Geometry Questions

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

Find the surface area of a sphere with a circumference of 13mm Round to the nearest tenth Select one O a 2 1 mm O b 26 9 mm O c 4 3 mm O d 53 8 mm

Find the surface area of a sphere with a diameter of 14 cm Select one O a 196 cm O b 981 cm O c 28 cm O d 784 cm

Find the surface area of a sphere with a radius of 60 m Select one O a 14 400 m O b 1 800 m O c 7 200 m O d 3 600 m

Complete the table for the similar solid Similarity Ratio 2 3 Similarity Ratio 2 3 Simplify your answers Ratio of Surface Areas Ratio of Surface Areas 0 0 Ratio of Volumes Ratio of Volumes

4 A B 112 15 MABIS com E 5x 7 12 D

Are the two figures similar If so give the scale factor of the first figure to the second figure 10 cm 32 cm A 14 cm 20 cm Are the two figures similar Select the correct choice and fill in any answer boxes in your choice below OA They are similar The scale factor is OB They are not similar Simplify your answer

The volume of a spherical balloon with radius 3 9 cm is about 248 cm Estimate the volume of a similar balloon with radius 7 8 cm The larger balloon has a volume of about cm

The pair of square pyramids are similar Use the given information to find the scale factor of the smaller square pyramid to the larger square pyramid The scale factor is 3 V 343 in 3 V 512 in

Find the volume of the square pyramid given its slant height Round to the nearest tenth 13 mm 12 8 mm Select one O a 721 1 mm O b 621 2 mm O c 931 8 mm Od 55 5 mm

Find the volume of the square pyramid Round to the nearest tenth if necessary 3 cm 5 cm 3 cm Select one O a 5 cm O b 12 cm O c 4 cm O d 15 cm

Find the volume of the cone to the nearest tenth 4 m H 3 m Select one O a 75 4 m Ob 25 1 m O c 37 7 m O d 12 6 m

Find the volume of the figure to the nearest whole number A 1 12 cm 9 cm 15 cm 14 17 Select one O a 2290 cm O b 4835 cm O c 166 cm O d 6871 cm

Find the volume of the cone rounded to the nearest cubic for 14 ft 24 ft

B 4x 8 ft 44 C MathBits com 35 2x 12 ft D

12 Ms Senter and her class want to design a Red Wolves Sign for the classroom it will be an isosceles triangle with base angles that are 2 times and 3 additional degrees bigger than the top angle to determine the angles of the triangular sign hint drawing a picture may help

8 Can these sides make a triangle a 3 6 9 b c 3 7 8 20 25 40

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

10 A 3v2 C DE 1 AB AB CD IABI 14 cm IDEI 6 cm IDCI 10 cm Verilenlere g re emberin yar ap uzunlu u ka santi metredir B 4 2 C 5 2 D 62 882