2D Geometry Questions and Answers

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

4 A boat sails 3 km South then 10 km Southeast Use trigonometry to find the boat s distance and bearing from its starting point 6 marks

Which trig function would you use to solve for x 40 A 19 O sin 40 O cos 40 O tan 40 19 19 19

Side 2 is adjacent to angle X 3 1 X

For each triangle check all that apply 7 Triangle A 10 Scalene Isosceles Equilateral 4 7 Triangle B 8 Scalene Isosceles Equilateral 8 18 Triangle C 18 Scalene Isosceles Equilateral 18

In ATUV TU wx Given that WT 21 VW 12 and VX 16 find XU T W V X U XU Espa ol X

3 Scale Factor Question 6 58 NOP WXY Use the dropdown menus to select the correct answer for each question W 0 N Z 4 4 49 a m X Select b m W Select c m P Select d m2Y Select 9 P 10

Starting with the graph of a basic functi

Watch help video Point G is on line segment FH Given FG 5x 2 GH 3x 1 and FH 9 determine the numerical length of FG Answer FG Submit Answer

Domain Range f 3 D 1 01 4 3 2 1 Domain Range 2 1 0 f 2 1 2 3 4 5 2 3 2 Domain Range f 2 0

The masses m are located at the points P Find the center of mass of the syste m 1 m 8 m3 6 P 2 6 P 3 7 P3 5 2 T y

Given the equation 3x 4y 4 first identify the slope 4y 4 first identify the slope Then identify the y intercept give your answer as a point x y Now drag the points on the graph to create the line for 3x 4y 4

X y 2 Given Find x and A X A ABCD EC ED 2y 10 D A D a 2x 10 A 5x 2 3 Given Rectangle ABCD AE x 2 and AC 3x 1 C E 40 x B y 10 b B C D

Find proj u and scal u by inspection without using formulas proj u Type your answer in terms of i and j COLL 10 88

www awu aleks com alekscgi x GEOMETRY Word problem involving A ladder leans against the side length of the ladder If necessa

Point Q with coordinates 4 7 is rotated 270 clockwise about 5 1 What are the coordinates of its image

side length giver The perimeter of the rectangle be Write your answer without variab

In the figure below m Find x x 0 135 to X 39 3

The figure shows parallelogram ABCD with diagonal AC Complete the two column proof to prove that opposite angles ZA Statements Quadrilateral ABCD is a parallelogram AB CD Opposite sides of a Alternate interi

What is the measure of Arc CB 60 B 84 O 60 O 90 O 67 D

f x 4x12x 5 a Express fin standard form f x b Find the vertex and x and y intercepts of F If an answer does not exist enter DINE vertex x y intercepts x y 1 x y x y 1 intercept c Sketch a graph off CO Mo Pols 41 PE smaller x value larger x value 35 20 15 Graph Layers All you d aus Graph properti

Question 6 14 3 points Consider the following measures of the segments shown in the diagram AB 6 cm DC 9 cm Figure may not be drawn to scale Determine the length of the segment AC 3 cm 3 2 cm 3 5 cm 4 cm B 9 C X

14 From the top of a 108 foot lighthouse the angle of depression of a boat at sea is 27 Find the diagonal distance from the boat to the base of the lighthouse to the nearest foot

15 A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day Find to the nearest degree the angle of elevation of the sun at this time of day

age below to answer the questions to the right E