2D Geometry Questions and Answers

m DJF 89x 1 89 1 90 LI ALLER 7 Find m JRL 13a 13 Ilz 1

e coins stacked vertically Both stacks of coins have the same number of the same kind of coins Which has the larger volume the coins stacked vertically or the coins pushed into a zigzag it cannot be determined without more information they have the same the coins pushed into a volume zigzag

GSE Geometry Mikayla Morris Circles All Angles and Arcs Practice 1 pdf Find the measure of the are or central angle indicated Assume that lines which appear to be diameters are actual diameters SHOW YOUR WORK 1 mVU 2 m RPS 3 mFG 22x 95 30x 5 F 13x U 12x 5 G Fr T 4 mIJH P 11 2 S 7x 2 x 122 x 72 R 23x 2

eometry Mikayla Morris Circles Find the measure of the are or angle indicated SHOW YOUR WORK 5 Find m DJF 6 Find m FML 89x 1 89x41 Rase Software LLC All righ 7 Find m JRL 13x 13 E 11x 1 es Practice 1 pdf R 45x 3 34x 65x 2 served Made with Infinite Ge om etsy 15x 8 Find m GTS 21x 2 R 25x 4 G Find the measure of the are or angle indicated Assume that lines which appear tar

6 Directions Rotate the point according to each direction Starting Point 2 3 7 6 5 4 3 2 1 6 5432 1 90 Rotation Clockwise 3 4 5 6 7

rectangle h trapezoid Describe the cross section triangle oval

6 Directions Rotate the point according Starting Point 2 3 7 6 5 90 Rota

Solve the system of equations graphically If pair as a solution state whether the system

A cylinder is cut parallel to the base What is the shape of the cross section formed Circle Trapezoid Triangle Rectangle

Right Oblique 1 e Right cylinder on the left The solids shown have the same height and the same Base area Which has the larger volume the Oblique cylinder on the right 2 they have the same volume 3 it cannot be determined without more information 4

Find the volume of this rectangular pyramid Be sure to include the correct unit in your answer f necessary refer to the list of geometry formulas 3 cm 5 cm 3 cm 11 8 08 cm X cm cm

What does perpendicular mean Creates a 90 degree angle Creates a 180 degree angle

Directions match the diagrams with the correct rotations A UT N DRAG DROP THE ANSWER 90 counterclockwise about the origin 90 clockwise about the origin 180 about the origin

Graph the equation using the slope and y i y x 6

B Which of the following shows a 90 counterclockwise rotation of the blue figure D

7 The point K 6 3 is rotated 180 clockwise around the origin What are the coordinates of the resulting point K 6 3 6 3 3 6

Translations reflections and rotations are all known as Transformations Shapes Pythagorean Theorem

The point V 3 5 is rotated 270 clockwise around the origin Find the coordinates of the resulting point V DRAG DROP THE ANSWER 5 3 5 3 5 3 0 V

The graph of fis given below Use the graph to determine the following ite The x values if any where f has a relative maximum The value s if any of the relative maximum s of f The x values if any where f has a relative minimum The value s if any of the relative minimum s of f 10 9 8 7 6 5 4 3 10 987 7 6 5 a 3 Phy S 6 34 in S 8 9 10

Decide whether the given ratios could be used to find missing side not matter D 5

B Given ZC ZB and ZBDA is a right angle are the two triangles ABDA A yes by SAS criterion

X Given that APQR is similar to APTS which statement MUST be true x A m SPT m PTS B m2PRQ m PTS S C m2PST mzPQR TO

Find the area of this trapezoid Be sure to include the correct unit in your answer If necessary refer to the list of geometry formulas 14 m 6 m 0

A SSS Similarity Theorem What theorem can be used to prove that the two triangles are similar C AA Similarity Theorem SAS Similarity Theorem 3 SSA Similarity Theorem A 1 5 D 6 3 F B

A flower garden is shaped like a circle Its radius is 20 yd A ring shaped path goes around the garden Its outer edge is a circle with radius 25 yd 20 yd 25 yd The gardener is going to cover the path with sand If one bag of sand can cover 5 yd how many bags of sand does the gardener need Note that sand comes only by the bag so the number of bags must be a whole number If necessary refer to the list of geometry formulas bags of sand 3

For each triangle check all that apply 60 Triangle A 60 Scalene Isosceles O Equilateral 60 Triangle B 10 O Scalene Isosceles Equilateral 6 45 Triangle C Scalene Isosceles O Equilateral 45 Triangle D 10 7 Scalene Isosceles Equilateral 4 V

Find the perimeter of the square Be sure to write the correct unit in your answer 21 cm 0

Given the figure below find the values of x and z 92 12x 68 X N 11 MORS

For each triangle check all that apply Triangle A 15 15 Scalene Isosceles O Equilateral 15 5 Triangle B 11 Scalene Isosceles Equilateral 7 Triangle C 8 Scalene Isosceles Equilateral 7

Classify the four angles of the quadrilateral B A 105 90 75 90 C D LA LB LC LD Right Acute Obtuse O O

a An angle measures 140 What is the measure of its supplement b An angle measures 40 What is the measure of its complement

In the figure below mZ1 2x and m 2 x 72 Find the angle measures 1 2 m 21 1 0 m 2 2

State if the two triangles are congruent If they are state how you know 2 1 3 5 4

Suppose that f x y z 2xyze i ze j ye k If f 0 0 0 4 find f 3 3 3 Hint As a first step define a path from 0 0 0 to 3 3 3 and compute a line integra

D ABC ADC Find y Sy 7 3y 21 B 15 AWXV SAZYV Find a X Y 6 10 14 APORAMNR Find x 5x 10 R 16 WXYZYX Find p 7p 13 2p M

1 ACATADOG Find h 15 O 2 AIEF AHGF Find a E 38 20 H

witch Angle Sides Move Up Down Construct Transform 74 74 Move the Transversal 2 Select the statement that is ALWAYS true If two parallel lines are intersected by a transversal then the alternate interior angles are congruent If two parallel lines are intersected by a transversal then the alternate interior If two parallel lines are intersected by a transversal then the alternate interior angles are supplementary If two parallel lines are intersected by a transversal then the alternate interior angles are

stion 8 The total amount of crude oil Q t produced worldwide up to time t is is graphed below a Sketch the derivative Q t for 1900 2150 b Approximate the year for which Q is largest c Evaluate lime Q t and interpret Provide units d Evaluate lim Q t and interpret Provide units 2 0 Q trillions of barrels s 1 5 1 0 0 5 1900 1950 2000 2050 2100 2150

Question 3 Multiple Choice Worth 1 points 03 01 MC G H E F

The diameter of a circular stained glass window is 8 feet and 6 inches What is the area of the window in square feet in square inches Use 3 14 f The area of the window is about square feet Round to the nearest hundredth as needed

Question 7 Multiple Choice Worth 1 points 03 01 LC B AB is dilated from the origin to create A B at A 0 4 and B 4 6

Question 5 Multiple Choice Worth 1 points 03 01 MC f A B

3 4 Type your answer 1 point What is the value of x 0 58 100 Type your answer 1 point What is the value of x 120 to 160 to 130 112 110 25

television The height of the television is 29 6 inches What is the lenght of the TV rounded the nearest tenth of an inch Type your answer 1 point Look at the triangle below What is the measure of ER 6 12 30 9 E R

Type your answer 1 point What is the measure of one interior angle of a regular 18 gon Type your answer 1 point Find the value of x in the picture below 130 102 X 46

Find the value of x in the polygon below 10x 6x 10 9x 4 Type your answer 8 x 16 12 x 8 7x 2 1 point What is the measurement of one exterior angle of a regular decagon

What is the value UM below U O 12 units 7 4 units O 8 6 units O 5 units 10 P 60 M

Look at this graph 100 80 204 60 40 ZEM SMISSI 20 AY 100 80 60 40 20 0 20 40 CAM Matt Dames 20 40 60 0 8

of 4 the graph at the right Find the vertices of

rk4 Dilations 1 the image of ATBA for the dilation with center T and scale factor 2 NIT