2D Geometry Questions and Answers

Triangle QRS is similar to triangle TUV What is the measure of angle V XSA e OA OB OC OD 70 110 35 250

A circle has the equation x 1 y 3 16 What are the coordinates of its center and the length of its radius 1 3 and 4 1 3 and 16 1 3 and 4 1 3 and 16 Previous Page Submit Quiz Next Page 0 of 15 questions saved Page 6 of 13

What is the center of the circle with the equation 9 y x 2y 6x 6 2 6 2 O 3 1 3 1

The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are DA similar OB corresponding OC congruent OD equal to the original triangle and to each other

Find the geometric mean of the pair of numbers 169 and 4 OA OB C OD 36 26 46 31

is a statement that two ratios are equal A an OA cross product OB extended proportion OC proportion OD ratio

Solve the proporti 3y 8 y 12 5 OA 40 3 OB 10 OC 3 40 OD 7

Are the polygons similar If they are write a similarity statement and give the similarity ratio In AQRS QR 4 RS 15 and m R 36 In AUVT VT 8 TU 32 and m T 36 OA ASRO AUTV 2 15 OB AQRS AVTU OC OD 32 1 ARSO ATUV 2 The triangles are not necessarily similar

Write an equivalent ratic 8 min 12 min OA 2 3 OB 2 12 OC 36 48 OD 8 3

Solve the proportion 1 17 A 168 OA 882 OB 84 OC 32 OD 8

Find the value that makes the ratios equal 90 OA 10 OB 27 OC 9 OD D 3

In trapezoid ABCD the bases equal 10 cm and 20 cm What is the length of the midsegment OA 30 cm OB 20 cm OC 10 cm 15 cm

Complete the statement below The lengths of the midsegment of a trapezoid is OA half of OB double OC equal to OD greater than the sum of lengths of the bases

B An isosceles trapezoid has vertices at 2 1 2 1 5 1 and 5 1 Find the measure of each diagonal OA 13 OB 10 OC OD 4 53

Complete the statement below The OA midpoint OB median OC midsegment OD altitude of a trapezoid is the segment that joins the midpoints of the nonparallel opposite side

The vertices of the trapezoid are the origin along with A 16x 4y B 8z 4y and C 122 0 Find the midpoint of the midsegment of the trapezoid A 4x 5z 2y 9x 2y 10z 2y 8x 2y 0 0 A B OC

In quadrilateral PQRS P 0 0 Q a c 0 R 2a c b and S a b How can you use coordinate geometry to show that the diagonals are perpendicular OA Find the slopes of PQ and RS and show that their product is 1 OB Apply the Distance Formula to show that opposite sides PQ and RS are congruent Oc Apply the Distance Formula to show that opposite sides PS and QR are congruent OD Find the slopes of PR and QS and show that their product is 1

Which of the 3 trigonometry functions has the largest value when evaluating angle A sin A cos A or tan A A 2 75 O cos A O tan A 90 sin A 3 53 All the above are equal 2 23 K

x 2y 9 Pause and try MULTIPLE CHOICE QUESTION What variable are you solving for 2

100 Y Normal text Y Calibri 11 1 A rectangle with area of 74 a K 2 b K 0 5 2 Consider the two figures bel a What is the scale fac b What is the area of t

d rt C Format Box 8 and try What is happening to r in this probl it s being added to t it s being divided by t it s being multiplied to t it s being subtracted from t

Complete the process of solving the equation Fill in all missing terms and select all missing descriptions Simplify any fract 14 3r 2 9 19 42r 28 9 19 42r 19 42r 0 r Combine like terms Divide both sides by 42

Write down a formula for the perimeter of this regular shape Find p when s is 2 cm p

S The perimeter of a regular pentagon is p and the length of a side is s The formula fors is s p 5 Find the length of a side when the perimeter is 35 cm Write down a formula for p in terms of s P

You can drag the terminal point in the applet below to adjust the openness of the given angle As you drag the point the angle s measurement in radians 0 will be shown 0 0 01 By using the applet above fill in the table of values below Now sketch a graph of h 1 h T 2 0 0 3 2 7 2 7 3 2 2T cos 0 based on the information in the table above 2 cos 0 0

Find the value of x that maximize 0 in the figur 3 x 4

The following polygon has 15 sides The sum of the measure of each of it s exterior angles is going to be what Tynovour ancWOR

What is the measure of RQ in the following parallelogram P Q 1 4x 3x 3 S R

What is m B in the polygon below A 2x 9 E B 4x 1 110 3x 19 88 D C

In the figure shown m 1 1 What is m 1 20 50 4x 12 and m 2 40 76 6x 8

The measures of the interior angles of a polygon are 3x 10 5x 3x 1 and 2x What is the measure of the largest angle 125 27 135 155 115

The measure of each interior angle of a regular polygon is 156 degrees what is the number of sides

Sraph the trigonometric functi y 1 2 cos 3 2 x 3 Plot all points corresponding to midway between the function s

Consider the original region below Draw another region that fits each description d 4 times the area of the original 2 times the area of the original e f 400 more than the area of the original

2 A regular decagon is rotated about its center Which degree measure will carry the regular decagon onto itself a 140

4 The figure below shows a rhombus with noncongruent diagonals Which transformation would not carry this rhombus onto itself

For each of the following equations find all real solutions i e find the general solution Then find all real solutions in the interval 0 2 1 6sin 2t 3 0 2 2sin 0 cos 0 1 3 sec t 5 4 sin 3 t 7 sin t 7 0 5 5 sin a 2 cos a 0 6 3csc 3t 4 0

5 T 6 Sketch the polar region 1 rs 4 4 0 3

The Pentagon in Washington D C is a regular pentagon as shown What are the values of x and y in degrees A x 128 6 y 51 4 B x 120 y 60 C x 108 y 72 D x 72 y 108 A O O O B C WHAT D

Use the figure below to answer the question mAC A E If mzB 39 3 find mAC in degrees B D

To answer questions 36 38 use this equation tan x sec x 3 36 What is one identity used in the solution a sec x cot x 1 b sec x tan x 1 A c sec x cot x 1 d sec x tan x 1

33 What is the solution set 0 TT 2TT 3 3 a b C d TT 5TT 3 3 TT 2TT 3 3 5TT TT 3 3 I

14 5 44 sin 2Cos 11 An identity used in the solution is cos 2x 1 2 cos x cos 2x sin x cos x a b c sin 2x 1 2 sin x d sin 2x 2 sin x cos x

48 tan Sin 1 5 Cos 13 An identity used in the solution tanx tany 1 tanxtany a tan x y b tan x y c tan x y d tan x y 1 tanxtany tanx tany tanx tany 1 tanxtany 1 tanxtany tanx tany

41 sin Tan 1 0 6131 The answer is a 7761 b 5227 c 7761 d 5227

46 sin Cos Tan 1 An identity used in the solution a sin x y sin x cos y cos x sin y b sin x y cos x cos y sin x sin y c sin x y sin x cos y cos x sin y d sin x y cos x cos y sin x sin y

43 tan Cos 115 17 a b C d 8 15 856 15 15 8 15 The answer is

38 What is the solution set TT 3TT 5TT 7H 7TT 4 4 4 4 b 63 26 116 34 243 26 296 34 a TT 5TT 4 4 d 63 26 243 26 C

7 What is an intermediate step a cot x 1 b tan x 4 c tan x 1 d cot x 4

40 Cot 1 a b C d TT 6 1 33 2TT 3 5TT 6 TT 3 The answer is