Geometry Questions

It is given that AC AD and CAB ZDAB A C B D Part A Write a paragraph proof to prove AABCAABD Explain in complete sentences each statem and reason Be sure to give the reason the two triangles are congruent Part B Now that you have proven the two triangles are congruent can you show that ZCBA ZDBA Fynlain your reasoning in a complete sentence

Use the factored form of the polynomial function below to describe its end behaviors x 2 x 3 x 2 x 1 0

Wire 1 41 34 ft 38 Wire 2 Based on the given information answer the questions below Round each answer to the nearest tenth Part A How tall is the pole Show your work Part B How far from the base of the pole does Wire 2 attach to the ground Show your work Part C How long is Wire 1 Show your work

Select the correct answer from the drop down menu On a number line point C is at 8 and the midpoint E of CD is at 3 Point D is at 229 on the number line

Sketch an angle in standard position such that has the least possible positive measure and the point 3 0 is on the terminal side of 8 Then find the values of the six trigonometric functions for the angle Rationalize denominators it applicable Do not use a calculator Choose the correct grach below DA OB C Oc 2

This is a vector wit 8 magnitude

Find the following u u v u 0 Q 30 43 12 7 C where is the angle form

Organize the following vectors in order from the longest to the shortest 4 4 4 5 6 Choose Choose 1 5 7 Choose 4 10 Choose 4th shortest first longest

7 18 12 12 0 5 08 14 44 6 The vector above has a magnitude 3 31 5 25

If b 15 7 then 1 6 9 8 7 5 6 5 LG

If 2 and 12 6 then 6 HA 9 8 7 6 5 4

Vectors can be Select one or more a scaled b subtracted c inverted Od squared

If a 3 6 5 1 and b 6 11 then a b

Given the vector 6 12 6 12 6 5 2 5 with a directional angle of

Find the sum of the following vectors 8 7 and 2 9 7 6 5

What are the possible sets of coordinates of a vector with components 4 8 Select one or more a 10 1 and 6 7 b 7 5 and 15 1 c 5 7 and 8 5 d 6 7 and 4 4

Graph the function f x 4 2 by moving the key points and the horizontal asymptote as needed Provide your answer below Cr 5 O 1 1 1 T 5

Given P x 3z 52 522 1132 400x 300 and that 5i is a zero write P in factored form as a product of linear factors Be sure to write the full equation including P z

Solve the absolute value in equality Graph the solution set and write the solution interval notation 4 5

Vrite equations of the horizontal and the vertical lines that pass through the given point 5 6 99 horizontal y 6 99 vertical x 5 horizontal y6 99x vertical x Sy horizontaly 5 verticalx 6 99 horizontaby 6 99 vertical x

Find an equation for the ellipse Graph the equation Center at 3 1 vertex at 9 1 contains the point 3 7 Write the equation Simplify your answer Tyng an equation using y and y as the variables

Consider the following function g x swer 1 x 4 tep 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed 1

Find a linear function h given h 9 40 and h 3 20 Then find h 1 h x Type an expression using x as the variable Simplify your answer h 1 Simplify your answer

Find the measure of the angle indicated 2 Find mZW V W 6x 16 5x 1I 137 U

solve each traingle ABC that exists B 27 3 degrees a 28 2 b 40 1

Evaluate the expression under the given conditions sin 0 tan 0 19 12 5 0 in Quadrant III sin p 2 10 10 In Quadrant I

find the exact value of the expession ot sin x 2

86 5 U Q f 6 the unknown arc K 60 Arcs and TS are congruent Find the measures of arcs UT and TS 154 120 7 Find the value of x R 155 J 6 11x H Find the measure of 22x 1

Determine the surface area of the geometric figure 3 2 ft 3 ft 2 4ft 3 2 ft 6 ft

The poin L A m O A LU B C D E F B in the graph below represents 4 5 25 O E 3 N D

Which polar coordinate point s represents the point 3 3 3 in the rectangular coordinate system Select one or more a 6 2 b 3 2 S C 6 5 d 6 2 164

Given the rectangular coordinate point 2 2 find the polar coordinate s Select one or more a 2 2 7 b 2 2 4 c 2 2 4 d 2 2

Which of the graphs below is the graph of the polar equation r 6 sin 60 when changes from to Select one O b a TT 10 10 TT 5fT 6 7TT 6 5TT 6 7 TT 6 211 3 4T 3 2 T 3 4T 3 10 TT 2 10 3TT 2 10 2 10 3m 2 5TT 31 TT 3 TT 3 5TT 31 TT 6 TT 6 11 6 0 10 11TT 6 10 20 20

Given the point 2 3 2 in the rectangular coordinate system what is the radius of the corresponding polar coordinate

The poin 18 amoa C D E F B 3 in the graph below represents 2 3 2 1 0 1 C 2 D

Which of the following is NOT a true statement Select one a In the polar coordinate r r is the distance from the origin O b A polar coordinate is represented by 0 r Where r is the distance from the origin and is the angle measured from th moving counterclockwise Oc In the Polar coordinate r is the angle measured from the x axis moving counterclockwise d A polar coordinate can be converted to a rectangular coordinate using r and sine and cosine

Given the rectangular equation 3x 2y 18 Choose the correct first step s in converting this to polar form Select one or more a 3rcos 2rsin 81 b 3 rcos 2rsin 9 c 3 I d None of these

When graphing the polar equation r 6 sin 60 as moves from to radius changes from 0 to 6

The point F in the graph has the coordinates 4 TT 3 2T 3 TT 4 4 3 5TT 3 5 3

Given the line 2x 3y 6 convert it into polar equation form What is the denominator of the polar equation when solved for r 1 30 r 2 x cos sin

Select one or more a x y b r c 0 r d r T a

Select the statements that are true Select one or more a In polar coordinates y is a function of x b There are infinitely many ways to represent a point in rectangular coordinates c All polar equations are functions d There are infinitely many ways to represent a point in polar coordinates

Find an equation of the ellipse drawn below then find its foci 0 Select one 1 FR a x 4 y2 9 1 b x 4 y2 9 1 foci 0 5 foci 5 0 c x 4 y2 9 1 foci 0 5 d x 4 y2 9 1 foci 5 0

Given that 0 8 n 0 X 1 1 x to x Identify its interval of convergence The series is convergent from with convergence in 1 1 find the power series for n 0 left end included enter Y or N right end included enter Y or N 2 25 1 3x5 with center

Choose the true statements about this conic section x 4 x 3 81 9 1 Select one or more a Opens to the left and right The graph is an ellipse b c Center 3 4 d Center 3 4

as follows American Full Size 12 9 Mid Size 18 21 Compact 12 Japanese European 8 For a single car chosen at random from the cars on this dealer s lot let A be the event that the car chosen is American and B be the event that the car chosen is compact a For a single car selected from this dealer s lot find P A and P AIB Explain your answers 4 pts 15 b Are A and B independent events Explain 2 pts 12 6 S

Which is the graph of the circle x y 10x 8y 5 0 Select one Oa b 0 5 10 5 10 L 5 10

the 5y 38 of x and y 8x 26 3x

The line y mx c intersects the circle x y a a maximum of Select one a 3 Ob 2 C 4 O d 1 points

For the parabola shown below Which is an accurate conclusion about this parabola Select one or more a Focus 0 3 b c d directrix y 4 25 The vertex is at 0 4 V x 2 x 2