2D Geometry Questions and Answers

The point x y is first rotated 180 clockwise about the origin translated 6 units to the left and then reflected across the line y z Write a function S to represent the sequence of transformations applied to the point x y O 0 00 VO 4 S x y 71 a t sin cos tan sin costan APP csc sec cot log logg In ZAN E U

Create a function to represent the point x y being reflected across the y axis F x y y X T

A biking track has a length of 0 35 miles mi How long is this in feet 1 P First fill in the blank on the left side of the equation using one of the ratios Then write your answer on the right side of the equation Ratios 1 mi 1760 yd 0 35 mi 1760 yd 1 mi 1 yd 36 in 36 in 1 yd 5280 A 1 mi 5280 A 00000000000 yd E In 00000000000 mi

A 1 15kg ball is connected by means of two massless strings to a vertical rotating rod The strings are tied to the rod and form two sides of an equilateral triangle The tension in the upper string is 55 8N String length L Rotating rod If the length of each string is 1 63m what is the tension in the lower string Submit Answer Tries 0 10 od of the ball

Find the length of segment XY X nswer 6 6 Z 12

You must use the conversion factors provided below when solving these problems 1 yd 3 feet 36 inches 1 ft 12 inches 1 mile 5280 ft Answer 1 pt Conversion Factors 1 m 100 cm 1000 mm 1 km 1000 m 1 mile 1 6 km 1 yd 0 9 m 1 in 2 54 cm 1 lb 0 45 km 1 5 pts A rectangular swimming pool measures 14 feet by 30 feet The pool is surrounded on all four sides by a path that is 3 feet wide If the cost to resurface the path is 2 per square foot what is the total cost of resurfacing the path Work 3 pts I Replace these words with a cropped picture of your work for question 1 only

Question 8 of 12 O O 20 15 Which statement is true about this regression By f 66 By f 66 Population in Thousands 40 f x 2 28e 5 0 04 0 85 Number of Years Since 1900 45 50 55 60 65 2018 WGU Powered by GeoGebra By f 66 31 95 it can be estimated that the city had approximately 31 950 residents in 1966 This is an extrapolation By f 66 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an extrapolation 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an interpolation 310

Given the figure below find the values of x and z 12x 59 13x 57

Assume t is defined for all time Enter the letter of the graph below which corresponds to the curve traced by the parametric equations Think about the range of x and y and whether there is periodicity and or symmetry 1 x 6 cos t cos 4 5t y 6 sin t 2 x sin t 3 2 sin t 3 x cos t y sin t 1 t 4 x sin t sin 7t y cos t 5 x t sin 5t y t cos 5t A sin 4 5t y cos t 3 2 sin t B C D E

Certain positive angles are marked in the given figure Find the corresponding radian or degrees measures 60 3 radians C Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 2x radians 120 3 Simplify your answer Do not include the degree symbol in your answer 3x radians 135 4 Simplify your answer Do not include the degree symbol in your answer 5x 150 radians 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 180 radians Simplify your answer Type an exact answer using a as needed Use integers or fractions for any numbers in the expression 210 radians 7x 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 225 radians implify your answer Type an exact answer using as needed Use integers or fractions for any 3x 4 2x 3 radians radians 150 180 210 225 Points 0 54 of 1 3 radians 3x 2 90 2 radians 60 4 radians 270 5x 3 radians 30 10 0 radians 330 315 radians O Q S

The length and width of a 6 inch by 8 inch photograph are reduced by the same amount to make a new photograph with area that is half that of the original By how many inches will the dimensions of the photograph have to be reduced Which equation can be used to solve the problem O x 6 x 8 24 O 6 x 8 x 24 O 6 x 8 x 96 O x 6 x 8 48

DEH is adjacent to HEG DEG IS 106 And LHEGIS 55 Find the measure of DEH

approximation to three decimal places b 1 c 24 The exact value of a is The exact value of b is The exact value of c is G C 100002 20 b C 720 API

In a plane if two lines are perpendicular to the same line then they are parallel to each other Show that this is true by completing a two column proof Given 11n min Prove 1 m Statements In min 2 and c6 are right angles 42 90 M46 90 M M 6 Reasons 1 Given 2 Def of perp line I Def of right angles Def of congruent s 5 Converse of corresponding 25 thm 12 43

2 What are the value s of k that makes the parabola y x kx 10 and the line y 3x 1 have one point of intersection

C What is an equation of the line that passes through the point 4 4 and is perpendicular to the line 4x 5y 10 Question O Watch Video

D A y f x 2 y f x 1 3 y f x 1 3 y f x 2 y f x 1 3 used B E C F

For the symetric truss shown below note the sketch is not to scale determine the size of angle to three sig figs and the length of web member AB to the nearest whole inch a B DEGREES B 5 ft 1 in E 2 7 ft 8 in D 4 ft 3 in

What is the area of this figure 11 mi 4 mi square miles 5 mi 3 mi 8 mi 6 mi 5 mi Write your answer using decimals if necessary 7 m

Writing Equations of Lines Write the slope intercept form of the equation of each line 1 1 2 2 3 A y x 2 y x 2 D y x 2 A y 4x y x 4 B y D ya 4r Write the point slope foral of the equation of the line described perp perpendicular 3 through 2 4 parallel to y 3 3 4 A y 4 3 x 2 B y 4 3 x 2 C y 2 3 x 4 D y 2 3 x 4 4 through 1 4 parallel tox 0 A y 4 3 x 1 B y 1 3 x 4 C 0 x 1 D y 4 0

DECORATING Camilla made a collage with pictures of her trip to Europe She wants to hang the collage from the ceiling in her room so that it is parallel to the ceiling She draws a model of the collage on a coordinate plane At what point should she place the string 987654 32 2 1 y 0 8 0 0 3 4 O12345678

12 and CF 18 Find each measure In A4BC Hier AufBU 5 CU UF 6 AD 8 BE A E C 16 H LL F D 12

90 1 1445 2 35 95 6 4 7 38

Find an angle with 0 0 2 that has the same 12 11 Sine as 0 35x 22 T

What are the values of x y and z to 66 45 30 430 Jo 20 119

4 Label this shape LMNP Translate it x 1 y 2 Write the coordinates below L M N P L M N P 5 Label this shape QRS Rotate it 90 clockwise about the origin Write the coordinates below Q Q R R S S 6 Label this shape TUVW Dilate it x y 1 5x 1 5y Write the coordinates below T U V W T U V W

Examine the two pentagons shown E D A C B D C B OR T ABCDE OR Ro ABCDE T Ro ABCDE ORIT Ro ABCDE A Which of the following combined transformations can be used to map ABCDE on ABCDE

4 m6 m47 180 in the diagram Therefore lines a and bare parallel not parallel circle one If you circled parallel provide the postulate theorem to support your claim If you circled not parallel explain why 8 7 9 10 16 15 16 3 4 6 5 11 12 14 13

In the given triangles PR AC and ZP ZA R B Which additional fact is needed in order to use the ASA criterion to prove that the two triangles are congruent OA ZR ZC OB 4Q 2B OC PQ AB OD RQ BC

4 B A 10 120 B 16 rnek Soru C 20 12 Antrenman AC BC X D 24 E 36

1 1 Complete a two column proof Given SU LR TU LN Prove ST NR Statements SU LR TU LN Reasons 1 Given S L N T TROM bhe R

Prove the Converse of the Alternate Exterior Angles Theorem Given 42 27 1 42 27 Statements Prove m n Reasons 1 Given 3 2 4 5 7 6 8

1 Complete a two column proof of the Vertical Angles Theorem Given 22 and 24 are vertical angles Prove 2 24 Statements 1 22 and 24 are vertical angles 41 and 24 are a Linear Pair 21 and 2 are a Linear Pair 2 Reasons 1 Given 2 Given in Diagram 4 1 3 2

196 Ox 7 10 None of the above Oy 7 Ox y 7 5 10 JANKY 5 0 6 10 15 THE KING JAN AN 10

Find the period y tan x Graph the function HANSA 858722

Find the period y 2 tan x Graph the function HMS 212 WAN Need Help Read it ww K

B 15 BIUX X 15px Question 3 2x 4 Space used includes formatting 0 15000 TUKI C AVA Submit

Drag each tile to the correct box Triangle ABC is shown B 82 38 A Order the sides of the triangle from shortest to longest AB BC AC

Based on the given lengths determine whether the segments can form a triangle Drag each set of side lengths to the correct location on the table Can Form a Triangle Can t Form a Triangle

esson 9 Practice Prob 1 An image of a book shown on a website is 1 5 inches wide and 3 inches tall on a computer monitor The actual book is 9 inches wide a What scale is being used for the image b How tall is the actual book

owing equation represents a hyperbola Fut the equation in to standard for Standard form of a hyperbola 25x 16y 100x 96y 444 B 11 Based on the equation you just put in to standard form make a conjecture as to where the center is located and how the a and values affect happens to the hyperbola if the x term is negative graph of the hyperbola What 12 Using a graphing utility like Desmos or GeoGebra graph the equation of the hyperbola am confirm your conjectures If necessary make a new conjecture based on your findings aft graphing 13 The transverse axis of a hyperbola connects the two vertices List the coordinates of th vertices

Select the correct answer from the drop down menu How does extending vertex A further to the left of vertex B verify the relationship between sides and angles in t A B As the length AB increases the measure of ZC decreases increases stays the same

hot tub on e located at ot tub so it is d your Example 3 A is the incenter of APQR Find each measure 7 MZARU P 8 AU 10 mZPHU 11 HU 3x 2 T 20 A 4x 9 40 U is the incenter of AGHY Find each measure 9 MZUGM K R G M 28 H 21 B 12 5 P

Examples 1 and 2 Find each measure 1 mLABE B A 20 E 43 mZEWL W 7 C 7x 5 3x 21 E R 2 mZYBA B 5 IU 19 19 47 8 A 8 T 2x 5 U 7x 3 MK M 2x 13x8 6 mZMYW T 4x 1 Y M 2x 5 W

d x x y 4 Donnie still holds to his claim that this shape is both a parallelogram AND more specifically a rectangle too Except Donnie found a different way to prove this is a rectangle He claims that if the diagonals of the figure are congruent to each other that would prove it s a rectangle Use the distance formula or Pythagorean Theorem to find the length of each diagonal AC and BD Show all work 4 pts 5 Length of AC 4 4 a b c Length of BD a Is Donnie correct Are the diagonals of the quadrilateral congruent 1 pt b If the diagonals are congruent does this make the shape a rectangle a parallelogram or both In other words what shape has congruent diagonals Explain your answer thoroughly 2 pts 6 Why do you think Walter may have thought this was a parallelogram if he was looking at the coordinate plane Does it appear that ABCD has any right angles Explain what s wrong with the diagram that caused Walter to believe this was only a parallelogram 3 pts

Give the slope and the y intercept of the line 6x 2y 8 0 Slope y intercept 0

ationalize the denominator just numbe 9 please Evaluate using exact values and rationalize the denominator 25 sin 26 cos 4 Cos 77 5m 6 5m 4 27 2 cos sin 4 28 4sin sin cos 7m 4x 247 3 30 2 cos 29 2 sin 31 sin 5m 32 6 cos 2 r sin 1 11 z 5m cos 1 3 ST cos 117 3 cos

Find the area of the triangle below Carry your intermediate computations to at least four decimal places Round your answer to the nearest hundredth 5 ft 38 7 ft X

Tom is on vacation at a tropical bay that has three islands He rents a boat on Island A and plans to navigate to Island C which is 15 miles away Based on t figure below at what angle 8 should he navigate to go to Island C Island A B 15 miles 11 miles X 8 miles Island B Island C Carry your intermediate computations to at least four decimal places Round your answer to the nearest tenth of a degree S

In the diagram below PW 6 and WX 4 Find QX X W P