Geometry Questions

3 The central angle of a circle measures 97 and intercepts a minor arc What is the measure of its major arc a 83 b 97 C 187 d 263

6 What is BD a 7 5 b 8 5 4 C d

b Let T x y 4x y 1 x y2 represent the temperature on the xy plane Sketch the leve curves for T 2 1 0 1 2

4 Which of these arcs has a measure of 134 7 201 g 2 46 c EG d DH

Find the area of the polygon 17 kite 26 18 regular pentagon 19 regular decagon C

1 Factor completely 3 x 3 x 2 1 b 3 x 3 x 3 3x 9 x 2 a C 3x 3x18

Find the lateral area of each regular pyramid 7m 7 m 17 7 m 15 ft 12 ft 12 ft 12 ft ANS

Find the surface area of ench regular pyramid 21 ft 9 5 cm 12 ft 5 cm 12 ft 9 cm Ans S A ANS S A

Find the lateral area of each cone 2 A 20 cm 57 9 cm 10 m 2 m ANS L A bi

3 Use the quadratic formula to solve x 2x 3 2

What is the difference between factoring and solving

8 Factor completely 5a b 20a b5

7 Solve the following quadratic equation a x 4 11 b x 4 21 c x 8 21 x 5 8x

8 Factor completely 5a4b 20a b5

9 Factor completely 21m5n 7m n

Tor Analysis Using the Quadrat 2a nd the line that contains the error explain the error and then solve the problem correctly Line 1 Line 2 Line 3 Line 4 Line 5 X x2 5x 24 x 5x24 0 a 1 b 5 c 24 5 5 4 1 24 2 1 5 25 96 X X 2 5 71 2

3 Solve for x 1 Marton Ex 4 3 2

A solid with surface area 50 units is dilated by a scale factor of k to obtain a solid with surface area 200 units2 Find the value of k

2 The curve r 4 sine is rotated about the x axis Find the area of the resulting surface

a The slope of the line is 1 3 Simplify your answer b Interpret the slope For every 3 unit change in x the change in y is unit s Simplify your answer

This prism has a right triangle for a base What is the volume of the prisma The volume is cubic units 4 A 8 5 D B

solve the following equation for 0 where 0 0 180degree sec 20 3degree csc 20 51degree

7 4 A 1 Solve for angle C Show your work 11 6 C B 15 2

Note type any negative numbers without a space between the sign and the number ex 17 Do NOT include commas for spacing between sets of three digits ex 250000 include a 0 before the decimal point when necessary ex 0 2 Here is a graph of y sin 0 y sin 0 A 0 71 1 b For which angles 0 does sin 0 Your answers should be of the form 3pi 4 or pi 2

A rotation takes P to Q What could be the measure of the angle of rotation in radians Select all that apply KA 214

Rob and his brother are riding in the same car on a Ferris wheel which has a diameter of 40 feet Once the Ferris wheel starts they feet before the ride stops to let more people on What is the measure of the associated central angle for the travel a distance of T arc they traveled The central angle measures

Find the slope of the line if it is defined The line through 6 9 and 3 9

Use the Law of Sines to find all triangles if 109 b 13 5 c 10 5 Round to two decimal places As in the text a a B b and y c are angle side opposite pairs If no such triangle exists enter DNE in each answer box Enter the values for an acute triangle solution Y degrees degrees a Enter the values for an obtuse triangle solution Y degrees a degrees a Question Help Video

the parallelogram to answer each of the following questions a Find the height b Find the area of the parallelogram 3 2 The triangular prism below has a base area of 25 units and a height of 5 9 units Find its volume 3 In right triangle MTH shown below mZH 90 HT 8 and HM 5 a Which figure is formed if triangle MTH is continuously rotated around MH 7 b Determine and state to the nearest tenth the volume of the three dimensional solid formed by rotating triangle MTH continuously around MH M 5 DI H 4 What is the volume of a hemisphere that has a diameter of 12 6 cm to the nearest tenth of a cubic centimeter 8

1 Use the parallelogram to answer each of the following questions a Find the height 5

1 Bob wants to measure the building and decides to use a mirror to do so He stands away from the building and looks into the mirror on the ground moving away or closer to the mirror until he can see the top of the building in the mirror His friend measures the distance between the building and the mirror and the mirror and Bob They draw the following picture to demonstrate the distances Solve for the height of the building 5 ft Cong s by prop of reflections Line of sight 10ft Mirror 100ft h Building Right angle with the ground

3 The image comes from www startplayingtennis com You are playing tennis are are ready to serve the ball You hit the ball at a height of 8 You are standing on the baseline 39 from the 3 5 net Where will the ball land on the other side of the net 8 tennis player

2 A man who is 6 feet tall stands in front of a flagpole His shadow is 10 feet long and the distance from the flagpole to the tip of his shadow is 85 ft How tall is the flagpole 6 ft ft

Find the perimeter of the room given the blueprint shown below 4 cm A B 5 cm G LL F 1 cm 3 5 ft 2 cm E 2 cm

6 5x2 4 H

13 Find x and y Ke 71 X2 to vita y 80

He whether each of the following quadrilaterals can be classified as a parallelogram based on the markings shown in each figure th image into the appropriate category AG DROP THE ANSWER Parallelogram 17 Q Q Cannot determine not enough informatio

Draw EA EA AE AEGA AAME ZGEA ZMAE LGAELMEA EG AM GA ME GAME is a parallelogram exactly one line Reason SSS Congruence Theorem Corresponding parts of congruent triangles are congruent Reason Definition of a parallelogram A Reflexive Property of Congruence Same Side Interior Angles Converse B Reflexive Property of Congruence Alternate Interior Angles Converse C Transitive Property of Congruence Pairs of congruent segments are parallel

3 In the diagram of circle A m2D 38 Label the measures of ZBAC and mBC on the circle B

10 Identify the measure of x 80 x e 60

12 Circle O has an mBOC 118 and the radius OB 7 cm Determine the arc length of AB to the nearest tenth A Which student below has set up the correct equation Student A 118 S 2 7 360 80 Student B 62 S TC 72 360 Explain what the other two students did incorrect Student C S 2 7 62 360 C B

15 Would the point 3 4 lie outside of Circle A x 1 y 4 96 Explain how you know

Bonus QS is a median of APQR with point S on PR If PS x 3x and SR 2x 6 find the possible value s of x

13 The equation of a circle is x 10y y 4x 4 Identify the center and radius

11 Find the diameter of a circle with an area of 74 mm Round your answer to the nearest tenth

14 Given a circumference of 24 cm what is the equation of a circle with center 0 9 a x 9 y 12 b x y 9 144 x y 9 2 12 d x y 9 24 C b Now determine the area to the nearest tenth

7 In the circle above ABCD is a quadrilateral and mA 8x 15 mzB y 10 mzC x 75 and m2D y 10 Which angle is greatest in measure in the quadrilateral A acib odal E lo esimenom od B

9 The center of a circle is 5 4 and one point on the circle is 5 10 What is the length of the diameter Hint Draw a quick sketch or use the distance formula to start do diapel aroun

5 Determine the value of x 9 3 18

8 A circle in the xy plane has equation x 2 y 2 4 Which of the following points lies in the interior of the circle a 1 0 b 2 1 c 0 0 d 3 2