Solution of triangles Questions and Answers

State whether AABC and AAED are congruent Justify your answer B by 7 O yes by SAS only O yes by SSS only D DA g O No there is not enough information to conclude that the triangles are congruent yes by either SSS or SAS

Select the correct answer Katie is playing a game using a 26 card deck that contains the black suits of the cards which are 13 clubs and 13 spades She can score bonus points if she draws a face card on her next turn What is the probability that Katie will draw a king queen or jack on her next turn OA OB OC OD 3166 Reset Next

The triangles are similar The area of the larger triangle is 563 ft Find the area of the smaller triangle to the nearest whole number A A 24 ft 21 ft Not drawn to scale O 431 ft 2 2 O 441 ft O 576 ft O 735 ft

Find the values of the variables Note Input answer as a m 89 50 m 64

17 Let E be a point on the side CD in parallelogram ABCD Straight line passing through A and E intersects the extension of BC at point F Join B and E D and F if the area of ABCE is 1 then what is the area of ADEF O A 1 OB 3 2 OC O a N is let m D F

If sin A 4 5 with A in QII and sin B 3 5 with B in Ql find the following cos A B

What is the directional angle of the vector 3 7 Select one Oa 2 33 O b 293 2 C 66 8 O d 336 8

Given the triangle ABC if side a is 40 cm side b is 25 cm and side c is 18 cm find angle C Please round to one decimal Select one a 18 1 b 136 3 c 25 6 d 71 9

T 42 9 5 S Find u round to the nearest hundredth U

Quiz 3 Show all work No Calculator is allowed 1 Graph one cycle of the graph of f Label the intercepts and the high low points F x 5cos 6x n 2

Find the length of side h Select one a a 175 mm 181 mm OC c 171 mm Od 177 mm b b F 124 mm 107 H 42 G

Consider the following curve x 5 X 4 Find the slope m of the tangent line at the point 3 8 m y Find an equation of the tangent line to the curve at the point 3 8 y

Time left 0 54 4 A large totem pole in the state of Washington is 100 feet tall At a particular time of day the totem pore casts a 249 foot long shadow Find the measure of A to the nearest degree Select one a 35 b 45 C 22 d 68 249 ft 100 ft

Find an equivalent value to cos 18 Select one a sin 18 b cos 72 c sin 72 d cos 162

The lengths of the sides of a triangle are given Classify each triangle as acute right or obtuse 8 15 17 8 9 11 3 5 7 Choose Choose Choose

Find the value of x to the nearest tenth 12 Select one a 10 2 b 14 2 c 14 5 X d 10 7 320

Find the missing value to the nearest hundredth sin 5 19 Select one a 15 26 b 74 74 c 14 74 d 55 37

Find the missing value to the nearest hundredth cos 2 5 Select one a 66 42 b 21 8 c 23 58 d 63 21

A rectangular lot is 165 feet long and 90 feet wide How many feet of fencing are needed to make a diagonal fence for the lot Round to the nearest foot

0 1 pt10099 Details A communications tower is located at the top of a steep hill as shown The angle of inclination of the hill is 79 A guy wire is to be attached to the top of the tower and to the ground 94 m downhill from the base of the tower The angle formed by the guy wire is 9 Find the length of the cable required for the guy wire 79 length of guy wire 9 94 m NOTE The picture is NOT drawn to scale m Enter your answer as a number your answer should be accurate to 2 decimal places

1 point 3sin x tan x 3 sin x 0 Find all angles in radians that satisfy the equation For each solution enter first the angle solution in 0 or 0 2 depending on the trigonometric function then the period When 2 or more solutions are available enter them in increasing order of the angles e g x 2 2k or x 3 2 k etc Note You are not allowed to use decimals in your answer Use pi for X or X or V

Use the Unit Circle below to evaluate each trig function Rather than give a numeric value write your answer using the appropriate coordinate label shown in the figure m n o p q r s t kl u v ij w x g h v z e f c d a b o COS sin 3 3T COG 3 sin 5T 6 COS 7 3 4 sin 5T 3

30 Given 21 and 23 form a right angle 21 and 22 are complementary Prove 22 43 Statements 1 21 and 23 form a right angle 2 21 and 23 are complementary 3 21 and 22 are complementary 4 22 23 1 2 3 4 A Reasons D C

Determine whether the triangles are congruent If so name the postulate or theorem that justifies your answer If not T explain U S R O The triangles are congruent by the AAS Postulate O The triangles are not necessarily congruent Not enough information provided O The triangles are congruent by the SAS Postulate The triangles are congruent by the ASA Theorem 27

In the figure AABC ADEF Solve for x X O x 1 5 O x 6 F O x 4 x 5 5 8 B E 160 160 16 3 D C

Convert the polar equation to a rectangular equation r 3cos sin Select one O a None of the above O b x 3x y y 0 O c x 3x y y 0 O d x 3x y y 0

The equation for line s can be written as y x 4 Line t which is parallel to line s includes the point 3 2 What is the equation of line t Ver en espa ol Write the equation in slope intercept form Write the numbers in the equation as simplified proper fractions improper fractions or integers pla

Watch help video Solve for 2 Round to the nearest tenth if necessary 48

16x 8 B m BAT m CAT A degrees T 4x 8 C degrees own below

In the diagram below of circle O GO 8 and m GOJ 60 8 G 60 What is the area in terms of 7 of the shaded region

7 4 A 1 Solve for angle C Show your work 11 6 C B 15 2

13 Find x and y Ke 71 X2 to vita y 80

Suppose triangle ABC can be taken to triangle A B C using rigid transformations and a dilation Select all of the equations that are true O A C AC BA BA B C BA B A AC A C BA CA CB C A C B A B C B AB CB BC B A

Question 1 2 5 Y X Find mZX O 21 04 O22 62 O 67 38 O 68 96 13 12

9 Which angle in AABC has the greatest measure A LA BLB CLC D cannot tell A 5 B 9 C

Use the figure for Questions 11 and 12 11 If ALMN is isosceles and T is the midpoint of LN which postulate or theorem can be used to prove AMLT AMNT A AAA B AAS C SSS 12 If AMLT AMNT what is used to prove 21 22 F CPCTC G definition of isosceles triangle N D SAS 11

Use the proof for Questions 9 and 10 Given L is the midpoint of JM JK NM Prove AJKL AMNL Proof Statements 1 L is the midpoint of JM 2 JL ML 3 JK MN 4 LJKL 5 LJLK 6 AJKLAMNL LMNL L MLN Reasons 1 Given 2 Definition of midpoint 3 Given 4 Alt int s are 5 Question 9 6 Question 10 9 What is the reason for ZJLK LMLN A definition of midpoint B corresponding angles C vertical angles D alternate interior angles 10 What is the reason for AJKL AMNL M 9

Provide the missing reasons for the proof Given CZE Prove AABC ADBE A B K D E

Find the value of y 5 45 05 5 2 5 3 X

4 Find the missing values for the following right triangle SL X H ZA 24 3 30 24 x 3 63 5 1455 2453 7 853 16 3 853 x F

2 AABC is continuously rotated around AB What 3D figure is formed A A cone with a diameter of 5 B A cone with a diameter of 10 C A cone with a diameter of 24 D A cylinder with a diameter of 10 A 12 8 B 5 C

A Not enough information B AAS C SAS D ASA

20 ALMN AQRS L M ZN A ZS C SQ N 2 B ZR D ZQ R

1 translation 1 unit right and 1 unit up D 2 3 E 3 2 F 2 1 G 3 4 A D 0 1 E 1 4 F 4 3 G 5 2 B D 3 1 E 4 4 F 1 3 G 2 2 C D 1 2 E 2 3 F 3 2 G 4 3 D D 2 4 E 3 1 F 2 0 G 3 5

GH is tangent to circle F at point L Find mZGLK 124 58 mZGLK Type an integer or a decimal Do not include the degree symbol in your answer Q

Simplify and write the trigonometric expression as a single trig function sin x cotx cos x Cusmanl

If 0 following 5T 4 sec 0 equals 2 csc 0 equals tan 0 equals then find exact values for the cot 0 equals o

What is the missing reason in this proof Use SAS SSS or ASA E H Statements E is the midpoint of DF DJ FH EJEH DE FE ADEJ AFEH Reasons Given Given Given Definition of Midpoint

A formula for the area of a regular polygon is A 2 length HE a is the where p is the To find missing lengths draw a Then use the Pythagorean theorem or trigonometric ratios triangle using a radius and apothem

What is the answer to clue 5 Enter the value of x only do not include x Clue 5 Given DH EG Solve for x D x E H 5 G 12 10 F x