Geometry Questions

In A RST which trigonometric function is represented by the ratio RS R cos R csc S sin R tan S S

In the figure below AMNO APOR Determine the length of QF M P 10 4x 2 A N 2y 3 21 3 12 x y R

Mark did a survey to determine what the favorite food in his school was He asked 50 students in his school what their favorite food was The results are shown in the table below Boys Girls Hamburgers Pizza Tacos Hot Dogs A B 96 8 4 6 If Mark randomly selects a boy what is the probability that the boy s favorite food is tacos ESTA 12 1 10 8 5

The light from a lamp creates a shadow on a wall with a hyperbolic border Find the equation of the border if the distance between the vertices is 20 inches and the foci are 7 inches from the vertices Assume the center of the hyperbola is at the origin

The pair of figures to the right are similar Compare the first figure to the second Give the ratio of the perimeters and the ratio of the areas The ratio of the perimeters is Simplify your answer 10 in 14 in

The figures to the right are similar Compare the first figure to the second Give the ratio of the perimeters and the ratio of the areas The ratio of the perimeters is Type an integer or a simplified fraction 18 cm 27 cm

The pair of figures to the right are similar What is the ratio of the perimeters and the ratio of the areas The ratio of the perimeters is Simplify your answer GIPEED 9 in 12 in

A person wants to estimate the number of fish that are in a lake Which of the following would be least useful in determining the number of fish in a lake the average number of fish per square mile A B D the length and width of the lake the depth of the lake the number of fish caught per day

Triangle KNM is shown What is true about the sides of KNM K 25 A N 130 KN NM KN NM KM KM 2 NM 25 KN KM M

Sam claims that cos X sin Y if X and Y are congruent angles Is Sam correct A Yes Sam is correct B C D No cos X sin Y if X and Y are corresponding angles No cos X sin Y if X and Y are complementary angles No cos X sin Y if X and Y are supplementary angles

4 19 X 6 triangle Nienste a 25 A 3 Lo thanghe Hiaste

What is the formula for the area of the piece that Mrs Thompson cut out C D The Thompson Family made a circular cheesecake with a radius of 4 inches for dessert The area of the cheesecake can be found by using the formula A or A 4 Mrs Thompson cut out a piece that has a central angle of 39 as shown below T B A 186

Chang knows one side of a triangle is 13 cm Which set of two sides is possible for the lengths of the other two sides of this triangles A D B C 5 cm and 8 cm 6 cm and 7 cm 7 cm and 2 cm 8 cm and 9 cm

10 9 8 7 6 5 4 3 2 1 A B D This graph shows triangle EFG C E FNPTY PRO 9 6 7 9 10 10 8 546265 The transformation x y x y maps triangle EFG to triangle E F G Felect the true statement N 3456 The coordinate of F is 8 1 The coordinate of E is 4 4 8 9 10 The coordinate of G is 2 3 The coordinate of F is 1 8

Using Cavalieri s Principal what is true when comparing the following three solids c D A B If they have the same height they have the same volume If they have the same cross sectional area at any given level they have the same volume If their cross sectional areas are the same at any given level and their heights are the same they have the same volum If their cross sectional areas are the same at any given level and heights are the same they have the same surface a

The probability that Milo will be assigned math homework is 0 35 The probability that he will be assigned both math and writing homework is 0 20 The probability that he will be assigned either math or writing homework is 0 65 What is the probability that Milo will be assigned writing homework B C D 0 10 0 15 0 30 0 50

What is the probability of flipping a coin three times in a row and getting Heads for all three consecutive coin flips A B C 1 6 12 11 3

A box is designed so that 4 cans of soup fit tightly into the box as shown below VEGETABLE VEGETABLE SOUP SOUP Each can has a diameter of 3 inches and a height of 5 inches What is the volume of the box A B C D ABLE 45 cubic inches 75 cubic inches 150 cubic inches 180 cubic inches

The fair spinner shown below is used in a board game 2 In the game a player spins the spinner twice and finds the sum of the results of both spins The player then moves forward that many spaces on the game boa How many different numbers of spaces are possible for the player to move forward Enter your answer in the box

Look at the three dimensional solid below Which two dimensional shape can be rotated to create this solid D B C A 4 A

When graphing r 9cos 40 the cos 40 0 on the interval TT 8 1

The coordinate plane below shows point P 2 2 and the line y x 1 ON P 2 2 B C 6 5 4 3 2 10 23456X 321 2345 2 54 3 5 6 Which equation describes the line that passes through point P and is perpendicular to the line on the graph A y x 3 y x 1 y x y x 3 D y x 1

C D Ricardo has a square hot tub He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5 If the pool is to be 24 ft on each side what is the length of one side of the hot tub A B DC A B D 4 ft 4 8 ft 6 ft 7 2 ft B 24 ft C

Henry is painting a house He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the house Enter the measure of the angle that is formed between the ladder and the ground rounded to the nearest tenth

Which rule explains why these triangles are congruent X A B AAS SAS H W Y V

The coordinates of the vertices are translated 5 units right and 2 units down Which of the following rules correctly represents that transla A D B C x y x 2 y 5 x y x 2 y 5 x y x 5 y 2 x y x 5 y 2

What is the measure of angle O in parallelogram LMNO L O x 40 B D A C 3x 35 75 105 155 M N

In the figure below circle O has a central angle of 120 What is the area of the shaded sector of circle O in terms of r the radius Leave your answer in terms c A B C O 120 2 3 square units Tr square units Tr TTT square units

A tree trunk has a height of 30 feet and a radius of 2 5 feet Which of these best represents the volume of the tree trunk C D A B 236 ft 471 ft3 589 ft 2 355 f3

When graphing the polar equation r 3 cos 20 as moves from 3 to the radius changes from 0 graph is in quadrant to 3 and the

O A B C Event A 0 24 Which equation proves that events A and B are independent 0 24 0 13 0 22 0 13 0 13 0 24 0 13 0 22 0 41 1 1 0 24 0 13 0 22 0 13 0 13 0 41 D 1 0 13 Event B 0 22 0 22 0 13 0 24 0 13 0 41 0 05

Identify two chords A D B C DE and FG FG and HI DF and EG DE and HI

A ABC is an equilateral triangle What are the approximate coordinates of vertex A D B 2 1 C A B 4 2 5 4 3 A x y 4 4 44 5 C 6 1 X

What is the perimeter of this triangle C A 4 5 33 units B B 36 units 39 units 8 5 8 4

9 Solve for the each length Round to the nearest tenth when needed P 6 a QP S 30 R bQS c QR

A ane has a slope of 4 What is the slope of any line perpendicular to this line O A C B C D undefined

Question 14 The roof of a house is represented on the coordinate plane below A 7 2 B 5 4 A builder attaches a support beam to the roof at a point exactly of the way between point A and point B What are the coordinates of that point Drag and drop numbers into the boxes to correctly complete the coordinates

Circle A is transformed so that its area has been quadrupled What are the resulting changes to its circumference and radius The circumference is doubled and the radius is doubled A D B C The circumference is quadrupled and the radius is doubled The circumference is doubled and the radius is quadrupled The circumference is quadrupled and the radius is quadrupled

A right circular cylinder is shown below B Which of the following could be a two dimensional figure that results when a plane intersects this right circular cylinder Select three that appl A circle C 80 cm D ellipse triangle 60 cm rectangle

Carl is attempting to find the value of 2 He set up the proportion 2 If Carl is correct what should his answer be If Carl is incorrect what is the correct proportion and answer Carl is correct and z 24 A D B C Carl is correct and x 6 Carl is incorrect because the proportion should be and x 1 5 Carl is incorrect because he cannot find x due to lines BE and CD not being parallel

6 In the diagram UQ and VP intersects at R and UV QP VR 65 UR 7x 1 RQ 130 and RP 169 U V 65 7x 1 R 169 130 What is the length of UR P O

In the diagram below of AABC TV BC AT 5 TB 7 and AV 10 B What is the length of VC is ver a 3 1 2 7 dodwyd TA c 14 d 24

In AABC shown below ZACB is a right angle E is a point on AC and ED is drawn perpendicular to hypotenuse AB A E B If AB 9 BC 6 and DE 4 what is the length of AE a 5 b 6 c 7 4 9 8 oxx

The equation 0 09z 55 64 models a person s height in inches where x is the weight of the person in pounds According to the regression equation what is the approximate height of a person that weighs 160 pounds O about 59 02 inches O about 70 04 inches O about 72 87 inches O about 74 56 inches

Name Billy Barbara Eli Ken Lara Lindsey Marie Beginning balance in thousands of dollars 6 4 3 1 8 3 4 Change in checking account in hundreds of dollars 6 5 2 5 4 8 2

The scatter plot shows the number of pigs and cows on various farms Cows 80 82 882 88 70 60 50 40 30 20 10 0 0 e A H Number of Pigs and Cows G E F B D 10 20 30 40 50 Pigs 60 70 80 90 Which farmers had more cows than pigs 100 Name Josie Harold Connie Jackson Emma Jose Jaylan Mimi Jacob Emiel D Yosef Label A B C D E F G H 1 J K

The scatter plot shows the results of a survey in which 10 people were asked how many e mail accounts and how many credit cards they have How many e mail accounts does the person with 7 credit cards have Enter your answer in the box Number of credit cards 99876543NTO 10 2 1 0 6 1 2 3 4 5 6 7 8 9 10 Number of e mail accounts

3 In the diagram of AUVW below A is the midpoint of UV B is the midpoint of UW C is the midpoint of VW and AB and AC are drawn VC length VW 7x AB 3xH VC 5 U 3x 1 5 B V 1 If VW 7x 3 and AB 3x 1 what is the length of VC b 13 C 7x 3 W c 16 d 32

Two variables are correlated with r Which description best describes the strength and direction of the association between the variables O moderate negative O strong negative O moderate positive 0 925 O strong positive

Two variables are correlated with r 0 23 Which description best describes the strength and direction of the association between the variables O weak positive O strong negative O strong positive O weak negative