2D Geometry Questions and Answers

4 ARST AXYZ with RS 4 inches and XY 5 inches If the area of ARST is 64 square Enches what is the area of AXYZ in square inches

Use the given information to fill in the number of elements for each region in the Venn diagram A U B 32 n An B 8 n A 30 and AUB 61 Y 6 L the number of elements in region x is the number of elements in region y is the number of is and the number of elements in region w is Type whole numbers

E F H Circle E has a radius of 5 5 meters FG is a chord and HE is a perpendicular bisector FG If FG 6 5 meters calculate the distance of EH

Write an equation for the function graphed below Use y for your output variable 44 Q

A new dog park is being designed by a city planner The park is enclosed by a fence and shaped like a parallelogram What is the area and perimeter of the dog park Round your answers to the nearest hundredth if necessary

the fourth one on the positive x axis Find A A X B A 2 C A 3 D A 7 Graph calculator and find the max area and the x value width that gives that maximum axis and

Find an equation in standard form for the hyperbola that satisfies the given conditions Transverse axis endpoints 3 4 and 3 2 conjugate axis length 4

20 Identify the coordinates of the center the vertices foci and the equation of the asymptotes Graph the Hyperbola x 1 9 y 2 16 1

A shipment contains 10 igneous 8 sedimentary and 8 metamorphic rocks If probability that exactly 3 are sedimentary The probability that exactly 3 of the rocks are sedimentary is Round to four decimal places as needed

2 A A 5 A 31 8 A 69 9 A Question 10 1 point Retake question K If LM 5 and KL 14 find the length of MN Round your answer to one decimal place Your Answer 2009 A WAARO

Find the area of the region inside of the cardioid r 4 4cose and outside of the circle r x 2 1 2 0 0 6 0

Question 25 9 2 30 GI Part 2 of 3 points Points 0 of 1 many years a state used 3 letters followed by 2 digits on its automobile license plates Complete ugh c below How many different license plates are possible with this arrangement 58x10 e scientific notation Use the multiplication symbol in the math palette as needed Round to three weeded When the state ran out of new numbers the order was reversed to 2 digits followed by 3 letters He se plate numbers were then possible 7600 e scientific notation Use the multiplication symbol in the math palette as needed Round to three weeded

Complete the transformations below Then enter the final coordinates of the figure A 3 1 B 1 2 C 1 1 1 2 1 2 Dilate k 3 B C B Hint The x value of A is 3 To find the x value of A first add 2 to this value step 1 and then multiply by 3 step 2

Part 1 of 2 O many ways can 6 tiles be selected from 22 tiles vays e a whole number Points 0 of 1 anufacturing company performs a quality control analysis on the ceramic tile it p has 8 defective tiles If 6 tiles are sampled at random what is the probability tha ctive

Directions Find each measure using the information given 4 P is the incenter of AJKL J M 8 B L P 13 F 5 G is the incenter of AABC 6 BA G O 37 D 35 17 R K 6 If S is the incenter of APOR m PRO 8x 10 m RPQ 4x 14 and m POR 7x 5 find each measure a NP b NK c PK d LO a GD b BG c FC d BF a m PRQ b m RPQ c m POR d m RPS e m POS f m PRS g m PSR

A B sin 90 0 sin50 B cos32 sin 90 0 A cos 50 cos 40 sin32

Find two solutions of the equation Give your answers in degrees 0 0 360 and radians 0 0 2 Do not use a calculator Do not enter your answers with degree symbols a tan 0 1 Degrees b sec 8 Degrees Radians 2 3 3 x smaller values larger values Radians smaller values larger values

8 The graph of y x2 9 is shown below 10 10

A B C Lines I and mare parallel lines cut by the transversal line t Which THREE angles are congruent to 25 D 41 24 22 26 5 6 7 8 2 3 4 m

2 Name 1 Use a protractor to measure the angles and then record label name the measurements 1 2 3 4 1 V 2 3 4 b Date d 1 2 3 4 1 N 2 3 4

Which lines must be parallel A B C D E r and s q and s p and g cannot be determined p and r E s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Given 22 24

Given segment AB segment DE C is the midpoint of segment DB Prove LAB AEDC Fill in the missing statement for the proof A B C ZA ZE 20 ZE 2B ZE Proof AABC LEDE Statements segment AB segment DE given C is the midpoint of DB given segment DC segment BC definition of midpoint 2B 2D Reasons alternate interior angles of lines are a alternate interior angles of lines are AAS Theorem

SWYK Graphing Trig Functions Sin Cos Tan Directions Identify the amplitude and period then graph the function 1 f x 2 cos x 5 2 f x sin 2x 2 Amplitude Amplitude 7 f x 2 Amplitude 2 9 f x 2tanx Amplitude Period Period Period 8 f x sin 4x 1 2 5 Amplitude 10 f x 3tan x Amplitude 28 Period Period Period C

Find the degree of this polynomial 8s8 355 10s 6s 7s 1

Find the degree of this polynomial 2n 2n

Find the degree of this polynomial 3m 2m 7

4 6 03 Review In parallelogram DFGH determine x y and the number of degrees in all four angles F 2y D 2x 11 G x 5 H

9 Given A 2 1 B 6 3 C 8 1 D 4 2 and E 5 1 shown below prove that AABC AADE 4 points 0 1 B 9 Hints How can you prove triangles to be similar Slope of DE Slope of BC What do these slopes tell you about the lines DE nad BC Once you know this what does this tell us about the angles in the triangles Look for a similar picture in the notes

10 APQR is similar to AXYZ What is the perimeter of AXYZ P 10 Show work R 30 Z

Use the figure below for questions 2 3 1 point each A 7 6 5 4 3 2 1 54 4 2 SHOW WORK 3N 3 24 11 TOAN MAS 2 Determine the scale factor of a dilation that maps Circle A onto a circle congruent to Circle B O 2 3 4 5 6 7 8 9 10 X 3 Determine the scale factor of a dilation that maps Circle C onto a circle congruent to Circle A 3 SHOW WORK

10 points C B 52 108 148 What is the measure of CED 106 212 D 160 E

11 Two similar figures have a side ratio of 3 4 The area of the larger figure is 100 square units What is the area of the smaller figure Show work

10 points Solve for X F 6 0 11 1 16x 6 H G

2 10 points AT F B A GH B AB C CD D EF In circle D which is tangent to the circle A B G C D E H C

Question 1 1 point M N Your Answer O Answer P MQN is 49 and arc OP is 128 What is the measure of arc MPO k

The Wilsons want to put outdoor carpet on their porch 12 ft 12 ft How much Porch 6 ft 6 ft 6 ft

Given CD AB Prove ACED ABEA 1 CD AB Statement A 1 Given E Reason O

1 Given DE CG Prove ADEF AGCF bns c 2 quiansk p F D

5 Given BC AD Prove ABEC ADEA B

2 Consider the piecewise linear function given by the formula x 2 3x 1 x 1 x 2 1 x 3 Determine the function s domain and range Draw a graph of the function to fully justify your answer Use tables on your calculator to help graph

13 A ramp is used to load suitcases on an airplane If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25 how long is the ramp

There is a line through the origin that divides the region bounded by the parabola y 8x 4x and the x axis into two regions with equal area What is the slope of that line

For any rectangle which of the following are true select all that apply A Consecutive angles are congruent B All angles are congruent c Opposites sides are congruent D Adjacent sides are perpendicular E All angles are right angles F Diagonals bisect each other G All interior angles add up to 180 degrees H Diagonals are congruent Adjacent sides are congruent J All sides are congruent K Opposite sides are parallel

QUID Question 3 10 8 6 4 a 36 21 b 12 Co 8 4 4 Co 12 y Identify a and b for the hyperbola with equation X 4 6 8 10 22 2 1

12 N In the following triangle what is the length of the hypotenuse 45 Hypotenuse 3 2

For a 30 60 90 triangle match the following definitions with the correct term Short Leg Long Leg Hypotenuse DRAG DROP THE ANSWER Side across from the 60 degree angle Side across from the 90 degree angle Side across from the 30 degree angle

11 A 30 60 90 triangle is shown below Find the value of x y X 30 X 10 60

Find the values of x and y Drag and drop the correct values into the boxes DRAG DROP THE ANSWER 4 6 2 3 2 8 12 2 6 3 2 45 X y

Find the values of x and y Drag and drop the answers into the boxes DRAG DROP THE ANSWER 1 3 2 2 4 2 4 2 6 2 3 2 2 71 2 60 X y X y 30

Use the graph of f x x to write an equation for the function represented by each graph a y 3 2 7 y 5 1 2 3 X