2D Geometry Questions and Answers

18 1 Points DETAILS A graphing calculator is recommended Determine an appropriate viewing rectangle for the function and use it to draw the gra f x sin x 60 1 5 1 5 O 120 1 5 120 T 1 5 1 5 1 5 T 30

The line m has a slope of that is perpendicular to line m 0 0 where a and b are integers What is the slope of a line

Which equation below would be parallel to the line 2x 8 0 2 8 0 10 3 OP 0 2

Which equation below is the only one that is NOT parallel to the line y 3 3X 6 2 6x 4 6x 2y 9 6x 3

14 Match the correct answers Given ZABC is a rt 4 AC BD CH 14 00 Yes or no must the parallelogram be a square Choose the numbers of the theorems that support your answer 1 DABCD is a rectangle Theorem 2 AC BD Theorem

A circle that passes through the point 3 7 with a center point of 0 3

DIC CONTEC diiswers Given ABCD is a rhombus Prove ABCD is a parallelogram ABCD is a rhombus Statements 1 ABCD is a rhombus 2 BC AD and AB CD 3 AC AC 4 ABC ACDA 2 5 21 24 and 22 223 6 BC AD and 7 ABCD is a parallelogram a BCCD b Symmetric c Reflexive d SSS e AB CD Reasons 1 Given 2 Def of rhombus 3 4 5 CPCTC 6 Cony of the Alt Int Thrm 7 Def C Prop of

dered pair C 2 3 2 in the rectangular coord the point lies on the x axis or y axis

Q Given that AA B C is a dil the angles and side length to the angles and side leng

Suppose cos A 0 3 Use the trig identity sin 2 A cos 2 A 1 to find sin A in quadrant II

An electronic widget company s profit P x is modeled by the function P x 0 5x2 5x 200 where x is the number of 0 25 price increases of each widget Use the graph to answer the question profit 200 100 10 20 30 number of price increases Which option best approximates the maximum profit and number of price increases The maximum profit of 200 00 occurs at 0 price increases The maximum profit of 200 00 occurs at 10 price increases O The maximum profit of 212 50 occurs at 5 price increases The maximum profit of 0 00 occurs at 25 6 price increases

Find the length of side x in simplest radical form with a rational denominator X 12

A right triangle has a leg of length a 4 6 in and hypotenuse of length c 5 4 in Find the unknown length Round to the nearest tenth if necessary 0 9 in 2 8 in 0 2 in O 7 1 in None of the other answers are correct

Find the missing length indicated 240 144 K O 144 0256 O 225 O None of the other answers are correct

B D Figure 2 Note that the vertex A is the center of the circle telling us the congruent adjacent sides are the radii of a circle Also we are assuming segments BD and CD are congruent meaning m BDA and m CDA are 90 and congruent 4 2pts each Assume the m BDA 50 find the measure of the following angles a The m CBA b The m BAC c The m BAD d The mBCA e The m CDA

using the Isosceles triangle IN Figure 1 If the Vertex Angles measure 15 Find the measure of the two missing Angles 180 M B

cos C B 9 40 41

What does the notation Ry 3x 1 DAB mean

Describe the possible values of x 27 B A 5 7 2x 2 C 28 F 18 4x 2

Imagine a rectangular room whose floor has dimensions 2 meters by 8 meters and whose height is 2 meters There is a spider in one corner of the room A fly wants to find the location in the room that is as far from the spider as possible The fly thinks that the ocation diagonally opposite the spider is its best bet Calculate the minimum distance the spider would need to travel along the walls floor and ceiling to reach the fly in this ocation Find two locations that are farther yet Be sure that you are considering the minimum travel distance to each location

Find the amplitude and period of the function y 2 cos 5 x amplitude period Sketch the graph of the function y 2 1 1 0 24 y 21 1 T 10 10 5 KIG 3 10 3x 27 5 27x 2 y 21 0 24 y 2 1 10 1 5 1 3 10 B

Find the amplitude and period of the function y 4 sin amplitude period Sketch the graph of the function y 10 A A A NA A 6 5 12 9 6 3 10 y 10 5 5 Anton 3 6 9 12 5 AMA 12 9 6x 3x 6x9 12 5 12 9 6 y 10f 10 3x y 10 5 5 3 6A S X

Consider the following figure 75 S Find x Given Find R mZRST 2x 6 mZTSV 4x 3 mZRSV 75 X Write an equation relating m RST mZTSV and mZRSV in terms of x i

please help find the link of OB 180 A 12 3 E bo D 30 B 180

3 10pts Using the figure below find the measures of the following angles in degrees apieq doost a What is the mZa b What is the mZb c What is the mZc en brit woled snupit ert priau 2390 d What is the m d 8291geb ni zelpris D8Am ert ei terW s e What is the mZe Am srl ei ferWid 01002 U

A designer creates a circular ornament as shown Identify m ADB A 30 P B 110 O mzADB 110 O mzADB 105 O mzADB 95 O mzADB 100 D C

Given that OM ON and XZ BC find m XMZ Z X RM 6x 69 O 23 5 O97 2 O 204 O 72 N 4x 22 B C

2x 5 6x 2x 5 180 2 6pts Using the figure below find the measures of the following angles in degrees a What is the mzUBG tt7rn6rnt7 B b What is the m BUG c What is the m UGB U 3x x 10 MathBits com G

Identify ON M 7x 12 L 23 26 O 12 P N 3x 8

a CD is an altitude of triangle ABC Graph CD above and state the slope b Determine the area of AABC C 10 9 8 B A 7 6 5 4 3

3 4 3 In AXYZ mxy mxz myz 7 If XA is an altitude of the triangle what is the slope of XA 3

degrees a What is the m CAB b What is the m ADB c What is the m DBA d What is the m BAD e What is the m CBA C 38 D

Given Quad ABCD is a rhombus Complete 6 If AD 13 then AB 7 If m 24 25 then mL5 8 If mLDAB 130 then mLADC 9 If m 24 3x 2 and m25 2x 7 then x 10 If m 21 11 If m 2 3y 9 and m 4 2y 4 then y 5x 18 and m25 3x 8 then x D A 7 22 12 st C 4 3 5 B

Finding a side length given the The perimeter of the pentagon below is 11

What is the largest solution to the following equation Round your answer to the nearest Hundredth x 9x 19

1x 34x c What does c need to be in the equation above to complete the square Round your answer to the nearest hundredth Type your answer

a b In the triangle above the cosine of a is 0 625 What is 18

Question 2 20 points What is the slope of the line graphed below 5 4 3 2 1 O 213 332 WIN O 3 7 in 1 2 3

Question 19 5 points Given m BFE 46 m CD x 2 and mEB 5x 10 determine the most appropriate value for x O x 7 2 x 18 X 20 x 44 F 46 C x 2 D B A 57 10 E

Question 3 6 points Consider the following measures shown in the diagram with the circle centered at Point A Determine the approximate arc length of CB e Find the length of the arc intercepted by a central angle of 58 and a radius of 7 cm 7 09 cm 8 13 cm 14 17 cm 80 cm A 58 7 cm B Figure may not be drawn to scale

Question 14 4 points A compound solid is shown You may assume any consecutive sides or faces are perpendicular Using the provided measures find the total surface area of the solid 98 cm 147 cm 198 cm 206 cm 3 cm 13 cm 5 cm 2 cm Figure may not be drawn scale 5 cm 3 cm

Question Find the approximate surface area of a cylinder that has a height of 10 cm and a radius of 6 cm Figure may not be drawn to scale 377 0 cm 568 6 cm O 603 2 cm 1130 9 cm 10 cm 6 cm

Given the circle centered at point A shown in the diagram has an area of 201 square cm determine the approximate length of the radius of the circle 8 0 cm 9 8 cm 14 2 cm 32 0 cm Area 201 cm A x cm B

Determine the perimeter of the polygon shown You may assume that any 2 consecutive sides of the polygon are perpendicular Figure may not be drawn to scale 18 cm 22 cm 26 cm 4cm 2cm 2 cm

Question 5 6 points Consider the following measures shown in the diagram with the circle centered at Point A AC 8 inches m BAC rads Determine the approximate arc length of 50 27 in 39 10 in 18 61 in 19 55 in A Figure may not be drawn to scale

Given the suggested measures in the diagram of the circle centered at point A determine the circumference of the circle Figure may not be drawn to scale 10x cm 25 cm 20 cm 5 cm 8 cm 6 cm B

6 SAT Question Systems of Equations Which ordered pair satisfies the system of equations below Show your work a 3 0 b 0 3 c 6 3 d 36 6 x y 3 X 2y 6

7 Express in simplest radical form 4 120 9 270

3 Express in simplest radical form 68 75 153 27

3 y 4 2 8 6 4 2 Ay 20 18 16 10 8 2 4