Geometry Questions

The volumes of two similar solids are 729 m and 125 m The surface area of the larger solid is 324 m What is the surface area of the smaller solid Select one O a 200 m Ob 56 m O c 100 m O d 180 m

The surface areas of two similar solids are 384 yd and 1057 yd The volume of the larger solid is 1795 yd What is the volume of the smaller solid Select one O a 1795 yd O b 1082 yd O c 393 yd O d 978 yd

The volumes of two similar figures are given The surface area of the smaller figure is given Find the surface area of t larger figure V 125 in V 216 in 3 S A 200 in

In the figure to the right if AC 17 and BC 14 what is the radius The radius is approximately B C Round to the nearest tenth as needed D A

The surface areas of two similar figures are given The volume of the larger figure is given Find the volume of the figure S A 36 m S A 225 m V 750 m

Q 9 5 10 8 6 10 a 6 N 2 8 10 2 R 6 10 6 S 2 10 8 10 x Find the area of the triangle QRS Area square units

If the scale factor of two similar solids is 3 14 what is the ratio of their corresponding area What is the ratio of their corresponding volumes Select one O a The ratio of their corresponding areas is 3 196 The ratio of their corresponding volumes is 3 2744 Ob The ratio of their corresponding areas is 6 28 The ratio of their corresponding volumes is 9 42 O c The ratio of their corresponding areas is 9 196 The ratio of their corresponding volumes is 27 2744 Od The ratio of their corresponding areas is 27 2744 The ratio of their corresponding volumes is 9 196

6 Andre is thinking through a proof using a reflection to show that a triangle is isosceles given that its base angles are congruent Complete the missing information for his proof B Construct AB such that AB is the perpendicular bisector of segment CD We know angle ADB is congruent to 2 1 DB is congruent to is congruent to angle since AB is the perpendicular bisector of CD because they are both right 3 6 Angle angles Triangle ABC is congruent to triangle Congruence Theorem AD is congruent to 4 5 because of the Triangle because they are corresponding parts of 7 congruent triangles Therefore triangle ADC is an isosceles triangle

Which figure best demonstrates the setup for the box method of finding the area of a triangle 0 O O O

4 Select all true statements based on the diagram a Angle CBE is congruent to angle DAE b Angle CEB is congruent to angle DEA c Segment DA is congruent to segment CB d Segment DC is congruent to segment AB e Line DC is parallel to line AB f Line DA is parallel to line CB

D 10 3 6 4 2 F 164 y 10 8 6 J N 2 to co F6 8 10 2 4 6 10 x E Find the area of the triangle DEF Area square units www

10 8 6 4 2 B A T y 10 20 6 4 st 2 2 4 6 10 D 2 FXX 4 C CO 6 8 10 E X Which statement is true of the right triangles ABC and DEF O Area of ABC is greater than area of DEF O Area of ABC is less than area of DEF O Area of ABC is equal to the area of DEF O There is not enough information to compare the areas of triangles ABC and DEF

Find the missing length of the triangle 1 8 ft I 6 ft

Translate it to become the graph of y Below is the graph of y x 2 3 X

10 6 A 3 1 D 2 11 y 10 2 TO 2 B 7 9 10 C 8 1 Create a rectangle around the parallelogram The dimensions of this rectangle are Find the area of the four right triangles surrounding the parallelogram The total area of the triangles is square units Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram The area of parallelogram ABCD is square units

10 8 4 2 D y 10 69 4 N 7 6 8 10 14 51 I 2 E B 6 8 10 C X Segment BE is the altitude of parallelogram ABCD BE is approximately 14 5 units long What is the area of the parallelogram rounded to the nearest unit square units

Graph the exponential function f x 8 Plot five points on the graph of the function and also draw the asymptote Then click on the graph a function button X

4 y 3 x 1 2 5 y x 1 2 x 1 2 x 1 a y a 6 y 4 x 1 2 nck 1 2 4 2 K 1 4 2 3 x 1 2 4 2 x 1 13cv How are they the same How are they different Create two additional equations with the same vertex as the equations above Venter

Find the vertex of the following quadratic equations and compare 4 y 3 x 1 2 5 y x 1 2 1 x 1 y 2 x 1 aCy 2 Vertex 6 y 4 x 1 2 4 k 1 4 2 x 1 4 2 3 x 1 4 2 x 1 3 y z How are they the same How are they different Create two additional equations with the same vertex as the equations above

A 9 10 10 6 2 y 10 6 2 DO 10 ON 5 C 4 6 fy R 10 B 7 2 Triangle ABC is a right triangle The length of BC is 5 units The area of ABC is square units

2 What is the y intercept of the line y 3 5x 7 OA 3 5 OB 7 C 3 5 O D 7

P 10 33 Y 40 6 4 2 6 40 8 10 R The coordinates of the vertices of the triangle are 8 8 8 4 and Consider QR the base of the triangle The measure of the base is b 18 units and the measure of the height is h units The area of triangle PQR is 108 square units

5 4 3 2 LO 5 4 NW 3 2 1 2 CO 4 5 y 2 3 4 X The distance between the two points pictured is d Use the distance formula to find n d x x v V n

12 Determine whether the triangles can be proved similar If they are similar write a similarity statement and explain how you know they are similar If they are not similar explain why 4 points each 1 3 4 Find the missing values Leave answers in simplified radical form 2 points each 3 8 45 t 2 45 4 9 3 f O 60

14 A cylinder whose radius is 2 inches is removed from the right prism as shown The ends of the prism have the shape of an equilateral triangle whose sides are 8 inches long Find the volume of the remaining solid in cubic inches Dimensions are in inches 8 8 10

3 Q1 Review In the diagram below n m and m24 x 45 and m27 x 45 Determine all possible values of the m27 n m 7 8 4

9 Find the arc length and area of the sector and round your answers to the nearest tenth 4 pts 60 10 in

3 Q1 Review In the diagram below n l m and mz4 x 45 and m27 x 45 De possible values of the m27 m 7 8 4

the surface are Round your answers to the nearest tenth 6 pts 6 yd 6 yd 12 yd figure below

5 In the segment below segment DC 29 ABD 52 and BCD 30 Find side lengths AB BC AC rounded to the nearest tenth and angle measures for A and ABC rounded to the nearest degree 5 pts h 29 30

6 One card is randomly drawn from a deck of 52 cards What is the probability of getting a Jack or a Spade 3 pts

6 Determine the surface area of the triangular prism below Round your answer to the nearest tenth 5 4 m 2 4 m 8 4 m 4 3 m 4 1 m

5 Determine the surface area of the right rectangular prism below whose base is a square 8 in 8 in 8 in

1 Find the surface area of the triangular prism shown below Round your answer to the 10 ft 16 ft 12 ft 19 6 ft 5 ft

4 Determine the surface area of the right rectangular prism below 5 cm 7 cm 2 cm

2 A box of snack crackers is in the shape of a triangular prism What is the surface area of the box Round your answer to the nearest tenth 5 cm 14 cm 5 cm 4 3 cm 5 cm

a A sum of 5 6 or 7 and the probability of getting b Doubles or a sum of 6 or 8 c A sum greater than 8 or less than 3 d Based on the answers to part a b and c which is least likely to occur Explain why 9 An urn contains 6 red marbles 2 green marbles 1 blue marbles and 1 white marble If a marble is drawn find the probability of getting a red or a white marble

9 In Rolling Acres Subdivision 42 of the houses have a deck and a yaray 60 have a deck Find the probability that a home has a garage given that it has a deck 10 In a pizzeria 95 of the customers order pizza 11 65 of the customers order pizza and a salad find the probability that a customer who orders a pizza will also order a salad

6 Of fans who own sports league licensed apparel 31 have NFL apparel If 3 of these fans are selected at random what is the probability that all have NFL apparel

from an ordinary deck of cards find the probability of ge the following a A king or a queen or a jack b A club or a heart or a spade c Aking or a queen or a diamond d An ace or a diamond or a heart e A 9 or a 10 or a spade or a club

A card is chosen at random from a standard deck Find each probability as a fraction in simplest form a decimal rounded to 3 places and percent rounded to the tenths place P ace Fraction Decimal Percent

Probability Practice 2 6 na statistics class there are 18 juniors and 10 seniors 6 of the seniors are females and 12 of the juniors are males If a student is selected at random find the probability of selecting the following a A junior or a female b A senior or a female c A junior or a senior b A club or a heart or a spade c Aking or a queen or a diamond 7 If one card is drawn from an ordinary deck of cards find the probability of getting the following a A king or a queen or a jack d An ace or a diamond or a heart e A 9 or a 10 or a spade or a club b Doubles or a sum of 6 or 8 da Name Det 8 Two dice are rolled Find the probability of getting a A sum of 5 6 or 7 c Asum greater than 8 or less than 3 ORE Ricarney out alugmo nely and easqnto 20777 il sal better In ho wasten co BIA S dorg beurs HORA ZA aurbest mog E d Based on the answers to part a b and c which is least likely to occur Explain why An urn contains 6 red marbles 2 green marbles 1 blue marbles and 1 white marble If a marble is drawn find the probability of getting a red or a white marble

What is the formula for finding the surface area of a triangular prism Explain why this formula make

the surface area of the rectangular prism below T 2 feet 6 feet

A balloon has a circumference of 11 cm Use the circumference to approximate the surface area of the balloon to the nearest square centimeter Select one O a 39 cm O b 121 cm O c 380 cm d 154 cm

Find the volume of the figure to the nearest tenth 10 m 13 m 10 m 10 m Select one O a 2300 m O b 1633 m O c 1043 m O d 1433 m

3 In the cube above one of the edges is 4 inches a How many faces squares makes up a cube b What is the surface area of the total cube c What is the surface area of the top and bottom of the cube only

50 m rmine the surface area of the right rectangular prism below whose base is a square YOU DO ROUND 1 10 m L10 m

There are 800 toothpicks in a regular sized box If a jumbo box is made by doubling all the dimensions of the regular sized box how many toothpicks will the jumbo box hold The jumbo box holds toothpicks

2 Determine the surface area of the triangular prism below 15 cm 5 cm 3 cm 4 cm 5 cm