Geometry Questions

7 Use algebra to explain why m B m C m D m E C F E

3 Calculating a Heading A woman launches a boat from one shore of a straight river and wants to at the point directly on the opposite shore If the speed of the boat relative to the water is 10 mi h and the river is flowing east at the rate of 5 mi h in what direction should she steer the boat to arrive at the desired landing point See Example 5 from the 5 3a lesson notes Answer 8 120 Direction N 30 W Heading 330 W 0 AN

2 Determine the unknown length Round to the nearest hundredth 60 6 ft

7 During a group hike a park ranger makes the following path How far west did they travel 2 miles 12 N S

4 A boat travels in the following path How far north did it travel N WATE 23 45 miles

5 Determine the unknown length Round to the nearest hundredth V1 1 yd 25

9 Determine the unknown length Round to the nearest hundredth X 5

10 To determine the height of a tree a botanist makes the following diagram What is the height of the tree z

8 A surveyor makes the following diagram of a hill What is the height of the hill 35 2450 ft

6 Determine the unknown length Round to the nearest hundredth 63 3 2 yd

1 Determine the unknown length Round to the nearest hundredth X 2 ft 40

2 Determine the unknown length Round to the nearest hundredth 60 6 ft

marks 2 Nasreen Is pole In order for the ladders to fit in the obstacle course one ladder must span 1 6 m horizontally and the other must span 5 m horizontally She already has one 4 3 m ladder How long must the other ladder be The answer should be rounded to the nearest tenth 4 3 m

R 1 2 3 4 5 S 6 P Q Statement ZQ 2S RS PQ ZQPR ZPRS PR PR APQR ARSP RS PQ 211 Reason Given Given Alternate Interior Angles Theorem Reflexive Property of Congruence AAS AAS ASA CPCTC Definition of congruence SAS SSS

Find the circumference of the circle Leave your answer in terms of 8 yo

Course Contents Week 1 Post Class Circle on a square grid Consider the circle shown in the figure y m 11 10 8 O 0 1 2 3 5 x m What is the diameter of the circle Please notice that the circle passes through a number of grid intersection Incorrect Tries 5 99 Previous Tries Submit Answer 7 8 9 10 11

Consider the triangle shown in the figure y cm 11 10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 x cm What is the area of the triangle 7 8 9 10 11 Submit Answer Incorrect Tries 1 99 Previous Tries

Which radian measure is equivalent to 145 O O O 15 32 29 36 36 29 32T 15

What is the reference angle for the angle with measure 2 0 3 O O k6 25 05 73

The line with equation a 3b 0 coincides with the terminal side of an angle 0 in standard position and sin 0 0 What is the value of cos 0 01 12 O 10 3 10 10 V10

What is the value of cos given that 5 4 is a point on the terminal side of 0 4 41 41 4 41 41 5 41 41 5 41

The line with equation z y 0 coincides with the terminal side of an angle in standard position in Quadrant III What is the value of tan0 Enter your answer in the box

O a Ob O c Od 20 30 40 45 2x 10 3x 10 X

Each pair of polygons is similar Find the value of x 3 12 B A 14 D 26 13 E 7 H F 13 X G 4 W 4 YAX 3 x 5 x 5 A 9 U

In 15 20 Use the figure in which AWXZ ADFG 15 State the similarity ratio 16 mZZ 17 mZG 18 mZD W 3 37 X 4 Z F 6 10

In 1 5 LMNO HIJK Complete the congruence statements and proportions M 1 ZM MN IJ JK 2 ZK a 5 HK HI LM 3 ZN 6 State the similarity ratio

3 8 X 10 y Z Z 12 14 Z X y 15 12 Z

In 7 8 write a similarity statement and state the similarity ratio 7 N B 10 14 12 Similarity Statement Similarity Ratio 7 8 L 18 M Z Similarity Statement Similarity Ratio 12

A In 9 14 the figures are similar setup a proportion then solve for the variable s 9 10 P C A A 5 ft 3 3 ft 6 ft B E X F X S 8 in 5 in R L X X M 3 in N

11 X W Y 1 5 cm Z 4 cm E X G 10 cm H 12 J X M 15 m K L x 6 m P S 9m Q R

In 19 20 Use AWXZ ADFG above set up a proportion then solve for the indicated side 19 FG

COS Let cos x x Identify x Choose the correct graph below OA x y x cos x OA x y X OB O B Let cos x Identify B Choose the correct graph below x y x y Ay C X Ay O C B x y x y X OD x y O D Ay la AY Q x y X

Point S is on line segment RT Given RT x 5 ST 4x 9 and RS determine the numerical length of RT

Sketch a figure s for each description Then write and solve an equation to find the missing value s You must show all work to earn full credit 3 points each 1 ZABC and ZXYZ are complementary angles If mLABC x 13 and mZXYZ 3x 9 find mZXYZ A A 3x 9 2 OM and ON are opposite rays If m NOM 11x 70 find the value of x 3 LSBR and LNBS are adjacent angles If mzSBR 12x 1 mzNBS 42 and m2NBR 17x 8 find m2NBR

9 A B and C are collinear points such that B is between A and C AB x 3 BC 2x 5 AC 4x 6 x 3 X a Write and solve an equation to find the value of x Show all work 5 points

The crankshaft in a race car goes from rest to w in time seconds a What is the crankshaft s angular acceleration b If w 3000 rpm and t 2 0s How many revolutions does it make while reaching 3000 rpm T Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel Powerpoint Publisher Open Office Video MATI AR Quartua Vorilo SUSY CRD

A computer hard disk starts from rest then speeds up with an angular acceleration of until it reaches its final angular speed of wf How many revolutions has the disk made at a time t seconds after it starts up T m Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel

outstretched arm Starting from rest he begins to turn with a constant angular acceleration releasing the discu after making one complete revolution The diameter of he circle in which the discus moves is about d meters he thrower takes a time t seconds to complete one evolution starting from rest what will be the speed of he discus at release T Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel

The figure below shows the angular position of a potter s wheel a What is the angular displacement of the wheel between t 5s and t 15s b What is the angular velocity of the wheel at t 15s c What is the maximum speed of a point on the outside of the wheel 15 cm from the axle 0 rad 75 50 25 0 0 5 10 15 20 t s

Write sine function and cosine function There is no reflection and only phase shift to the right is considered a 270 225 180 135 90 45 k 4 Sine Function 3 2 1 2 3 5 d 45 90 135 130 225 270 315 360 405 C Cosine Function

30 60 90 Triangle Hypotenuse 11 Short leg Long leg triangle 1 triangle 2 Complete the table 5 5 2 2 triangle 3 3 7 triangle 4 4 163 triangle 5 3 5 3

85 2X 09 Find Y

L 7 y

30 10 2X y

6 3 2x 60 y

7 9 6 12 8 14 8 y 1 6 Find value For cach variable X 3 10 10 16 y 1 20 y 4 x 2 8 12 10 J 8 1 10 x 3 x 2 16 y 1 15 10 y 3

Example 2 Given triangle EGH with EF 4 Determine the length of EG and FG E 30 F 813 3 607 413 4 G

2 The altitude of an equilateral triangle is 18 meters Find the perimeter of the triangle Perimeter of the triangle is 108 meters The

3x X 1 60 2X 6 30 1313

Draw an equilateral triangle Draw the altitude of the triangle and label it a Let the shortest side of the right triangle be 1 unit long 2 30 13 Got 1 What is the length of the hypotenuse The length of the hypotenuse is 3 What is the length of a The length of a is 1