2D Geometry Questions and Answers

1 1 point E G FL D The line containing points E and G is a diameter It runs parallel to never crosses intersects the endpoint of bisects chord DF

Answer 50 v 7

Solve for the value of a 6a 1 2a 3

Solve for the value of a 67 6a 1 Answer Attempt 1 out of 2

Solve for the value of a 529 8a 6

To find the distance across a river a surveyor chooses points A and B which are 197 ft apart on one side of the river see the figure She then chooses a reference point C on t opposite side of the river and finds that ZA 47 and LB 70 Approximate the distance from A to C A B 207 ft 208 ft 209 ft 206 ft A c ft Bo

Evaluate the sine cosine and tangent of the angle without using a calculator If an answer is undefined enter UNDEFINED 11 0 4 sin Cos 0 tan 8

Determine two coterminal angles one positive and one negative for each angle Give your answers in radians Enter your answers as comma separated lists 17 a 8 7 b 0 7 15 rad rad

Find the measure of the missing angles Answer Attempt 1 out of 2 g k O O 50 hl g m 39 kl h m O O

A television camera at ground level films the lift off of a space shuttle at a point 750 meters from the launch pad see figure Let 8 be the angle of elevation to the shuttle and let s be the height of the shuttle a Write 8 as a function of s 8 750 m Not drawn to scale b Find 8 when s 600 meters and s 1300 meters Round your answers to two decimal places s 600 meters 8 rad s 1300 meters 8 rad

Find the measure of the missing angle 65 a

Find the indicated side x if b 6 a 33 y 70 Use either the Law of Sines or the Law of Cosines as appropriate C O 5 164 A 22 369 14 527 3 354 a y X B

Find the measure of the missing angle a

A 16 ft ladder is leaning against a building If the base of the ladder is 6 ft from the base of the building what is the angle of elevation of the ladder Round your answer to one decima place O ICE AN How high does the ladder reach on the building Round your answer to the nearest whole number ft

In the triangle below with right angle D suppose that m B 3x 26 and mz C 5x 16 Find the degree measure of each angle in the triangle C D k 5x 16 3x 26 B mL B m2 C m2D O 0

A 18 ft ladder is leaning against a building If the base of the ladder is 6 ft from the base of the building what is the angle of elevation of the ladder Round your answer to one decimal plac 0 How high does the ladder reach on the building Round your answer to the nearest whole number ft

Which of the following best describes the dilation Figure 1 Figure Il Figure III Figure IV

13 15 7x 10 10x 3x 85 A 8x 5 A 14 A 16 48 5x 2 134 11x 5 9x 3 A 6x

Solve for x 5 7 30 66 x x 44 55 2 201 8 60 30x 10 5x 40

Find the measure of each angle indicated 1 55 70 3 80 7 39 DAY 2 4 35 85 85 35

2 In the figure to the right QR 45 feet and RS 15 feet Find QS

the figure to the right EG 12 EF 2x 3 and FG x 6 Find EF and FG EQ F 2r 3 x 6

1 In the figure to the right PR 12 inches and QR 4 inches Find PQ HR a PR 1

Use the figure below to find the exact values of the half angles 5 Find sin cos and tan sin cos tan 11 12 0

STATE The toco toucan Ramphastos toco is the largest member of the toucan family and possesses the largest beak relative to body size of all birds This exaggerated feature has been interpreted in various ways such as being a refined adaptation for feeding However the large surface area may also be an important mechanism for radiating heat and hence cooling the bird as outdoor temperature increases Here are data for beak heat loss as a percent of total body heat loss at various temperatures in degrees Celsius Temperature C 15 16 17 18 19 20 21 22 Percent heat loss 32 34 35 33 37 46 55 51 from beak Temperature C 23 24 25 26 27 28 29 30 Percent heat loss from beak 43 52 45 53 58 60 62 62 access the complete data set click the link for your referred software format cel Minitab14 18 Minitab18 JMP SPSS TI R Mac KT PC TXT CSV Crunchlt rom a graph in G J Tattersall et al Heat exchange from the toucan bill als a controllable vascular thermal radiator Science 325 2009 pp 470 O Macmillan Learning PLAN Plan to create a scatterplot and compute a numerical correlation metric to analyze the relationship between percent heat loss from beak response variable and temperature explanatory variable SOLVE Use software of your choice to create a scatterplot of percent heat loss from beak versus temperature Examine the scatterplot and describe the pattern Identify the correct interpretation of the relationship between temperature and percent heat loss based on the scatterplot r There is a weak negative linear relationship between temperature and heat loss There is a strong positive linear relationship between temperature and heat loss There is a moderately strong positive nonlinear relationship between temperature and heat loss O There is a weak negative linear relationship between temperature and heat loss Calculate the correlation r between temperature and the percent of heat loss from beak Provide your answer with precision to three decimal places

Use the figure below to answer items 15 through 17 given that A B C D 8 points each P P1 B4 D4 A4 C4 T B Du C P3 P2 B2 1 T 2 K B3 L4 D3 C3 16 C4 B4 D4 A4 P3 P2 CA D4 17 A4 D4 C4 B4

Lines m and n are parallel and are intersected by transversal line 1 1 5 E m 2 6 3 4 8 7 If the m 1 71 what is the measure of its corresponding angle Type the correct answer in the box Use numerals instead of words For help see this worked examp

You will explore the relationships between corresponding angles when two parallel lines are cut by a transversal Directions Read the instructions for this self checked activity Type in your response to each question and check your answers At the end of the activity write a brief evaluation of your work Activity In this activity you will use the GeoGebra geometry tool to explore the relationships between the corresponding angles formed when a transversal cuts two parallel lines Open parallel lines and transversals and complete each part of the activity For help watch this video about using measurement tools in GeoGebra Part A Measure and record all eight angles formed between the transversal line EF and the parallel lines AB H and CD Take a screenshot of your diagram showing the measures of all the angles and paste it in the space below BIUX X 15px AVV EEEEEE HY

the triangle below LF is a right angle Suppose that mz E 5x 16 and mz G 4x 20 G F 4x 20 45x 16 E a Write an equation to find x Make sure you use an sign in your answer Equation b Find the degree measure of each angle mLE 0 mLF m G 0 0 X X S

m the triangle below suppose that m 2 V 2x 9 mz W 7x 1 and m2 X x ind the degree measure of each angle in the triangle 2x 9 W 7x 1 X m V m2 W mLX 0 0 0 O X

In the triangle XYZ XY 14 cm XZ 17 cm and angle YXZ 25 A is the foot of the perpendicular from Y to XZ Calculate a the length XA b the length YA c the angle ZYA

6 Complete the statement that best describes the intercept of your graph when the quantity The value of the quantity zero Please select a valid drop area is value unit is

ne time increases 1 s for every 1 cm of speed moices Reset S 0 time 27705 6277 cm position Submit Answer X unlimited submissions remaining speed

23 Pentagon PENTA with PE EN 24 Hexagon NGAXEH with LHEX LEXA

10 ABC ikizkenar dik gen DC AB AC 1 BC AC BC AB BD Yukar daki verilere g re m AED x ka derecedir A 50 B 60 C 62 D 70 A E B E 75

A A m AED 4 X 4 AU 2 B DC LAB AC BC IACI IBCI JABI IBDI

R H K C M La b N Name a point that is collinear to point L 1 Points have to be in capital letters Name another name for line b Name the intersection of line c and plane R Name a point that is non coplanar to plane R Name a side of HKL Ray start at the vertex and continue out Hint Hint Rays have to

In the diagram below if JL 10x 2 JK 5x 8 and KL 7x 12 find KL J X KL 1 K L

Solve for m DEF if m DEG 58 and m GEF 58 B E G D

Which angles are adjacent angles B E H F C A ZBCF and BCA ZBCF and ZGFH D G ZBCF and ZEFC ZBCF and GFC

The midpoint of AB is M 1 3 If the coordinates of A are 3 1 what are the coordinates of B

BD and EG are parallel lines B E A C F ZDCA and LGFC HA ZDCA and GFH D Which angles are adjacent angles G ZDCA and DCF ZDCA and LEFC

CE and FH are parallel lines C F B D G LCDG and ZEDB I LCDG and ZFGI E Which angles are corresponding angles H LCDG and ZCDB LCDG and ZFGD

Consider the following graph of a linear equation 6 5 Find the slope of the line m T Find the y intercept Enter a point 6 5 4 3 2 0 1 3 2 1 0 1 2 3 4 5 6 2 3 3 0 5 6 Enter the equation of the line written in slope intercept form y mx b

2 A B and C are the centers of the 3 circles How many equilateral triangles are there in this diagram B

4 If m23 54 find each measure a m1 b m 2 c m 4 d m25 e m26 5 11 12 14 13 f m27 g m28 h m 9 i m 10 j m 11 k 1 m212 m 13 m m 14

Use the given information to find mZA mZD 117 mZA 2x mZB x 39 mZA

3 T I K 5 Find KL 9 E K 7 7 Find EC K U 10 32 D 20 26 H 49 G 11 16 30 K H L B 2 R 4 c G S K 6 Find HJ K 14 IK 8 Find IK H 13 D 30 12 49 K T 31 E 12 Points A B and C are collinear Point B is between A and C Find the length indicated L

11 AC 3x 3 AB 1 2x and BC 11 Find x Solve for x 13 N B x 6 H D Find the length indicated 15 Find CE 3x 47 17 Find DE 27 x M 3x 28 C 9 23 E L 33 D 3x 30 H x 26 F 2x 19 Critical thinking questions 10 x K E G 12 AC 22 BC x 14 and AB x 10 Find x 14 s H B 16 Find BD HE 14 13 18 Find EG F T 2x 4 C 4x 29 HE F 6 2 x 23 U 3x 1 D 26 X A 14 x 2x 18 2x 3 12 H G V H addition problem using three

a m EBG 60 m FBG 2 m EBF 21 What is m EBF