Geometry Questions

In the diagram M is the midpoint of the segment Find the indicated length Find LN L X 9 M 4x N

Find MidPoint 1 9 10 10 2 2 1 3 3 1 M x x x x 2 Find Distance between the follow 2 points 3 2 1 4 3 4 3 5 7 1 Distance Formula x x x Y d

O NOW 5 9 7 7 5 6 8 4 2 1 5 3 M X X Y Y 2 2

Complete part a and choose another part to complete for credit Show all of your work Use geometric relationships to find angle measures Start by finding a special relationship the the bolded words on the handout between some of the sides or angles and use that relationship to write an equation Solve the equation for the variable then use that variable value to answer the original question a Find m MNP N 152 J B c Find m DBC Af 2x 4 M D x 7 C b Find m FGH K G 4x 3x 2 F x 28 4 P IN d Find m LPQ and m LP H M

perpendicular directions to chase their Pokemon Figure A shows their paths and the locations where they each catch a Pokemon Note The small squares in the grid have side lengths of one yard and areas of 1 square yar Figure A Dolores start 7 Marianne The red vertical line represents the path Dolores walked How far did Dolores walk before she caught a Pokemon yards The blue horizontal line represents the path Marianne walked How far did Marianne walk before she caught a Pokemon What is the distance between the spot wh yards

4 5 17m 11m O D Terminal Angle sin cos tan 8 Terminal Angle sin 8 cos 8 tan 8 Terminal Angle sin 8 cos 0 tan 0 csc sec 8 cot csc 8 sec cot 8 csc 8 sec 8 cot 8 Radians Radians Radians

Line RS bisects segment PQ at point R Find RQ if PQ 14 centimeter 3 5 7 centimeters 14 centimeters 28 centimeters centimeters

8 2 9 1 4 10 8 5 1 3 12 6 10 2 10

7 2 3 7 7 9 5 9 7 7 11 10 7 8 1

your answer to the nea 44 3 X 11 11

Period The Distance Formula Find the distance between each pair of points Round your answer to the nearest tenth if necessary 2 1 3 5 7 2 3 7 7 9 5 9 7 7 11 10 7 8 1 4 Name 6 y 8 2 9 1 4 10 8 5 1 3 X 12 6 10 2 10

11 The diagram shows the shape of one hole at a mini golf course The course is being renovated and the grass surface replaced Find how many square feet of grass will be needed to cover this area If the wooden railing along the outside also needs to be replaced how many feet of railing will be needed 12 The mini golf course has several holes with the same shape just a different size Write polynomials that can be used to calculate the amount of grass and railing needed for any course that shape 13 The mini golf course has another generic shape used for several holes write a polynomial for the area and perimeter of this shape as well 3x 7 ft 14 7 ft 2x 7 ft 14 ft x ft ft x ft 7 ft DE x ft 2x ft x ft x ft 2x f

B Find the perimeter of each polygon 1 3 9 2x 2 5x 3 4x 1 2x 1 2x 10 x 7x 2 5 The triangle has a perimeter of 9x 1 Find a polynomial expression to represent the third side x 3 Find the area of each polygon 7 3x 4 4x 3 2x 5 2 4 2x 1 8 8x 15 6 If the perimeter of the rectangle is 6x 18 what is the height 10 4x 2 2x 3x 5 8x 15 4x 6 3x 4 3x 2 4x 6 3x 4 4x 2 2x 1 Susan Poe

How different are the minor offense laws today from the laws discussed in the video and what effect do these laws have on employment income generation and wealth accumulation In what ways might we criminalize unemployment status or poverty today

10 Reflect the ant over the line y x 2 Create anchor points as needed 2 4 2 0 2 4 2 pre image

12 g x 2x 3 5 0 5 5 13 State at least one similarity and one difference between the functions for

Perform each of the transformations as described Focus on anchor points 9 Translate the grasshopper right 4 and up 3 2 20 0 2 2 3

20 Construct compass and straightedge AEFG F G Please don t answer jost try to explay

R 4x 3 X M 14 a What is the value of x 6x 12 b What is the length of RM 2X 15 c What is the length os RS 66 3x 1 X N 15 a What is the value of x M b What is the lenghth of MY c What is the lenghth of XY is Ray 5x48 8x 24 M 16 a What is the value of x b What is the length of XM c What is the length of XY 9x 12

Dir 13 P 5x 3 M 11 2x Q a What is the value of x b What is the length of PM What is the length of PO

The endpoints of two segments are given Find the length of each segment If necessary round your answers to the nearest tenth EF E 1 1 F5 1 and GH G 3 1 H 1 6 The length of EF is Tell whether the segments congruent 24 Yes 25 O No If they are not congruent tell which segment is longer The length of GH is about O EF is longer GH is longer O EF and GH are congruent The coordinates of the midpoint of GH are Ms 0 and the coordinates of one endpoint are H 2 9 The coordinates of the other endpoint are Find the distance between the points C 6 5 and D 3 1

CONNECTING CONCEPTS Point S is between points R and I on RT Use the information to write an equation in terms of x Then solve the equation and find RS ST and RT a RS 2x 10 ST x 4 RT 21 6 Equation X b RS x 9 ST 19 RT r 14 Equation X A CONNECTING CONCEPTS In the diagram AB BC AC CD and AD 12 Find the lengths of all segments in the diagram AB BC RS ST BD a AC RS ST RT B D

Find the reference angle for 320 0 010 X B JU

The figure below is a right triangle with side lengths t u and v Suppose that m LT does not equal m ZU U V Complete the following 21 sin T Part 1 In A TUV LT and ZU are Choose one Part 2 Use t u and v to fill in the blanks Make sure to use the appropriate upper case or lower case letters sin U 8 T cos U cos T Part 3 Select all of the true statements sin T cos U cos T cos U sin T sin U cos T sin U None of the above is true Part 4 Fill in the blank sin 46 cos

Given the figure below find the values of x and z X Z 13x 5 7x 31 X 20 S

2 8 37 2 40 3 21 4 21 5 21 0 333333 7

a Line k is not parallel to AB Line k does not intersect AB AB is reflected over line k to produce A B Part A Alex says The distance from point A to A equals the distance from point B to B Is Alex s statement correct or incorrect Justify or explain your answer Enter your answer and your justification or explanation in the box provided BiU X x C

Suppose f z y tan z y and u is the unit vector in the direction of 3 2 Then a f z y b f 0 5 9 sec x 2vtanx y 2vtanx y c fu 0 5 9 Du f 0 5 9 0 0311 A

or the following exercise evaluate the expression writing the result as a simplified complex number 5 4i 5 3i 3 2i

For the following exercise perform the indicated operations and express the result as a simplified complex number 5 2i 4 i

Find the slope of a line parallel to each given line 7x 2y 4 x y 2 3x 5y 0 x y 4

Find the slope of a line perpendicular to each given line y 6x 1 y x 1 3 y x 2 4

Find the slope of a line parallel to each given line y 2x 3 y y 3x 4 5

5 1 0 1 point E 2 A C 30 10 Solve for y Oy 6 67 Oy 5 y 9 y 6 y B

1 point 25 10 A 2 5 C Segments AB and BC are both tangent to the circle shown above What is the length of BC Note photo not necessarily to scale 5 5 B

W 3 Z The measure of arc XY is 85 degrees The measure of arc WZ is 25 degrees What is the measure of angle 3 60 degrees 12 5 degrees 30 degrees 42 5 degrees

2 1 point R 102 EF m is T What is the measure of arc RT 156 degrees 102 degrees 88 degrees 204 degrees

6 1 point B C F E S D A If chord AB is congruent to chord CD then what must be true about EF and EG They are different lengths They have no relationship They are parallel They are the same length

Show that the equation represents a circle by rewriting it in standard form 3x 3y2 6x y 0 Find the center and radius of the circle x y r

8 If BD BC BD 5x 26 BC 2x 1 and AC 43 find AB A 43 D 5x 26 24 1 B C

7 5 9 13 2 8 1 16 15 18 Write the slope intercept form of the equation of each line I 10 9

15 Find x if m22 4 7x and m2HFG 11x 10 16 Find x if m2l 4x 3 am m22 3x 7

13 Find x if mz1 6x 1 and m RTS 10x 4 S R

Each segment below is being bisected Find the requested measurements 17 Find FE and DE 29 5 TI F E 18 Find UT and ST S 3 6 U

43 Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph 1 0 0 2 0 1 3 1 5 4 3 2 5 4 3 2 1 ST 543 2 1 2 3 4 5 1 N 2 3 5 X

46 Which coordinate point is in the solution set for the system of inequalities shown in the accompanying graph 1 3 1 2 2 2 3 1 1 4 0 1 2 1 3 2 1 y 2 X

Find the area of this shape

with a circles are congruent are congruent Radii

10 Dikd rtgen eklindeki bir ka t zerine krokisi izilmi olan bir nehrin izledi i yolun yapt a lar ekildeki gibidir Nehrin izledi i yolun kar l kl kenarlan pa ralel oldu una g re m BCD a ka derecedir SO C168 RA 70 PB N 35 D 77 100 M D K F 150 a 28 E you F 80

In the right triangle find the length of the side not given Give an exact answer and an approximation to three decimal places 4 a 6 c 10 a The exact value of b is Type an exact answer using radicals as needed www