length 14 in and width 3 in B S P Questions15 45 Answered 1 9 11 13 15 2 10 12 14 16 17 18 R G

Question 3 Points 3 The black line in the circle represents a an O chord O secant O tangent O radius

Given the information marked on the figures below classify each quadrilateral as a Parallelogram or Not necessarily a parallelogram Note that each figure is drawn like a parallelogram but you should not rely on how the figure is drawn in determining your answers If necessary you may learn what the markings on a figure indicate P B S Parallelogram Not necessarily a parallelogram A R D C Parallelogram Not necessarily a parallelogram S R X Parallelogram O Not necessarily a parallelogram V U T Y W Parallelogram Not necessarily a parallelogram

Tracy s longest ladder is 25 feet long and the safety regulation states that she can use it for cleaning out her gutters 24 feet off the ground as long as she keeps the bottom of the ladder 7 feet away the house Based on this information which trigonometric ratio has the value of Select one O a cos B Ob tan C Oc sin 8 Od tan A 18 8 24h 7h 25 ft

The average cost of gas in major cities is as follows The average cost of gas in the US large cities is estimate for the average cost of gas in the US Cost of Gas Chicago 2 069 Connecticut 2 577 Dallas Michigan 2 089 2 111 Los Angeles 2 001 San Francisco 2 139 Indianapolis 1 306 This

A General Social Survey asks questions about one s happiness and health Use the data in the table to make conclusions about ones perspective Time left 2 53 49 Poor Not too Happy 671 945 352 1968 Pretty Happy Very Happy Total Health and Happiness Select one a 16 b 32 O c 57 d 13 Given a person is in fair health what is the probability they pretty happy Fair 1287 3516 1 391 6 194 Find the first 3 terms in the expansion of 1 2x 4 Select one O a 1 8x 24x Ob 1 8x 24x c 1 8x 24x d 1 8x 24x2 Good Excellent Total 1 515 735 4208 1541 5 094 11096 4414 5 094 11251 7470 10923 26555

2 six sided dice one green and one red are released Find the probability that each die shows a score of 5 Select one a 1 18 b 2 6 C 1 36 O d 1 6

An experiment is conducted with chips each labeled with a number Let the S be the sample space S 1 2 3 4 5 6 7 8 9 with events E Choose an odd F Choose a number less than or equal to 4 G Choose a number greater than 5 Assume each outcome is equally likely Find P EUF Write as a decimal rounded to the nearest hundredth Answer Find the total number of different 4 digit numbers using all the digits in the number 4129 Hint you can t repeat digits Select one a 24 b 12 c 18 Od 6

Favorite Candy Bar Kit Kat Children 15 Adults 31 Answer What is the probability that a person buying a KitKat is an adult Express the answer as a decimal to the nearest hundredth Select one a 72 b 78 Butterfinger 12 18 In a ping pong tournament consisting of twelve teams each team plays every other team once How many games are there c 62 49 Od 66

2 six sided dice one colored green and one red are released Find the probability that either the score on the green die is 1 or the score on the red die is 6 but not both Select one a 1 3 Ob 2 9 OC 1 9 d 5 18 Find the total number of different permutations of all the letters of the word SECONDARY Select one a 36 288 b 181 440 c 90 720 d 362 880

The angle bisectors of AEFG are ES FS and GS They meet at a single point S In other words S is the incenter of AEFG Suppose QS 6 FS 13 mZQGR 34 and m PFS 26 Find the following measures Note that the figure is not drawn to scale E P F R S Q G RS m2PFQ m PES 00 X

The angle bisectors of APQR are PZ QZ and RZ They meet at a single point Z In other words Z is the incenter of APQR Suppose WZ 12 PZ 21 mZWPY 42 and mZYRZ 18 Find the following measures Note that the figure is not drawn to scale W Q Y X R mZYRX mZxQZ XZ 00 X 20

Which of the following are reasons used in the proof that the angle bisector construction can be used to bisect any angle Check all that apply A A CPCTC B Any line segment can be extended indefinitely C All of the radii of a circle are congruent D SSS triangle congruence postulate

In circle E the measure of the indicated angle AEC is 243 5 Lines AD and DC are tangent lines The m AEC The measures of angles EAD and ECD are The mzABC A D The m ADC E 4 2435 B C

The triangle circumscribes the circle What is the perimeter of the triangle A 4 cm 5 cm Select one O a 25 cm Ob 24 cm O c 25 5 cm O d 37 5 cm B C 3 5 cm

Find the value of x Round your answer to the nearest tenth 8 5 X Select one a 12 5 O b 9 4 O c 6 2 O d 18 9

Find the value of y 160 A T B C 136

B A 100 m x mCD mAB P Find the value of x Select one O a 34 O b 50 O c 66 O d 32 D 32

SA 4tr What is the surface area of the sphere 10 in Select one O a O b O c O d 100 in 100 in 400 in 500 3 t in

Length of a circular arc Length of AB 2mr Find the length of AB Round your answer to the nearest tenth A 8 in Cougar 100 B Select one O a 55 9 in MAB 360 O b 14 0 in O c 50 3 in Od 20 9 in

V h Find the volume of a cone with diameter 16 cm and height 12 cm Select one O a 100 5 cm O b 3217 0 cm O c 2412 7 cm O d 804 2 cm

Area of a sector A degrees in corresponding arc 360 Find the area of the sector 9 cm Select one 80 a 18 cm O b 9n cm O c 12 cm O d 4 cm