2D Geometry Questions and Answers

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

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

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

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

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

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

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

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

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

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

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

3x X 1 60 2X 6 30 1313

1 Roof trusses often use right triangles to make a flimsy 2 x 4 more rigid to hold up the weight of the roof A house is 40 feet wide and the roof is an isosceles triangle with base angles of 30 How far is it from the bottom edge of the roof to the peak Round your answer to the nearest tenth

Find the value of the variable c if Y is between X and Z on a line segment XY 2c 1 YZ 6c XZ 81

2 Find m H and mZJ Round to the nearest hundredth 13 H 12

4 Find RP and KR to 2 decimal places 55 K 4

8 ARST is shown not to scale Is RS greater than less than or equal to ST Explain how you know 9 True or False Give a reason for your answer R S 35 T

Step 1 of 4 The relationship between csc 0 and sin 0 is csc 0 Step 2 of 4 Since sin 0 Step 3 of 4 1 csc 0 0 1 The figure above shows that in the first quadrant sin 0 sin and we are given csc 0 2 it follows that sin 0 Submit Skip you cannot come back 1 2 when 0 The only other quadrant where sin 0 is positive is the Select adrant second third fourth sin 0 1 and thu

Since sin 0 1 CSC 0 and we are given csc 0 2 it follows that sin 0 2

9 Translate the grasshopper right 4 and up 3 Ty pre image 2 2 4 2 0 20 4 X

If we rotate Triangle ABC 180 about the origin where would B be located 6 A B 5 5 1 5 1 1 5 1 5 O 2 2 2 3 4 5 6

ca uzsferinde birer time oslu ifade yaz l olan beg tane balon g rsel verilmi tir Yuna bo balorardan da ve en b y k olan iki ifadeyi topluyor Buna g re Tamarin buldugu ponu a a dakilerden hangisidir B 17 AL A 3x 14 Yan ap r olan emberin evre uzunlu u 2 dir A a da kareli zemin zerinde g sterilen emberlerden olu an bir fayans deseni verilmi tir 8 cm 8 1 cm 3 63 83 63 Bu desende boyal b lgenin evre uzunlu u ka santimetredir B 4x C 5x PALME YAYINEVI D 6x

E A JKL has vertices J 6 2 K 1 3 and L 7 0 What are the vertices of the image after a dilation with a scale factor of 12 using the origin as the center of dilation

AABC has vertices A 8 4 B 14 16 and C 6 10 What are the vertices of the image after a dilation with 1 a scale factor of using the origin as the center of dilation 2

8 7 5A R 4 3 2 1 O R PO 1 2 3 4 S is T 5 6 7 S T 8 9 T X 10 Q Q

Review The graph of the linear function g x is shown belo AY What is the slope of the line 0 2 4 3 5 04 2 g x 3 2 1 31 1 2 3 41 5

Review What is the equation of the following parabola in vertex form 54 3 2 1 N 11 4 21 31 45 st A Oy x 1 3 Oy x 1 3 y 8 x 3 1 y 8 x 3 1

3 In the following drawing each segment is tangent to each circle The largest circle has a radius of 3 cm the medium circle has a radius of 2 cm What is the radius of the smallest circle

form of the equation of the line through the given points 2 through 1 5 and 5 1 Write the slope intercep 1 through 2 5 and 0 1 Y 2x 1 3 through 0 5 and 1 2 X 3x 5 5 through 2 2 and 1 3 x 1x 4 7 through 1 4 and 0 1 3x 1 9 through 0 2 and 4 2 1x 2 1xt 4 4 through 3 2 and 5 4 Interce 6 through 0 1 and 1 3 4 8 through 4 4 and 5 2 x x 10 through 2 5 and 0 1 Y 3x1

Find the slope of each line 1

Find 1 ope intercept Form Worksheet the slope of each line 3 Siope O 2014m 2 9 15 9 14 9 4 Name 3 lopp 0 Find the slope of the line through each pair of points 7 14 20 5 9 6 Date stope 1 SI 8 1 1 5 6 10 2 12 18 15 Period

y 3x 3 5 1 1 2 10 25 y 2x 4 27 y y x 1 2 435 410 6 3 4 2 10 2 2 2 24 y 2x 2 342 10 26 y x 3 di a 5 28 y x 5 34 35 10

29 y x 5 434 3 31 y x 2 33 y 3x 1 0 5432 0 40 2 3 3 x 1 30 y 2 2 In 44 33 10 4 32 y x 1 44 3 6 10 34 y x 1 d 0

1 Find a situation that can be modeled using similar triangles 2 Take a picture or sketch the situation 3 Use the scale factor to determine the lengths of all sides of the triangl

ry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 1 Which of the following properties is true about 2 Which of the following properties is true about ALL parallelograms Choose one ALL parallelograms Choose one A B C Four right angles Diagonals are bisected Only one pair of parallel sides 3 If x 9 can it prove ABCD is a parallelogram Show your work below B C 105 11x 6 D 5 Solve for x using the property of bisected diagonals CN 20 LN 6x 2 OA B C Opposite sides are equal and parallel All angles are always equal The sum of all angles is 180 4 If x 7 can it prove BCDE is a parallelogram Show your work below E 115 9x 7 100 D I 6 Solve for x using the property of bisected diagonals Then find the measure of VX VH 18 U HX 4x 6

T 18x 7 V 65 7x 5 U x 2 Hri 2x 2 R I 3 Solve for x in the parallelogram below Then find 4 Solve for x in the parallelogram below Then find the measure of ZY the measure of ZT U l 6x 6

metry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf According to Theorem 2 label the parallelogram with the appropriate tick marks IIf 1 According to Theorem 3 label the parallelogram appropriately I B If then the quadrilateral is a parallelogram B 00 Regist C According to Theorem 4 label the parallelogram with the appropriate tick marks then the quadrilateral is a parallelogram then the quadrilateral is a parallelogram 1

Graph the data you obtain from your experiment

Tools Jared is constructing a rectangular door for a shed If the door shown below has a width of 42 in and a diagonal support of 94 in what is the approximate height of the door 7 O O A B D 52 in 84 in 103 in 136 in ABC

Option A 1 Design an experiment to collect data that can be modeled as a parabol

Tools Question 10 Consider this right triangle Enter the ratio equivalent to tan L tan L Symbols 13 7 8 N 5 M 9

3 Determine the equation that best fits the data and graph that as well