Geometry Questions

Round your answer to the nearest hundredth 6 7 DO

2 A triangular prism has a base with dimensions of 9 inches by 4 inches and a height of 12 inches A triangular pyramid has a base with dimensions of 9 inches by 4 inches and a height of 12 inches Determine the which figure has the largest volume

Find the value of x X Type an integer or a decimal

the diagram below a right circular cone has a diameter of 8 inches and a height of 12 inches 8 inches H 1 201 2 481 12 inches What is the volume of the cone to the nearest cubic inch 3 603 4 804

1 3 What is of the volume of the cone below to the nearest cubic inch 15 m I I I 4m

APQR is inscribed in a circle with mZP 40 mZQ 60 and m R 80 What are the measures of PQ QR and PR 22682 11 11 PR

6 A junior was studying for their SAT and used the formula A r to determine how much soda a cup could hold What was their mistake What would you tell them about finding how much liquid in a cup

8 Unit 9 Review Evaluate tan 225 Show all k

circumference of a circle with a radius of 27 feet

The slope of line I is and its y intercept is 3 1 2 What is the equation of the line perpendicular to line I that goes through 1 5 A y 2x 3 B y 2x 7 1 11 C y x 2 1 D y x 2 9 2

What is the value of y y Type an integer or a decimal

What is the value of x Type an integer or a decimal X

Find the value of c using the given chord and secant lengths in the diagram shown to the right C Round to the nearest tenth as needed C 10 12 19

Find the value of the variable

Refer to OP for problems 4 8 given mQR 100 T P Answer S What is mST R

1 Find the volume of the figures below and then order them from largest volume to smallest 15 ft 12 11 6 ft ft 12 ft

ft 14 ft 15 ft a Write the formula you re using b Determine the volume

2 The cone below is filled with ice cream One scoop of ice cream outside the cone has a volume of 17 in What is the combined volume of ice cream inside the cone and the scoop on top to the nearest hundredth 2 in 13 in

GK is tangent to circle O at point Q QR is the circle s diameter Find m GQR R O G e K

Refer to OJ for problems 9 11 Segment KL is tangent to OJ A M L If the radius is 3 and LM 2 what is KL Answer

DE is tangent to OC D C F Select one O a 8 6 O b 2 10 O c 4 O d 4 3 E If DE 4 and CE 8 what is the radius

AGHI circumscribes OK What is the perimeter of A GHI 5 in G K 2 in 6 in H

EF is tangent to OD What is the value of x E 66 D G 7 F

Lines I and m are parallel lines cut by the transversal line t Which THREE angles are congruent to 5 x A 41 x B x 28 C 22 4x D 1 2 3 4 5 6 7 8 24 m

If MN 5x 5 and NK 3x 1 determine which of the following values are correct Select two that apply zoom in a MK 20 b JL 10 C NK 10 d MN 20 e JL 30 M 2 Swlect ALL th A B C D

911XZ 5X 1 and PZ 3x 1 what is XP W 10 If WY XZ 38 what is PZ Refer to the figure in No 9 zoom in 9 10 Type a response Type a response

3 Use the parallelogram to complete the stateme E G F 20 in 3 The measure of ZF a 40 b 50 D 40 A 10 in c 140 d 150 zoom in 3 O A B Oc D

A soccer team has 10 players and needs to choose 2 captains How many ways can the captains be selected

7 Jessica draws two parallelograms One of the parallelograms is a square Which zoom in properties must Jessica s two parallelograms have in common Sel apply a Four right angles b The opposite sides are parallel c Diagonals are congruent d Opposite interior angles are congruent e Consecutive interior angles are complementary 7 A CA

8 What is the value of x in the parallelogram below E F 24 6X 6 D 44 42 G 2x 30 zoom in 8 Type a response

6 Examine the parallelogram HIJK below H I 9x 1 K 7x 71 zoom in Determine which of the following values are correct Select three that apply a x 2 b x 4 C m l 35 d m ZH 145 e m j 150 f m 2K 34 6 0 0 0 0 0

1 Which equation can be used to solve for the value of x 4x 5 11x 6 11x 4 9x 10 a 4x5 9x 10 90 11x 4 4x 5 b c 11x 4 11x 6 d 4x 5 11x 4 180 1 O A B C D

me ligure shows triangle ABC Select all expressions that must be equivalent to cos A A sin x OB sin y C cos y D cos 90 y E cos 90 A to yo 20

3 3 2 The surface area of the rectangular container pictured is 216 square feet What is the value of x 216 10 feet

Find the value of the variables For the circle the dot represents the center 50 b Answer 39 a Input answer as a b c

Find the value of the variables Lines that appear to be tangent are tangent b a 224 Input answer as a b

Find the value of a For the circle the dot represents the center 17 20

Determine whether the equation represents y as a function of x x y2 49

7 Solve the rational equation remember for solving you want to get rid fractions 7 points 2 x 4 4 X 4 12 x 16

raph the solution set of the system 14 y 5x 1 x y 25 10

Formula Bank X2 Midpoint x x y 2 2 Distance x x Y Name of Property being verified Slope m Y2 Y X2 X Work to support the property

5 Find the perimeter of ADEF 19 J 16 40 E

Parallelogram ABCD A 0 0 B 3 3 C 7 1 D 4 4

7 Verify the identity Remember to include rationale for each step tan 2x cos 2x 2 sin x cos x

10 Find the area of circle C by using the Law of Sines to find the radius Hint What kind of triangle ABC A C 100 35

0 420 28 0 2 0 48 3 Monica has 12 different flavors of coffee and is selecting which one she will drink each morning before work How many different ways can Monica choose a group of 5 flavors so that has a different flavor each day

7 In a survey about a change in public policy 100 people were asked if they favor the change oppose the change or have no opinion about the change Of the 100 people surveyed 40 are male and 28 oppose the change in policy Of the 28 who oppose the change 20 are female What is the probability that a randomly selected respondent to the survey is a man or opposes the change in policy

3 73 8 42 Z YZ X 63 52 Y

Topic Main Ideas Questions 45 45 90 Special Right Triangle 30 60 90 Special Right Triangle Notes Examples 1 long 8 4 long 7 7 Directions Find the value of each variable 2 3 y x 30 45 45 y 46 60 short X 2x X 2 y y 60 Leg 60 sitt Directions Find the value of each variable 5 5 3 10 Hypotenuse x 2 45 8 Class Period 30 x Shorter Leg Longer Leg 3 Hypotenuse 2x 60 L y y y 25 14 x X y 20 3 Note The legs of a 45 45 90 triangle are always congruent 6 19 9 45 y Note The shorter leg is always opposite the 30 angle and the longer leg is always opposite the 60 angle y vig 30 322x x 16 y 16 3 y 30 943

For problems 8 10 use the figure and information below ON and OO are congruent PQ is a chord of both circles 0 NO 12 in and PQ 8 in how long is the radius to the nearest tenth of an inch Answer