Geometry Questions

Suppose a student picks 3 points at random from Q R S T and W shown below Find the probability that these randomly chosen points are noncollinear Q RS I W The probability that 3 randomly selected points from Q R S T and W are noncollinear is Type an integer or a simplified fraction

Havel and Petra are married and will file a joint tax return Havel has W 2 income of 38 588 and Petra has W 2 income of 46 227 Use the appropriate Tax Tables and Tax Rate Schedules Required a What is their tax liability using the Tax Tables b What is their tax liability using the Tax Rate Schedule Note Round your intermediate computations and final answer to 2 decimal places a Tax liability using Tax Tables b Tax liability using Tax Rate Schedule

Which of the following is NOT a way to name the line OA JI OB JK O C KI OD IJ OE KJ OF O G K IK

1 Find the measure of each missing angle 35 2 543 2 Find the value of x m21 m22 m23 m 4 m25

An observer D is located 500 feet from a school i The observer notices a bed gaa school You must show all work and calculations to receve tu creat 39 500 feet

Find the tangent of ZS R 6 S 22 Q Write your answer in simplified rationalized form Do not rour

Find the measures of the numbered angles in the isosceles trapezoid m 1 40 m 2 3 40 40 H

03 05 M If AEFG ALMN with a ratio of 2 1 which of the following is true EF FG LM MN EF LM

y Z Find the value of each variable 118 2 107 810

Find the measure of an exterior angle of a regular 50 gon The measure of an exterior angle of a regular 50 gon is Type an integer or a decimal

10 G Two triangles are shown D L 3 N T2 8 7 6 5 2 0 2 3 4 E7 8 5 6 y 6 8x Which sequence of transformations could be performed on AEFG to show that it is similar to AJKL A Rotate AEFG 90 clockwise about the origin and then dilate it by a scale factor of with a center of dilation at the origin 1 2 B Rotate AEFG 90 clockwise about the origin and then dilate it by a scale factor of 2 with a center of dilation at the origin 1 2 C Translate AEFG 1 unit up then reflect it across the x axis and then dilate it by a scale factor of with a center of dilation at the orig Reflect AEFG across the x axis then reflect it across the line y x and then dilate it by a scale factor of 2 with a center of dilation the origin

D25 Which statements are true Select all that apply A mzWZX 34 B mzWXY 123 C mzXYZ 46 D mzWPZ 90 What is HL 2 5 JK H 12 K W 56 X Z 67

If AEFG ALMN with a ratio of 2 1 which of the following is true EF FG LM MN EF LM 31

For each transformation in the table below indicate which properties are always true by placing a check mark in every appropriate box Transformation Translation Reflection Rotation The Image and prelmage are congruent The Image and preimage are similar but not congruent 00 Lengths of segments are preserved Measures of angles are preserved

DRAG DROP THE ANSWER 28 24 21 24 Vertical angles theorem 25 27 Angle addition postulate Corresponding angles postulate Reflexive property 24 27 Transitive property 25 28 28 21 Alternate exterior angles theorem m n Lines m and n are cut by transversal p 28 44 2548 2544 Given

H D M A MA M A 5 B MA lies on M A 3 2 0 2 3 4 5 A 2 3 4 Quadrilateral MATH is dilated by a scale factor of 2 centered at the origin to create quadrilateral M A T H T Select all the statements that are true about the dilation c HT and H T have the same slope The length of A T is 2 times the length of AT

1 Am fef Am 22 Am All H m www DRAG DROP THE ANSWER Complementary angles Corresponding angles XO Alternate exterior angles Vertical angles Adjacent angles Alternate interior angles O

Use the Polygon tool to create the reflected Image of the triangle on the coordinate grid POLYGON 6 5 4 3 2 1 1 2 3 4 5 5 6 4 1 0 3 2 1 2 3 A C 4 5 B 6 7 00 8 9 10 11

7 The Image of ABAT in the graph shown below is rotated 90 counterclockwise around the origin to form AB A T 7 Answer 65 6 5 10 34 3 2 T 241 01 3 1 3 in 61 y 5 6 B What is the y coordinate of the point B A 5 6 7 8 x

Two parallel lines a and bare cut by a transversal m forming 8 angles numbered as shown below m 1 3 2 4 24 25 m La m 6 m 7 0 28 24 5 7 m 2 m 4 180 m 5 m 7 m 6m2 8 6 Determine whether each statement is Always True Sometimes True or Never True 8 Always True Sometimes True Never True OOOOO ooooo 0000

Eden is cutting two triangular tiles for her bathroom She needs the tiles to be congruent but is not sure she is cutting them that way Eden has ensured that one side of both tiles is congruent Which pair of sides would Eden need to compare in order to make sure the triangles are congruent by HL 3 1 AC and FD OAB and EF OBC and EF OBC and FD 3 2 B 3 2 D 2 3 5 6

Solve the right triangle F 10 FG GH m F G 44 H Write your answers as integers or as decimals rounded to the nearest tenth

4 5 ft 15 ft 18 ft A A new bridge structure requires triangles that are in a ratio of 1 1 If AC 4x 3 and EC 2x 6 find the distance between the top and bottom of the bridge in feet 30 ft N B 4

Use the diagram to complete the following sentence An angle is inscribed in the circle The degree measures of the three arcs are shown 90 to The value of x is 160 110 Select One V

Use the diagram to complete the following sentence In the circle m PS 112 and m QR 178 178 112 to The value of x is S R Select One V

Use the information and diagram to answer the following question In the figure the measure of minor arc XY 66 X What is mZXOY A 147 B 66 33 66 294 Y

Use the diagram to answer the following question The measure of minor arc AC is 142 A What is m D A 71 B 76 C 109 142 38 B

Circle P is dilated to form circle P Which of the following statements is always TRUE A The length of any chord in circle P is greater than the length of any chord in circle P B The ratio of the diameter to the circumference is the same for both circles The radius of circle P is equal to the radius of circle P D The diameter of circle P is greater than the diameter of circle P

03 05 MC AAXY is similar to AABC A X B AC AB Y Which of the following expressions could be used to determine the length of segment AC AC AY AC AB AY AX AX AY C OAC AB

Use a coterminal angle to find the exact value of the expression Do not use a calculator cot 405 The coterminal angle is Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360

5 A point on the terminal side of an angle 0 in standard position is 4 11 4 Find the exact value of each of the six trigonometric functions of 0 D Select the correct choice below and if necessary fill in the answer box to complete your choice OA sin 8 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression OB The function is not defined

and PR PQRS is a kite with diagonals QS What is m 1 What is m42 32 R 2 X35 P

Which of the following best completes the proof showing that AWXZ AXYZ X We 16 9 12 12 16 Z Since XZ1WY angles WZX and XZY are both right angles and congruent The proportion similar by the SAS Similarity Postulate 16 12 12 29 O 12 12 16 12 9 9 Y shows the corresponding sides are proportional so the triangles

3 6 Question 10 10 points G H CON If m GHI measure of J Your Answer 46 degrees what is the H

Are triangles DEF and LNM similar if DF 8 and LM 4 D FO E Yes by the SAS Similarity Postulate Yes by the definition of similarity L No the corresponding sides are not proportional No there is not enough information N M

A B m A Your Answer F B if mZD 47 degrees find

Ifm GHI measure of ZJ Your Answer 69 degrees what is the

Question 9 10 points G H If m J 47 degrees what is the measure of ZGHI Your Answer

Question 6 10 points A C B 2 Note Image not drawn to scale If the measure of angle ABC is 70 degrees what is the measure of arc AC 160 degrees 140 degrees 80 degrees 70 degrees

Question 8 10 points E Your Answer B D if mZD m A 2x 12 A Solve for x 5x 36 and

Move the slider h so that the graph of y gets shifted to the right 2 units Then type the new function f x in the answer box 3 2 1 4 3 2 1 0 1 2 1 2 T O 3 h 0 00 4 01 Don t forget to shift the graph to the right Using function notation i e f x enter the function that results from the transformation

If the formula y is changed by adding three as shown in red below f 1 1 3 Which values would be most directly affected by the change Select an answer Select an answer It would have no effect It would directly affect the x values It would directly affect the y values aph

Move the sliders h and k so that the graph of y z gets shifted up 1 units and to the right 2 units Then type the new function f z in the answer box 1 3 2 1 0 1 f x 2 2 3 h 0 00 k 0 00 040 4 Don t forget to shift the graph Using function notation i e x enter the function that results from the transformation 1

AABC is similar to AAXY by a ratio of 3 2 If BC 24 what is the length of XY A X B XY 8 OXY 12 XY 16 XY 36 Y C

An aerial camera is suspended from a blimp and positioned at D The camera needs to cover 125 meters of ground distance and will be flown at an altitude of 75 meters If the camera attachment to the blimp is 20 meters in length how low should the camera hang from the blimp from G to D 1 7 m 10 m 12 m Y 20m F GE D 75m B 125m

Sketch a graph of f x 5 4 3 2 1 Clear All Draw 5 4 3 2 7 3 if x I 2 1 if 2 I 1 3 if I 1 1 1 2 3 4 5 1 2 3 4 O Note Be sure to include closed or open dots but only at breaks in the graph video Video 2

Question 4 Multiple Choice Worth 1 points 03 05 MC A 15 O B 15 C DB is a median of AADC Which statement best describes the relationship between triangles ABD and CBD Triangles ABD and CBD are congruent by the SSS Congruence Postulate Triangles ABD and CBD are similar by the SSS Similarity Postulate Triangles ABD and CBD are congruent by the SAS Congruence Postulate Triangles ABD and CBD are similar by the SAS Similarity Postulate

Find the value of x 5x 139 9x 92 71 8x 54 45 50 42

Name the similar triangles A D AABC ADEF AABC AEFD AABC ADFE AABC AFED F C E B Question 1 Not Answered 0

Answer the following questions using complete sentences Show all of your work for each step Review the rubric for detailed information on how to answer the questions Problem situation Use the quadratic equation y x 20x 32 to answer the following questions 1 Explain a method that can be used to find the zeros of the function 2 Find the zeros of the function using the method explained in question 1 Show all work and provide the zeros as ordered pairs 3 Explain the process that can be used to find the axis of symmetry of the function 4 Find the axis of symmetry of the function using the process explained in question 3 Show all work 5 Explain how the axis of symmetry can be used to find the vertex of the function 6 Find the vertex of the function using the process explained in question 5 Show all work and provide the vertex as an ordered pair