Geometry Questions

5 P P T 24 6 cm TC 3 cm 310 AC 8 cm A s this an Isosceles Trapezoid Yes or No 6 RA 9 cm P 270 T 11 cm TC 18 6 cm R AC A Is this an Isosceles Trapezoid Yes or No

T P 50 R 34 26 A s this an Isosceles Trapezoid Yes or No 4 T P46 R 940 26 A Is this an Isosceles Trapezoid Yes or No

34 f x x 5x 6 4x 4 48 6 4 2 8 6f 4 2 2 61 8 6 X

D 13 Given the following parallelpiped state whether each of the following statements is true or false Explain a HC HG GC b AE EH HD CB E

that describes plotting points with polar coordinates Click here to watch the video Plot the point 3 150 Then find the rectangular coordinates of the given point Choose the graph of 3 150 below OA OB 180 O C 180 90 270 90 0 0 180 O D 180 90 270 90 0 0 Q A

14 In the following diagram x and y represent adjacent sides of a parallelogram Does x y x Explain A B y D

Does JM bisect J Explain cmpo 15 M

CD bisects C Solve for CA AE 21 8

Does JM bisect J Explain 15 L 5 M 6

symm Jennifer draws the rectangle ABCD Find all rotations and reflections that carry rectangle ABCD onto itself

What is the image of the point 6 2 after a rotation of 90 counterclockwise about the origin

For each figure determine how many lines of reflection and how many angles of rotation will carry the figure onto itself B

What is the image of the point 5 4 after a rotation of 270 counterclockwise about the origin

Follow the guided instructions below to rotate the figure 270 clockwise about th origin Draw a circle centered at the center of rotation such that one of the vertices of the figure is on the circle 10 9 8 7 6 5 4 3 2 1 10 y 9 8 7 6 5 2 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 X

Does JM bisect J Explain Nound 15 L 5 M 6

Solve for x 15 2r 4 18 8

Complete the following problems after the mini lesson CD bisects C Solve for CA D 11 22 B

Tyler says that since triangle ACD is similar to triangle ABC the length of CB is 11 96 Noah says that since ABC is a right triangle we can use the Pythagorean Theorem So the length of CB is 12 exactly Do you agree with either of them Explain or show your reasoning AD 5 4 6 13 B

Next draw CD perpendicular to AB as shown in the next figure Label the red triangle as triangle 2 The blue triangle as triangle 3 How many triangles do you see in the figure Why are the three triangles similar to each other

a Determine if each transformation represents a translation rotation reflection or none CC D How I know b A B 7 A How I know B C C A A B B 02 How I know C

Next draw CD perpendicular to AB as shown in the next figure Label the red triangle as triangle 2 The blue triangle as triangle 3

Symmetry For each figure determine how many lines of reflection and how many angles of rotation will carry the figure onto itself B

Triangle 1 green is the original right triangle we started with Triangle 2 red is the other triangle formed by constructing CD Its right angle is angle D By comparing these two triangles we see that Therefore a cp Now let s complete the proof By adding the two equations we will get What do we notice about the side length p q So we can substitute p q for a b cp cq a b c p q By substitution we get a b c

1 3 2 4 8 60 10 7 9 11 5 59 6 m21 m 2 m23 m24 m25 m26 m27 m28 m 9 m 10 m 11

As shown in the figure AABC satisfies ZABC 30 AB 4 take the circumcenter of AABC as the center to make a circle I AABC is within I extend AB to intersect I at D extend BC to intersect I at E if BD 6 CE 5 find the area of T E A B D

as a zero 1 In Geogebra create the following function f x y 2sin x cos y which will plot the surface defined by the function and plot point A for the value in the function s domain The point should be a 3D point on the surface

44 Interpret a government spending multiplier of 7 5 points

Find the exact value of the expression if possible If not possible enter IMPOSSIBLE a cos arc sin b sin arc tan

The likelihood of falling into an alcohol induced coma is highest when consuming Group of answer choices 5 alcoholic drinks in 2 hours a whole 750 mL bottle of whisky in 2 hours a whole 750 mL bottle of beer in 2 hours enough alcohol to raise blood alcohol levels above 0 55

8 Find the area of the region inside r 4 sin but outside r 2

9 Find the slope of the tangent line to the polar curve r when 0

5 A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at 0 degrees from the horizonta Find 0 if F 5 100 pounds and W 14 000 lb Approximate the answer to one decimal place 21 4 22 4 23 4 20 4 19 4

6 Select a value for b such that a triangle with A 59 and a Ob 15 O b 24 O b 16 O b 11 Ob 17 14 has only one solution

28 In the figure a and are positive angles CL a 9 b 18 e 20 e C

19 Find the magnitude and direction angle of v 2i 6j Round the direction angle to the nearest degree O 67 0 279 O v 2 10 0 252 O lv 30 0 239 O v 2 13 0 260 ly l 3 7 A 269

21 Given C 119 B 42 and c 15 use the Law of Sines to solve the triangle for the value of a Round your answer to two decimal places a 7 3 O a 6 81 O a 4 36 O a 19 61 a 5 58

6 To approximate the length of a marsh a surveyor walks 275 meters from point A to point B then turns 76 and walks 245 meters to point C se figure Approximate the length AC of the marsh where a CO a 245 m b 275 m B b A

4 Given A 50 B 74 and c 8 use the Law of Sines to solve the triangle for the value of a Round your answer to two decimal places O O A a 7 39 a 6 38 a 8 66 a 6 9 a B

12 Determine the area of a triangle having the following measurements Round your answer to two decimal place B 84 38 a 7 and c 8 22 30 sq units 27 88 sq units 25 09 sq units 33 45 sq units

17 At what angle A shown below should the support for 0 5000 5 75 4 2 9375 6 5 A 3 0625

In the figure below a 9 b 11 and d 13 Use this information to solve the parallelogram for x The diagonals of the parallelogram are represented by c and d Round your answer to two decimal places X b a 8 ficuno no drawn to gaala

11 Use the Law of Sines to solve if possible the triangle If two solutions exist find both Round your answers to two decimal places A 60 a 13 b 11 6 B 50 6 C 69 40 c 14 05 B 29 C 91 c 13 B 69 40 C 50 6 c 11 6 B 91 C 29 c 14 05

5 Given C 116 a 13 9 and c 9 3 use the Law of Sines to solve the triangle if possible for the value of b If two solutions exist find both Rou your answer to two decimal places b 1 99 and 6 31 b 1 06 and 6 44 b 4 43 not possible b 7 68

Use the law of Cosines to solve the given triangle Round your answer to two decimal places a 9 b 4 5 C 110 b C a B

ladder of length 10 ft has a distance of 6 ft from a wall To what height does the ladder reach wall 10 ft ladder 6 ft O 1 8 ft O 2 60 ft O 3 16 ft 4 4 ft

Consider the following sin 10 cos 0 a Eliminate the parameter to find a Cartesian equation that represents the curve 2 F Cloudy X sin CHOICE A b Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases CHOICE B 0 CHOICE C y 0 0 5 0 5 y 0 2 0 4 0 6 0 8 1 0 y 0 2 0 4 0 6 0 8 TE SOST 1 0 0 5 0 5 Q Search X 1 0 CHOICE D 1 0 0 5 0 5 y 1 0 0 8 0 6 0 4 0 2 0 8 0 6 0 4 0 2 0 5 0 5 1 0 1 0 A

Find the total area of the shaded regions 6 RE 16 x 16x U COB The total area of the shaded regions is Type an integer or a simplified fraction

equation below gives parametric equations and parameter intervals for the motion of a particle in the xy plane Identify the particle s path by finding a Cartesian equation for it Gra Cartesian equation Indicate the portion of the graph traced by the particle and the direction of motion x 5t 6 y 25t o t Find a Cartesian equation for the particle s path 10 y Graph the Cartesian equation below Indicate the direction of motion as t increases Choose the correct graph below OA O C OB 10 10 A TO Q 14 A point s possible This question 4 point s possible Q Indicate the portion of the graph traced by the particle Select the correct choice below and if necessary fill in the answer box to complete your choice A The portion of the graph where t is greater than B The entire graph C The portion of the graph where t is less than OD Sul

10 Consider the function y 3 x 2 8 a State the transformations the b Graph the parent function c Graph the transformed function 1K Show your work in the table below or graph all the transformations on the grid provided In 8

Theorem 3 12 Lines Perpendicular to a Transversal Theorem In a plane if two lines are perpendicular to the same line then they are parallel to each other If m 1 p and n 1 p then m n Notes Extra Practice In Exercises 1 4 find the distance from point A to BC Ay 1 3 3 0 A B 4 B 1 3 2 3 4 A 3 3 4 2 Ay 4 C D 0 1 3 2 D 1 2 4 x 2 C 1 1 4 x Use the distance formula for 1 4 2 4 A 3 4 4 2 4 2 Ay 4 2 2 C 1 4 D 0 4 D 3 2 B 4 A 1 3 C Am n FF 4 1 X 3 2 B 1 2 4 x