Geometry Questions

Geometry 9 3x RE mz1 40 Classify by its angles 64 75 Exterior 30 10 2x mz1 38 For 12 14 find the measure of the exterior angle Hint you may need to find x first 12 13 14 Classify by its angles Exterior For 15 17 find the measure of each acute angle by finding x first 15 16 2x 2 45 3x 2 11 m21 17 60 Classify by its angles 60 3x 6 Exterior x 7 11x2 24 2x 18

The dimensions of a rectangular duct with grooved seam are height h 18 inches width w 28 inches length 3 5 ft M 3 8 inch A Find in inches the value of the Length of the Stretchout L S 13 75 B Find in inches the value of the Width of the Strechout W S 70 75 MY F Xinches State your answer as a decimal value Do not ro Xinches

Determine the remaining sides and angles of the triangle ABC A 19 39 B 20 57 c 16 98 m C Question 8 7 1 23 Part 1 of 3

Solve the triangle a 8 103 in c 6 630 in B 78 63 What is the length of side b in Round to the nearest thousandth as needed What is the measure of angle A Round to the nearest hundredth as needed What is the measure of angle C O Round to the nearest hundredth as needed

Solve the triangle with the given parts a 25 3 m b 14 4 m c 14 3 m What is the degree measure of angle A 7 Round to the nearest tenth as needed

Solve the triangle What is the length of side a A 0 C 13 26 C 20 a Round to the nearest whole number as needed What is the measure of angle B B Round to the nearest degree as needed What is the measure of angle C 0 Round to the nearest degree as needed a B

K Solve the triangle shown to the right A B and C Round to the nearest tenth as needed 15 A 15 17 B

1 Find the area of the triangle using the formula A bh and then verify that Heron s formula gives the same result Use the formula A he area is 1 zbh

Determine the remaining sides and angles of the triangle ABC A 22 62 B 36 58 c 19 65 m C O Part 1 of 3

Solve each triangle ABC that exists A 38 a 3 4 c 14 3 Select the correct choice below and if necessary fill in the answer boxes within the choice OA There are two possible solutions for the triangle The measurements for the solution with the longer side b are as follows B C b The measurements for the solution with the shorter side b are as follows B C b Round to the nearest tenth as needed B There is only one possible solution for the triangle The measurements for the remaining angles B and C and side b are as follows B b C Round to the nearest tenth as needed C There are no possible solutions for the triangle

Consider circle E CD is the perpendicular bisector of segment AB B C What is the measure of the arc intercepted by ZACD A D 50 180 270 E 90 D B

f x 2 cos x 2 cos x xx 3x 7x The solution set for f x 0 in the interval 0 2x is 4 2 24 Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed Find the solution set for f x 0 in the specified interval Choose the correct answer below OA The solution set of f x 0 is 0 OB The solution set of f x 0 is x 3x 22 3x 7x 4 2 2 OC The solution set of f x 0 is 0

Find the value of csc arccos Express numbers in exact form Use symbolic notation and fractions where needed Simplify your answer com

Find the standard form of the equation of the parabola with the given characteristics Vertex 7 6 directrix x 14

Find the x and y intercepts of the graph of the circle If an answer does not exist enter DNE x 10x y 2y 19 0 STEP 1 Consider the equation for the circle x 10x y 2y 19 0 Let y 0 Give the resulting equation below 10x 19 0 STEP 2 Solve your equation from Step 1 for x If one or more solutions exist these values are the x coordinates of the x intercepts of the graph of the circle Enter your answers as a comma separated list x x STEP 3 Consider once again the equation for the circle x 10x 2y 19 0 STEP 4 Solve your equation from Step 3 for y If one or more solutions exist these values are the y coordinates of the y intercepts of the graph of the circle Enter your answers as a comma separated list y 2y 19 0 Now let x 0 Give the resulting equation below STEP 5 Complete the problem by listing the x and y intercepts x intercepts x y smaller x value larger x value y intercept x y 1

Evaluate the given trigonometric function directly without first changing the radian measure to degree measur sec 4 3186 sec 4 3186 Round to four decimal places as needed

K Complete the statement y cos x means that x for 0 syst y cos x means that x for 0sys

Solve the equation for all exact solutions where appropriate Round approximate answers in degrees to the nearest tenth Write answers using the least possible nonnegative angle measures sin 0 cos 0 sin 0 0 Choose the correct answer below OA 270 n where n is any integer O B 0 OC 180 n where n is any integer O D 90 n where n is any integer

Determine the aplitude midline period and an equation involving the sine function for the graph shown below S 5 4 3 2 1 10 8 6 4 2 2 4 6 8 y c 1 2 3 X 5

Consider the following 25x 4 300x 40y 900 0 a Find the standard form of the equation of the ellipse b Find the center vertices foci and eccentricity of the ellipse Order your answers from smallest to largest x then from smallest to largest y If the ellipse is degenerate find its center then enter NONE in Centers Vertices Foci Eccentricity c Select the correct graph of the ellipse Use a graphing utility to verify your answer 10

A restaurant dining space and hallway is shown in the diagram below This area of the restaurant will have 12 foot ceilings b 1 m Step 1 Calculate the total volume of the dining area and hallway in cubic feet Assume a 6 4 m b 8 4 m and c 12 1 m Use 1 ft 0 3048 m for your conversion Remember to do the conversion for each dimension as we showed in class Round your answer to the nearest hundred not hundredth Volume of the space ft Step 3 The design of the duct work specifies an air speed of 275 ft min Use the formula airflow duct area x air speed MY NOTES Step 2 The design calls for 11 air changes per hour Calculate the total air flow in CFM cubic feet per minute needed to meet the air change requirements for the space Round to the nearest hundred CFM Airflow required CFM to find the duct area needed Round your answer to the nearest tenth duct area sq ft round ASK

Directions Show and explain mathematical work for ALL problems Part I Multiple Choice Each question is worth 2 points 1 As shown in the diagram below when hexagon ABCDEF is reflected over line 7 A B C D E F A E B D C C m Im B A E F F Under this transformation which property is not preserved a area b distance c orientation d angle measure

Match the equation with its graph 16 O O 10 10 5 y 10 5 5 10 y 10 10 5 10 5 10 5 5 5 5 y 5

Listen Classify each angle pair as corresponding alternate interior alternate exterior or consecutive interior angles 1 2 3 4 910 1112 56 78 13 14 15 16 Corresponding angles Alternate interior angles Alternate exterio

Amari Perform the following conversions Marks as indicated 1 A cone shaped fuel tank has the following dimensions D 37 6 in H 42 3 in SHOW YOUR WORK FOR THE FOLLOWING QUESTIONS 7 marks Use the formula for the volume of a cone to determine the A total capacity of the tank r D 2 O Student ID 101313077 Score

Use the diagram below showing the concrete floor of a building At a cost of 30 per cubic foot find the cost of having the floor poured Round your answer to two decimal places 50 ft 25 ft 6 in

Use the diagram below showing the concrete floor of a building At a cost of 30 per cubic foot find the cost of having the floor poured Round your answer to two decimal places 50 ft 25 ft 6 in

Solve Use 3 14 for Find the volume of the bushing shown below Round your answer to two decimal places 857 6 X in 6 in 8 in 16 in 24 in

L4L CA Math Geometry A Credit 3 Quiz Question 10 B In the figure below ZCAB LCAD What additional information would be enough to prove A ABC A ADC by the Side Angle S A B C II Pause Q Zoom D AB AD BC DC LABC LADC LBCA ZDCA

2023 What is true about line segments AD and BD A B C E D B Line segments cannot be proven congruent Line segments are congruent due to the side side side congruence postulate Line segments are congruent due to the side side angle congruence postulate Line segments are congruent due to the side angle side congruence postulate Illuminate Education Inc

Question 11 Which postulate or theorem can be used to prove that AABC ADCB A B A B C SSS SAS ASA D

6x 7 J M If JL 16 and KM is a perpendicular bisector of JL determine which of the following claims are True A JM 8 B JK LK 5x 3 L D LK 17 True True C JK 11 True True False False False False

Question 8 th B C 2x 41 S 61 Which of the following is the value of PQ A 46 67 D 91 3x 16 7x24 Pause Q Zoom 4

Question 9 Use the figure below to answer the following question B Given that AD and BC bisect each other at E which of the following justifies A ABE A DCE A SSS Postulate B C C D SAS Postulate Definition of Segment Bisector Definition of Congruent Triangles

D W X A Which additional information would be enough to prove that AXWY ADEC B C C D Y ZY ZD ZY ZE ZW LC ZW ZE

B O D mi 1 2 E 4 3 If m 22 78 which of the following angles also measure 78 Select THREE that apply A 23 5 6 8 7 24 25 26 a 27 b

Read the question and enter your response in the box provided Use the tools and your keyboard to construct your response In the diagram line I and line m are parallel m 4 7x 5 and m25 5x 27 Solve for 778 1 7 8 6 4 5 1 3 2

Given PIIQ and T is a transversal which of the following justifies 23 26 2023 A B C D 5 6 8 2 4 Q Corresponding Angles Postulate Alternate Interior Angles Theorem Consecutive Interior Angles Theorem Alternate Exterior Angles Theorem Illuminate Education TM Inc

Question 7 8 6 4 2 1 2 8 Question 7 Triangle ABC is reflected over the line y 1 to produce triangle A B C 6 4 N C 4 6 8 2 2 Pause A 2 4 1 8 A What will be the coordinates of B 2023 Illuminate Education Inc Q Zoom X

Question 8 If ACDE were reflected across the line y x what would be the coordinates of ACD E 8 6 4 2 co 6 A 2 2 4 6 14 C 2 6 8 D E

8 6 4 2 A B C D 2 4 6 C 2 4 8 D E x 8 C 1 5 D 8 2 E 7 6 C 1 5 D 8 2 E 7 6 C 1 5 D 8 2 E 7 6 C 5 1 D 2 8 E 6 7

Question 7 Triangle ABC is reflected over the line y 1 to produce triangle A B C 8 6 2 6 4 2 1 2 4 4 2 2 B 6 4 1 8 A

4 Question 4 10 8 6 4 2 Question 4 If ATUV is translated to image ATUV as shown below by the rule z y z 8 y 3 what are the coordinates of ATUV 10 8 96 4 2 2 4 6 9 8 10 Y II Pause Q Zoom T U 2 4 6 8 10 X V

Write the equation of the circle in standard form Then identify its center and radius 9x2 9y2 72x 54y 104 0 Center Radius

Figure 1 B C Figure 2 Saorise claims that there is a sequence of transformations that carries Figure 1 onto Figure 2 Select ALL actions that she could take to justi A show that a rotation of 180 counterclockwise about the origin carries Figure 1 onto Figure 2 show that a reflection over the x axis followed by a reflection over the y axis carries Figure 1 onto Figure 2 show that a translation of 4 units right followed by a translation of 5 units down carries Figure 1 onto Figure 2 show that a rotation of 90 clockwise about the origin followed by a reflection over the x axis carries Figure 1 onto Figure 2 D Pause 5

E 10 8 6 4 2 O E A B C D F 8 co 6 41 G 2 2 A 16 10 2 4 6 8 10 G x y x 4 y 11 x y x 4 y 11 x y r 11 y 4 x y x 11 y 4

Find the standard form of the equation of the parabola with the given characteristics y 10 V 0 0 2 2 2 2

000 8 6 4 2 A A 6 B IMAGE 2 4 61 x 0 x 1 C y 2 PREIMAGE 2 6 8

If AOCD AJAL then which of the following statements are true 1 OC JA II E IV OD AL ZCOD ZAJL ZDCO A B C JAL I only II only I and III

Question 2 A triangle with coordinates A 1 1 B 4 2 C 3 5 is translated three units down and five units to the left What are the coordinates of the new triangle A A 2 4 B 1 3 C 0 0 A 4 2 B 1 1 c 2 2 A 4 2 B 7 3 C 6 0 A 4 2 B 1 3 C 2 6 B C D