Solution of triangles Questions and Answers

What is the value of the star and the heart in Clue 4 Enter the star then the heart with a comma in between Do not include spaces i e a b Clue 4 Determine the values of a and b in this triangle Record the value of each shape The lock will ask for two or more values 45 2 6 a b

What is the value of x in clue Enter the value rounded to the nearest tenth X

Match each line ray or segment with the term that best describes it E Radius Chord Diameter Secant Tangent IIII

rapezoid RSTU is a cross section of a lampshade The diagonals of RSTU are congruent and the measure of ZS is 112 What is the measure of U 112 R S ZU U

Give the value of each trigonometric ratio R 39 36 cos R Cos S sin R S 15 T TIT 15 36 36 39 36 15

Determine whether each statement is true or false U QT SU R RT RU T 1 27 m RQT m RSU S True O False

Find the value of x X 24 14 S 7 R X

Which of the following trigonometric ratios are correct b A 40 Ocos 40 cos 40 sin 40 sin 40 tan 40 X b a X 64 b X X b X tan 40 X a 33

5 Find the measure of the indicated angle to the nearest degree a 64 c 24 b 66 d 19 45 101

What is the area of ACDE 10 8 Area Submit 6 D 4 2 104 square units 8 6 4 0 2 4 6 8 10 2 4 6 8 X 10 E C

7 8 Figure C 13 89 Figure D 10 08 5 1 11 Q 13 X 11 50 8 6 X

7 A right triangle is shown I 60 Find the values of a and y x y Y Round your answer to the nearest tenth If necessary When findin 12 or calculator set to degrees On the ember alculator click the Wrench icon Graph

B 51 71 35 51 32 97 55 66 Similar using AA similarity 70

2 In the image below ARAT is similar to APIG A A RA RT PI PG AT RT IG IP C ZA B 6 ZI Select all of the statements that are true D LG LI 8 1 R 4 T 7 5 10 E The scale factor from ARAT to APIGE 10 5 P 5 G

Order the angle measures mZE mZF and m G from least to greatest Note that the figure is not drawn to scale 9 F 8 7 E

Select the sides to complete the proportion statement from the drop down menus Complete the proportion statement to show that ABCDE IHGFJ B C F AB BC IH GEO DE JI

he correct answer from the drop down menu A With reference to the figure sin x B BC 17 89 DC 16

11 c 2x 0 7 38 56 II In the figure a b 170 Calculate p 44 3x

Type the correct answer in the box COSA In this triangle cosB A 4 24 3 90 B 3

II In the figure b c 170 Calculate p 16 P a

Select the correct answer from each drop down menu 15 In AABC mzB 90 cos C 17 and AB 16 units and AC Based on this information mzA am C Note that the angle measures are rounded to the nearest degree Cur

Solve the equation sin x 20 cos 42 for x where 0 x OA 22 OB 62 C 28

A C and cos CPN P y In the diagram PN is the perpendicular bisector of AB and the angle bisector of CPD sin BPD B

Select the correct answer from the drop down menu A 45 B 90 45 C

Question 43 Points 1 Similar right triangles have the same O size O shape Omeasures Ocolor

The period of this function is EIN 2x AM 2

AABC is an isosceles triangle segment AB and AC are congruent AAPQ is isosceles which means line segments BP and QC are congruent Which of the triangles in the following figure are congruent O AABP and AAQC O LABC and LAPQ O AABP and AAPC O AAPQ and AAQC ator Complete

Question 26 In the figure AB DE Find the measure of zz C A D 65 X O 40 Z O 50 O 60 Points 2 O 70 65 Y E B

Points 2 Question 22 Find the unknown angle if the four lines cut by the two transversals are parallel 65 65 O 115 180 360

In right triangle ABC A and B are complementary angles and sin A What is cos B Select one 0 cos B 1 2 O b cos B 12 Occos B O d cos B

Challenge 2 A ski lift forms a right triangle as shown Use the Pythagorean Theorem Theorem 9 1 to approximate the horizontal distance traveled by a person riding the ski lift Round your answer to the nearest whole foot 1170 ft 5750 ft

Find the value of x Leave your answer in simplest radical form X 13 11 Select one O a 4 3 O b 8 6 O c 24 2 O d 16 3

lect one a arc length of major arc ABC 28 2 b arc length of major arc ABC 27 5 Ocarc length of major arc ABC 29 1 Od arc length of major arc ABC 28 6 1 What is the arc length of major arc ABC 8 D 1972 B C

AABC has vertices at A 3 4 B 2 1 and C 3 8 The longest side of AABC is units and AABC is a triangle Select one O a 8 6 scalene O b 11 5 scalene Oc 11 5 isosceles O d 8 6 isosceles

Find the area K of the triangle K square units

II A parallelogram lot has an interior angle of 36 and a height of 3 m 1 Find the length of the side in ft a 0 7 b 7 c 17 d 27 2 Find the area in sqf a 289 b 729 c 49 d 5 3 Find the area of the triangle in sqf a 55 b 66 c 77 d 88 III A right trapezoidal wall has an angle of elevation 30 the smaller height the base lengths 8m with an area of 40sqm 1 Find the smaller height in m a 2 7 b 2 8 2 9 d 3 2 Find the larger height in m a 7 2 b 7 3 c 7 4 d 7 5 3 Find the perimeter in m a 22 9 b 23 9 c 24 9

21 In parallelogram PQRS QP is extended to point T and ST is drawn S R 1 130 2 80 P If ST SP and m R 130 what is mZPST 3 65 4 50 T

Mei and Anju are sitting next to each other on different horses on a carousel Mer s horse is 3 meters from the center of the carousel Anju s horse is 2 meters from the center After one rotation of the carousel how many more meters traunlod than Aniu

15 The graph shows a transformation of the function f x sin x 30 35 20 5 0 5 B y 25 sin y 50 sin 15 10 If g x represents the transformed function what is the correct equation for g x A y 25 sin 2 10 7 5 y 50 sin 5 10 15 30 10

The medians of APQR are PT QU and RS They meet at a single point V In other words V is the centroid of APQR Suppose QV 10 RS 39 and VT 10 Find the following lengths Note that the figure is not drawn to scale A P S U Q T R PV 0 QU VS

Which of the following constructions must you know how to do in order to construct a circumscribed circle for a given triangle duplicating a line segment inscribed quadrilateral perpendicular bisector angle bisector

Question 10 Triangles ABC and DEF are similar If B 113 and C 41 find the measure of 2D in the triangle DEF O 26 O 11 O 36 Points 2 O 16

Question 8 If the given triangles are similar then find the missing length A 24 O 14 O 12 34 C Points 2 30 18 BD F 9 15 E

4 17 mi 16 m 17 m 5 D X 25 4 m 9 6 m 12 m

Determine an equation for the sinusoidal function given 2 45 0 M 135 180 225 270 315 360 45 J 9 0

X 12 Solve for X Y 13 Y Round to the nearest tenth X 30 degrees Y 60 degrees X 67 4 degrees Y 22 6 degrees X 60 degrees Y 30 degrees X 22 6 degrees Y 67 4 degrees

8 1 point B 48 b C a 3 2 a 3 3 46 If c 6 solve for a a 3 a 6

Note I means perpendicular A Given AC LBD and C is the midpoint of BD Prove A ABC ADC B C right angles 3 4 Statements AC LBD C is the midpoint of BD ZBCA and LDCA are D AC AC A ABC A ADC Reasons 1 2 Definition of perpendicular All right angles are Definition of Bisect 5 6 Which choice belongs in space number 3 LABC LADC A BCAA DCA OZBCARGA

6 1 point A B C E Which angle is congruent to angle B Angle E Angle D Angle F Angle C

Which of the following types of angles are congruent Corresponding Complementary Supplementary Linear Pair