2D Geometry Questions and Answers

Are the two lines parallel perpendicular or neither Graph 1 Parallel Perpendicular Neither Graph 2 Parallel Perpendicular Neither Graph 3 Parallel Perpendicular Neither Graph 4 Parallel Perpendicular Neither X

Are the triangles below acute obtuse or right Triangle A 30 O Acute Obtuse Right 60 Triangle B 30 Acute Obtuse Right 110 40 Triangle C 35 15 Acute Obtuse Right 30 Triangle D 60 60 O Acute Obtuse Right 60 Espa ol Aa K

3 AMNP AQRP find PR M N 24 x 8 P 3x 9 28 R Q

M O P L N Line segment ON is perpendicular to line segment ML Line segment OM 17 units in length line segment PN 3 units in length What is the length of chor Round your answer to the nearest hundredth Type your answer

1 1 point B C O A Ifm CBA 15 92 what is the m COA Round your answer to the nearest hundredth Type your answer

1 point G D F E Angle G is a circumscribed angle of circle E Major arc FD measures 218 What is the measure of angle GFD to the nearest degree Type your answer

D M A C B Points A B C and D lie on circle M Line segment BD is a diameter If mZAMC is 49 2 what is m ACD Round your answer to the nearest hur Type your answer

Find the value of each variable 11 x 13 y y 15 x y 10 0045 IM 11 3 60 y 32 X y 60 X

A circle with a radius of 14 yd is shown Answer the parts below Make sure you use the correct units in your answers If necessary refer to the list of geometry formulas 14 yd a Find the exact circumference of the circle Write your answer in terms of Exact circumference b Using the ALEKS calculator approximate the circumference of the circle To do the approximation use the button on the calculator and round your answer to the nearest hundredth Approximate circumference 0 00 B yd yd yd X

Find the value of x 30 120 X O X 0 Espan X

Find the value of x 71 X O 33 X

In the figure below mz2 45 Find m 1 1 2 m 1 0

Find une missing side length Assume that all intersecting sides meet at right angles Be sure to include the correct unit in your answer 15 ft 8 ft 9 ft 7 ft 0 ft X ft ft

11 At a point on the ground 50 meters from the foot of a tree the angle of elevation to the top of t measures 48 Find the height of the tree wir 12 A tourist in Washington DC stands viewing the Washington Monument from a point on the ground 924 feet from the base of the structure The angle of elevation to the top of the monument measures 31 How tall is the Washington Monument

Classify the four angles of the quadrilateral B A 60 90 140 C 70 D LA B 2C LD Right Acute Obtuse O O Es

1 In the diagram of isosceles trapezoid ABCD below mzA 4x 20 and mzC 3x 15 What is mzD A B D 4x 20 3x 15 C

1 Which statements describe the altitudes of triangles Select all that apply An acute triangle has altitudes inside the sides of the triangle A right triangle only has two altitudes An obtuse triangle has altitudes along the gs of the triangle The point of concurrency for a triangle s altitudes is called the orthocenter

D Triangle ABC and DEF are isosceles triangles BCA 45 58 Find ZABC and ZDEF D 45 1 ZABC 2 ZDEF E 589 0 F

Graph Jy 4m 1 y 2 5 4 3 Clear All Draw S 4 3 2 1 2 3 4 5 CH 4

Find the average rate of change of the function f over the given interva f x 0 25x x2 5x 9 from x 6 to x 8 051 59 043 036 33 045 75 068 17

13 Given WOSB is a parallelogram 23 24 MW SN Prove IM LN Statements B Reasons M L W

4 Given CF CE CF ED F ECD Prove CDEF is a parallelogram Statements 1 G C 2 AFCE is isosceles 3 CEF 4 LF LECD 5 ZCEF ECD 6 CD EF 7 CF ED 1 2 3 F Reasons Liven 4 Liven E D 5 Transitoe Property 7 Given 6 Alt interior L S converse one Par OF OFF

10 Given BE EC Is Explain BD bisects ZABC BE ED AD B DC A 1 2 MathBits com 3 D E C

The diameter of a circle is 20 meters What is the area of a sector bounded by a 108 arc 108 d 20 m Give the exact answer in simplest form square meters

5 E 92 410 A G 570 B 92 a Yes no these triangles can can t be proved similar b Yes by what Show work OR They are not similar because C c Similarity statement example Triangle Triangle

L 65 J 65 b Yes by what Show work M 50 K a Yes no these triangles can can t be proved similar OR They are not similar because c Similarity statement example Triangle Triangle

In circle J KML is highlighted KL measures 135 K 15 in 225 8 135 J M What fraction of the circle is highlighted Simplify your answer L Which expression represents the length of KML in inches 30 30 8 225

3 Consider three points 21 y1 2 92 and 3 93 in a 2D plane where 2 22 and 23 are distinct Show that they lie on some curve with equation y a br cr2 for some scalars a b and c

it sells 125 boxes per day The company is considering two new designs for the boxes In Box A the donuts lay flat while in Box B the donuts are stacked on their sides Both designs use the same material which costs 0 35 per square foot 1 5 in 10 5 in 1 5 in 10 5 in 7 in 3 5 in 3 5 in 7 in 14 in Box A Box A 1 5 in 3 5 in 9 in Box B Which design would cost the shop less Box B To the nearest dollar how much less on average would it cost the shop ner T Time elapsed 00 04 HR MIN SmartScor out of 100 C

1 Sketch the tangent line to the curve at x 2 and estimate the slope 5 5 0 5 5

Part 2 of 4 et P Z 0 42 P Y 0 40 and P ZnY 0 19 Use a enn diagram to find a P ZnY b P Z UY c Z UY and d P ZNY a P ZnY 0 37 Type an integer or a decimal P Z UY Type an integer or a decimal CODES

U R 20 What kind of polygon is RSTU Select ALL that apply

10 4 R 8 40 Which of the following statements is not true Am S m T B ORS QT 8x D The slopes of RQ and ST are equal The slopes of RS and QT are opposite rocinmonla

ERROR ANALYSIS Describe the error in finding the length of bar AB AB 1 4 5 3 5 Should have taken the absolute value Should have measured to hundredths Should have lined up ruler starting at O Should have subtracted 5 5 instead of 4 5 The actual length of the segment is centimeters

Figure shows a circle with center C and a right triangle AEF The two sides of the triangle AE and AF are tangent to the circle at points D and B respectively Select the answer that provides the value of the angle E 000 35 145 215 125 D A 35 B F

Topic Triangle angle sum Write an equation and solve to find the value of x in each triangle 19 20 21 ideh 45 110 3x 2 39767 36 67 igy 22 x 5 2x 4 2x 2 x 18 x 32

10 points Find m BDC B 95 75 79 43 41 C T 63

3 What is the measure of a 180 arc if the radius of the circle is 12 miles

2 If the radius of a circle is 27 inches circumference use 3 14 what is the for pi

What is the correct definition of cubic unit A unit Squares within a shape A cube with edge lengths of 1 unit that is used to measure the volume of solid figur The amount of space in a closed figure

Find the domain and range of the function shown in the graph NOTE If you do not see an endpoint assume that the graph continues indefinitely in the same direction EZZEER T a Using interval notation state the domain of the function b Using interval notation state the range of the function For interval notation use U for union to combine intervals Example 00 2 U 4 00 Enter DNE for an empty set oo for Infinity

cards are drawn without replacement from an ordinary deck Find the probab n that the first is a king probability is plify your answer Type an integer or a simplified fraction

Which two triangles are congruent by the AAS Theorem Complete the congruence statement Y A Z A E D F R Q S

Find the orthocenter of AABC A 0 0 B 7 0 C 7 2 The orthocenter is Type an ordered pair

ppose n A 14 n B 32 and n A U B 35 Use a Venn dia nd n An B An B

Question 12 8 2 34 a Venn diagram to answer A 7 n B 9 and n An B 2 what is n A U B U B IH

The diameter of a circle is 12 centimeters What is the length of a 120 arc T 120 Give the exact answer in simplest form ojo d 12 cm centimeters

tion 6 12 5 points Determine the approximate area of the concave figure shown FD 10 cm CD FE 4 cm You may assume that the figure excludes two semi circles one centered at Point A and the other centered at Point B Figure may not be drawn to scale 40 2x cm 20 2x cm 40 4x cm 20 8x cm OC 10 cm D

Question 4 15 points What is the approximate sector area of a sector defined by major arc BDC i e the shaded region mZCAD 62 BD 9 cm Figure may not be drawn to scale 38 0 cm 42 8 cm 43 8cm 171 1 cm A 62 9 cmn

om courses 18298 assignments 2701412 module item id 7542443 Examine the diagram and information to answer the question Parallelogram EFGH has vertices at B 1 3 F 0 2 G 4 0 and H 5 1 3 F E 2016 StrongMind Created using GeoGebra How many units is the perimeter of parallelogram EFGH 0 8 5 H