2D Geometry Questions and Answers

3 Given the function f x 1 2 x 3 2 sketch the graph of y f x

Given the function y 3 tan determine the interval for the principal cycle Determine the period Then for the principal cycle determine the equations of the vertical asymp coordinates of the center point and the coordinates of the halfway points Sketch the graph ine interval of the principal cyce is Type your answer in interval notation Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression X The period is Simplify your answer Type an exact answer using a as needed Use integers offractions for any numbers in the expression The equation of the left vertical asymptote of the principal cycle is and the equation of the right vertical asymptote is Simplify your answers Type equations Type exact answers using z as needed Use integers or fractions for any numbers in the equations The coordinates of the center point of the principal cycle are Type an ordered pair Simplify your answer Type an exact answer using a as needed Use integers or fractions for any numbers in the expression The coordinates of the left most halfway point of the principal cycle are Type an ordered pair Type an exact answer using x as needed Use integers or fractions for any numbers in the expression The coordinates of the right most halfway point of the principal cycle are Type an ordered pair Type an exact answer usings as needed Use integers or fractions for any numbers in the expression Identify the graph of the principal cycle of y 3 tan x Choose the correct graph below OA OB Q C OC G OD Q G

9 8 7 6 5 4 3 24 1 y X 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 24 3 4 5 5 6 7 8 9 Write an equation for the ellipse graphed in standard form

2 The square below has sides of 2 cm What is the radius of the circle

1 A 6 foot tall mirror is leaned against a wall at an angle A 5 foot tall mirror is leaned against the same wall at the same angle Are the triangles formed between the mirror and the wall congruent 6

of unit test Right Triangle Based on the figure select all true equations 48 A Check all that apply b cos 42 b c cos 48 b c sin 42 b c sin 48 b c tan 42 b a tan 48 a b B a C

What is the area of triangle ABC Hint Area 1 2 Base x Height 60 A Mark only one oval 613 square units 1813 square units 3613 square units O72 3 square units C D 12 60 B

estion 14 t yet swered rked out of 0 Flag estion Which of the graphs below is the graph of the polar equation r 6 sin 60 whe Select one a 5TT 6 TT 10 7STT 6 2TT 3 4TT 3 1012 10 3TT 2 TT 3 5TT 31 TT 6 0 10 11TT 6 20

f The point in the graph below rep 7 C

1 d out of Review the video on binomial probability and scroll to

Place the steps in order below for solving the equation 4 x 7 12 28 Add 7 to both sides III 111 III III Check your solution Divide both sides of the equation by 4 Square both sides of the equation Subtract 12 from both sides

mplify the following expression 54x12y13

8 Simplify the radical Give the EXACT answer in simplified radical form 8 55 20

Previous Solve the following radical equation x 10 8 X

Geom Unit 48 CFA 22 23 Sadat Nazhat Use the right circular cone to Which of the following figure

The circle has a central angle of 56 as shown in the lagra A A B 56 What is the length of minor arc AB D 56 45 112 45 4 in C304 45 28 45 B inches inches inches inches

In triangle ABC D is the midpoint of segment AB and E is the midpoint of segment AC If AB is 14 AC is 20 and BC is 18 units long what is the measure of DE

A cone and a cylind What is the volume A 100 cubic feet

50 Find the value of sin 320 to four places A 0 7660 B 0 7660 C 0 6428 D 0 6428

46 How far is the point 3 6 from the origin A 3 B 9 C 3 3 D 3 5

30 Find the smallest negative angle coterminal with 250 Use degree measure 20 A B 270 C 110 D 610

Find the measure of all the numbered angles 1 2 7 3 8 9 4 10 5 6 H BK10 B 80 8 ol E G Points A B C D E on 00 diameter AD tangent EF mAB 30 mBC 70 90 DE 50 Find

21 Givencos 6 1 find sece A 1 B 1 C 0 D undefined

Find the value of f correct to two decimal places 40 f

A helicopter is flying at an altitude of 222 meters at an angle of depression of 43 to its landing pad What is the distance d betwe the helicopter and the landing pad Round your answer to the nearest whole number 43 d 222m Landing Pad

Use the tangent ratio to find the size of the angle marked y correct to the nearest degree 68 7 cm 71 7 cm

n the diagram the slide casts a shadow 6 84 m along the ground The distance between the tip of the shadow and the top of the slide is 9 94 m Find the value of 0 to two decimal places 9 94 m 9

12 Consider the triangle in the figure If sin 0 13 13

Find the value of h correct to two decimal places 55 21 mm

4 x 1x 4x 17 The coordinates of the vertices for rectangle ABCD are A 2 4 B 6 10 C 9 8 and D 5 2 4x What is the length of a diagonal AC or BD of the rectangle A V13 B 52 C V60 D V65 336 2 2 X 97 35322 T A ut D B 1 2 3 4 5 6 7 8 9 10

If I is the length of the ladder in meters find I to two decimal places 2 17 m

and the value of tan 0 within AABC A 70 a 0 30 17

Find the area of AABC to the nearest tenth if necessary B 27 a 14 9 cm c 18 6 cm 31 5 cm O 125 8 cm 138 6 cm 62 9 cm

Evaluate cos within AABC Express your answer as a fraction 10 8 A 8

Draw an angle with the given measure in standard position 45 O y y X

Determine whether each triangle should be solved by beginning with the Law of Sines or Law of Cosines Then solve the triangle A 3 6 4 B cosines A 26 B 117 C 36 Ono solution cosines A 36 B 26 C 117

Find the area of AABC to the nearest tenth if necessary A 17 4 b 12 km c 14 km 25 1 km2 O 12 6 km 84 0 km O 50 2 km

Draw an angle with the given measure in standard position 580 y X X W

Solve each triangle Round side lengths to the nearest tenth and angle measures to the nearest degree A 72 a 8 c 6 OB 62 C 46 b 7 5 OB 72 C 36 b 12 5 OB 46 C 62 b 7 5 OB 134 C 8 b 7 9

5 rotation 90 counterclockwise about the origin Z Ay x

Write a rule to describe each transformation 2 M K 4

1 Archaeologists recently discovered what appear to be the ruins of an ancient ceremonial temple complex They mark the intact walls as solid segments any walls that have crumbled they mark as dashed segments Before excavating the site they need to construct an accurate scale drawing or model so they generated this drawing of the ruins They note that AB DF and DEL EF 19 5 ft AO B 22 5 ft S 72 ft 78 11 a AABC appears to be the ceremony preparation room and ACDF appears to be the room where the ceremonies were held What appears to be true about these two triangles Prove your hypothesis

Find the coordinates of the vertices of each figure after the given transformation 3 reflection across the x axis Ay R A S 2 5 R 5 3 7 2 1 C T 0 5 S 0 1 R 3 3 B T 1 2 S 5 2 R 3 5 D S 2 5 R 5 3 T 2 1

7 dilation of about the origin of 7 1 2 Ay E F A D 0 25 0 E 0 5 0 25 F 0 5 0 25

The graph below represents the logarithmic function y log x 1 02 Select one True False

Write the equation of the blue graph line using the form 5 4 3 3 1 2 1 1 2 3 4 5 1 Preview 2 w y mx b

What is CD D M A 6 4 10 3 B N

Find a function of the form ya A sin kx C or y A cos kx C whose graph matches this one 6 6 5 4 9 2 Leave your answer in exact form if necessary type pi for

M T 10 If m RST 3x 17 m STR 8x 32 and m TRS 2x find m RSN S R N

10 9 8 Click twice to plot each segment Click a segment to delete it 6 5 4 3 2 1 10 9 8 7 6 y 5 4 3 2 1 L 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10