2D Geometry Questions and Answers

ven the following sets find the set A n BUC U 1 2 3 8 A 1 2 4 6 B 1 2 3 C 1 2 3 4 5

The circle in the figure below has a radius of r and center at C The distance from A to B is x Redraw the figure below label as indicate in the problem and then solve the problem If C 70 and x 27 find r Round your answer to the nearest whole number r Xx D B X A

could be used to show that Circle A is similar to Circle B 2 and radius 1 0 0 and scale hat sequence of transformations a a translation of the center 5 units to the right and 2 units up then a dilation with center 0 0 and scale factor 3 b a translation of the center 5 units to the right and 2 units down then a dilation with center 113 C a translation of the center 5 units to the left and 2 units up then a dilation with center 5 2 and scale factor 3 d a translation of the center 5 units to the left and 2 units up then a dilation with center 5

what is the equation for the parabola with a focus f 0 16 7

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

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 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

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

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

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

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

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

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

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

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

4 Use the circle below to answer the following questions i Determine the area of the shaded sector in terms of a b C d d 135T cm 2 9 m 2 45 cm 11 cm 18 ii Determine the length of the arc bounded by the shaded region in terms of 135 a 2 b 9 m C cm 45 m 117 cm 18 48 72 15 cm

All rectangles are parallelograms Some rectangles are trapezoids All parallelograms are rectangles All kites are rhombi All squares are rectangles True False O

2 The equation of a circle is x 5 y 12 The radius and the center of the circle are given by Radius 6 Center 5 0 b Radius 2 3 Center 5 0 Radius 2 3 Center 5 0 a C d Radius 6 Center 5 0 3 the m

S A CT 10 B RA 4 C SR 5 H R If SR x 3 and SA 3x 1 determine which of the following values is correct D RT 8 shown below A T

For Questions 19 and 20 refer to the figures DF AB DE mLA m2D 19 Given AC Which can be concluded by the Hinge Theorem A AABC ADEF C BC EF B BC EF D BC EF B E 20 Given AB DE BC EF AC DF Which can be concluded by the Converse of the Hinge Theorem FmLB mLE HmLB mLE GmZB mLE J ABAC AEDF D

8 Given quadrilateral QUAD is a rhombus and m QUD 33 find the measure of each numbered angle D m 1 m 2 m 3 4 m 4 2 3 A degrees degrees degrees degrees

Find the sum of the interior angles of the figure shown below

Find the value of x in the figure below 64 3x 57 4 x 50

G A Determine which of the following values are correct Select all that apply x 17 B x 7 6x 12 C m F 114 F D m R 66 E m O 136 7x 5 m G 44 R

18 BF is a median of ABEC If EC 15 find FC F 5 H 10 G 7 5 J 30 A

18 BF is a median of ABEC If EC 15 find FC F5 H 10 G 7 5 J 30 A DE

15 Choose the assumption you would make to start an indirect proof of x 3 Ax 3 Dx 3 Bx 3 Cx 3