2D Geometry Questions and Answers

Find the area of the figure Sides meet at right angles 4 in 5 in 3 in 4 in 3 in 5 in 4 in 2 in X

Which segment is the hypotenuse SL EL COSE L S E

Which segment is the hypotenuse O XW UW U X W

Which segment is adjacent to ZB OBE OBD B D E

D JG x 1 H 2x 6 Find NJ N J XI B H

e standard form of the equation of the ellipse with Center 3 1 a 3c foci 2 1 8 1

In the rectangle below RV 4x 6 TV 5x and mVRU 62 Find SU and m SVT R U T S SU m2SVT 0 39

Determine the area green of an isosceles geometry square knowing its width d 3cm and the length of its sides s AB AC 12cm Answer A 70 46cm2 12 2

Given f x x3 Graph g x 2 x 2 2 A C B D

The volume of this rectangular prism is 2 052 cubic millimeters What is the value of r 19 mm 6 mm millimeters

calculate the measure of angle B F 55 N 20 45 DP B 50

1 a Here we see part of the curve given by 2x y sin Find the tangent line to this curve at the point 1 1 X 2 b Let y a b be any numbers Show that at any point where the curve xy a ntersects the curve x y b the two curves are perpendicular on gach other

Find the intersection points of the parabola y 2x x 1 and the line x y 3 Give your answer as two ordered pairs separated by a comma For example if you found that the solutions were 1 2 and 3 4 you would enter 1 2 3 4

The diagonal of a square measures 17 units We want to find the perimeter of this square 20a First find the exact side length S of the square with a rational denominator 20b S 17 2 Hence find the perimeter of the square Perimeter Enter your next step here

Consider the triangle below 9a Find the exact value of b 18 b 45 C

Consider the triangle below b a 10 60

Consider the triangle below a Find the exact value of b b 11 2 45

Da The diagonal of a square measures 17 units We want to find the perimeter of this squal First find the exact side length S of the square with a rational denominator

4 Which pair of angle measures would NOT allow you to calculate each of the angle measures of the inscribed quadrilateral

4 Right triangle GHL has mLL 90 HL 1 and GH 2 Draw the triangle then identif below i ii sinH tanG cos H

2 Write the following trig ratios for the triangle below Simplify your ratios a sin A b cos C c tan A C f d tan C e sin C cos A C 34 A pien 30 16 B wris

What is the volume 1 mm 2 mm 2 mm cubic millimeters

What is the volume of this cylinder Use 3 14 and round your answer to the nearest hundredth 10 mm 10 mm cubic millimeters

Find the measures of the lettered angles 4 57 d e f g 2 A 5 in 21 22 p m 180 180 185 1454 n 3 M 2 6 b 80 20 m21 21 22 m42 20 11

FAST WORKERS Find the missing angle measures in the triangles below 65 40 57 85 50 20 130

1 For the function y x 8x 12 a b d e f g Partial credit will be given as warr A scale must be shown on each axis of each graph Follow the directions for each part of the problem precisely x Does the function open upward downward Write the y intercept as an ordered pair Use quadratic formula to determine the x intercepts and write as ordered pairs b nac 20 Write the y in 6 201 leath anored pa Write the function in vertex form by using the vertex formula 3 0 12 Write the vertex as an ordered pair Write the axis of symmetry X Sketch the function Label the vertex and intercepts on the graph

1 Use the triangle below to answer the following questions Hint Draw an arrow to visualize Which side is across from angle B A Which side is across from angle A Which side is across from angle C KEY UNDERSTANDING B C

5 In AEAC determine the following sin E cos E tan E sin C cos C E 2 A 45

1 In the diagram above of AJKL JL 7 KL 2 Determine the following ratios Write your answers in simplest radical form J sin L cos L sin K

YOU DO ROUND 1 1 In right triangle DEF below FE 3 and DE 4 Determine sin D a b cos D C tan F E LL F

3 In right triangle ABC below which of the following ratio s is greater than 1 a sin A b sin C c tan A d tan C A 15 17 B 8

4 Cassie simplified the composed function f x cot arcsin x Her work is shown below 1 point Step 1 f x cot A where A arcsin x and x sin A Step 2 sin A opposite X hypotenuse 1 Step 3 adjacent 2 1 2 Step 4 cot A opposite adjacent X In which step did Cassie make her first error Review Guidelines If you guessed the answer to this question or did not answer it correctly go back and review composition of functions C 0 pts step 1 C 0 pts step 2 X 0 pts step 3

A cylinder has a volume of 1in and a radius of in What is the height of a cylinder Approximate using inches inches inches

2 In the figure JKLM EFGH Complete the following table E y H Value of x Value of y 8 Scale factor of JKLM to EFGH Value of 2 3 G 11 F 20 K X Note i Figures not drawn to scale ii Use slash to separate numerator and denominator wherever needed 30 L Z

6 The following image shows four polygons Select all of the figures that are scaled copies of polygon ABCDE B D A K E A polygon KLMNO B polygon PQRST C polygon FGHIJ E N 0 6 Q P S

1 The two figures are proportional Find the value of x A 24 in B 40 in 12 in D 30 in 36 in X 12 in 10 in

If the following shapes are similar then find the measure of the missing length g Type your result in the empty box provided below 12 in 6 in Note Figure not drawn to scale inches 1 in

Examine the pair of triangles given below If AEDC AKGH then the value of ZK is H E 56 C 34 G K

onsider the following figures in which AABC ADEF Find the scale factor of AABC to ADEF in both figures shown below Figure 1 B B 15 Figure 2 A Scale factor 10 18 16 Scale factor 20 2 5 0 4 12 C C E E 25 A 10 40 12 50 8 F

estion 4 Multiple Choice Worth 2 points lume of Cylinders MC denton Bakery is baking a cake for a customer s qui hes

The two rectangles are similar Find z 24 14

Suppose a company has a water cooler cooler that is currently holding 470 cubic inches of water They have paper cone shaped cups each with a height of 3 inches and a diameter of 3 inches How many whole cups can be filled to full capacity before the water cooler is empty Enter your answer as a whole number

44 13 2 Show your work here are similar Find 7 7 2 136 n

Given AABC ADEF X 3 B A 2x 1 C E 4 6

Given the similar quadrilaterals 116 73 6 What is the value of y A 166 B 189 C O 134 D 93 619 116 5

Find the missing length indicated k O 100 O 400 O 144 O 169 192 X 256

Find the values of x y and z 8 16 O x 32 y 16 5 z 8 5 Ox 24 y 18 z 16 Ox 24 y 9 6 z 6 15 O z 28 y 12 6 z 8 3 O None of the other answers are correct

Find the missing lengths 0 5 2 O 20 O 15 O 15 2 45 60 10

Find the missing lengths O 11 6 2 O 22 2 O 22 3 O 22 3 11 50 45 X

Find the missing length indicated 65 25 O 144 O 200 O 289 O 169 X