2D Geometry Questions and Answers

Identify all possible proper subset relationships that occur among the following sets A x x 5n 2 NEN B x1x 10n 2 NEN C x1x 20n 2 nEN Select all of the proper subsets given the relationships above A BCC B ACC C CCA D CCB E ACB F BCA

GEOMETRY Word problem involvin 2 ft ladder leans against t necessary round your ans

12 Transform the function f x sinx into f x 3 sin x 30 1 for one period Use the 5 critical points

Find the length of the third side If necessary write in simplest radical form 9 10

Classify each figure as a line ray or line segment Then show how to write it a b c F Figure A D B E Type line ray O line segment line ray O line segment O line O ray Oline segment How to write it 7 7 GREETE 0 8 X 10

A picture is in the shape of a rectangle It is 9 inches long and 8 inches wide What is its perimeter inches X

Identify the angle of depression 4 02 03 04 01 1 2 3

In the figure below mz3 34 Find m 1 m 2 and m 4 4 X 1 3 2 m 1 m2 2 m 24 O 0 O X Espa ol

In the figure below mz1 62 Find m 2 m2 1 62 Find m2 mz3 and mz4 1 3 2 m 2 O 3 O m2 3 m 4 O X Espa ol

15 Describe the similarity transformation that maps the preimage to the image

14 Reflect the triangle with vertices D 4 1 E 2 3 and F 1 1 over y x 2

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