2D Geometry Questions and Answers

For Exercises 1 to 8 use the figure provided A Exercises 1 8 E LU B D

10 Given Find ST SR is a diameter a mST b mTR c mSTR d m S SR in OQ HINT Draw QT T R

14 Given Find R S Right ARST with RT m STV 150 RS and ST T V 6 2

4 For the 30 60 90 triangle shown suppose that XX 2a Find a XZ b YZ 60 X 30 Z Exercises 3 4

Exercises 9 12 10 Given Find E D Right ADEF with m F 30 and FE DF and DE

ARST AFGH S H 90 1 40 R Find the missing length

Find the point on the unit circle for the given rotation of t 6 18 5 6 a t T b t 3 10 4 3 T

Given AC DC KARKD Prove AABC ADEC IG 9 Complete the Two Column Pro Statement 1 AC DC 2 AD Reas 1 G 12 3 ACBDCE 3 4 AABC ADEC 4

IF 3 If the triangles are congruent Identify the property Triangle Congruence Conjecture 4 Name the congruent triangles listing corresponding vertices in a ca EX AABC ADEF You can use the symbol to create the statement use the Insert If the Triangles are NOT congruent explain why the triangles can t be congruent what information is missing needed BU Font Family AA

10 Determine if the following triangles are congru If the triangles are congruent identify the property 47 SAS SSS O ASA O AAS Not Congruent

6 5 4 3 2 1 5 4 3 2 y 1 2 5 Write an equation for the function graphed above 1 2 3 4 5 6 Question Help Video

5 Each side of a rhombus measures 12 in If one diagonal is 18 in long how long is the other diagonal

1 Determine whether each triple a b c is a Pythagorean triple a 3 4 5 b 4 5 6 c 5 12 13 d 6 13 15

3 6 pts To approximate the area of a lake Cindy walks around the perimeter of the lake taking the measurements shown in the illustration Using these values estimate the area of the lake 50 125 100 50 70 100 50 1

Triangle ABC shown below has mZA 65 b 10 and c 12 Find the area of the triangle Round your answer to the nearest tenth and do not include units in your answer A 12 65 B 10 a C

6 pts To approximate the area of a lake Cindy walks around the perimeter of the lake taking the measurements shown in the illustration Using these values estimate the area of the lake 50 125 100 50 70 100 50

Write a sine function with the given characteristics Amplitude 5 2 Period 3 Phase Shift 15 Format your answer to look like this A sin w

AABC is similar to ADEF b D B c F 21 Find the measure of each angle a C C

Using both triangles ABC and HKQ match the following points or line segments with the terms that best describes them Centroid Orthocenter Median Midpoint Altitude E C 0 A Choose Choose Choose Choose Choose V

The figure shows a small plane flying at a speed of 184 miles per hour on a bearing of N47 E The wind is blowing from west to east at 46 miles per hour The figure indicates that v represents the velocity of the plane in still air and w represents the velocity of the wind Plane s speed 184 miles per hour 47 V W Wind s speed 46 miles per hour a Express v and w in terms of their magnitudes and direction angles COS OA v 184 cos 43 i 184 sin 43 j w 46 cos 0 i 46 sin 0 j O B v 184 sin 47 i 184 cos 47 j w 46 sin 0 i 46 L j OC v 184 cos 47 i 184 sin 47 j w 46 cos 43 i 46 sin 43 j OD v 184 sin 43 i 184 cos 43 j w 46 sin 0 i 46 cos 0 j

Pasadena Candle Inc budgeted production of 785 000 candles for January Each candle requires molding Assume that six minutes are required t mold each candle If molding labor costs 18 per hour determine the direct labor cost budget for January Hours required for assembly Candles Convert minutes to hours Molding hours Hourly rate Total direct labor cost Feedback Pasadena Candle Inc Direct Labor Cost Budget For the Month Ending January 31 1 413 000 min X min hrs Check My Work Use minutes for your base calculation and then convert to hours Compute the total minutes required to mold the number of candles produced Then convert to hours

In the figure below points F C B and A lie in plane X Points D and E do not lie in plane X For each part below fill in the blanks to write a true statement OFF B X E a Another name for plane X is plane b 4 0 0 and are distinct points that are coplanar c and C are distinct points that are collinear d ED and are distinct lines that intersect

The triangles are similar Find x and y X y D 5 ft 8 ft E 4 ft H 11 25 ft y ft

Given the following equation N2O g NO2 g Calculate AG rxn for the following reaction 3 NO g N2O g NO2 g Your Answer 3 NO g AG rxn 60 kJ

ABCD is a cyclic quadrilateral whose diagonals intersect at O If LDBC 70 and BAC 50 find DCB B 50 O 50 O 60 O 70 80 D O 70 C

Question 10 Points 1 The internal angle bisectors of a triangle O incircle O incenter O inradius O inscribed circle is a point of concurrence of the

Question 2 Find ZZWT 85 N O 15 85 90 O 120 Points 2 W T

Question 9 Points 3 PQRS is a cyclic quadrilateral whose diagonals intersect at O If ZRQS 45 and ZQPR 43 find ZSRQ S O 45 O 47 O 92 O 88 R

Question 6 Find the value of X G 105 O 50 O 105 O 75 Points 2 O 150 Xo E

Question 8 Find ZNOP P 96 180 90 50 Points 2 96 M N

Levi is standing at 16 feet from a grain silo The distance from Levi to a point of tangency on the tank is 25 feet How far is Levi from the center of the silo Q P 10 feet O24 feet Points 3 O 27 54 feet O 32 feet r 25 ft 16 ft R

Question 4 Find ZJ 136 O 136 O 44 O 180 Points 2 K

Question 3 Find the value of y S P 44 O 44 O 136 O 150 Points 2 180 yo R

Question 10 Points 1 Two inscribed angles of a circle intercept the same arc The measure of the intercepted arc is 90 What are the measures of the inscribed angles O 180 180 O 45 90 O 45 45 O 22 5 22 5

Question 8 Points 1 Find the relationship between inscribed angle and the intercepted arc in a circle O The measure of the intercepted arc is twice that of the inscribed angle The measure of the intercepted arc is half that of the inscribed angle The measure of the intercepted arc is equal to that of the inscribed angle O The measure of the intercepted arc is thrice that of the inscribed angle C

Question 1 Points 3 If m ADC 79 then find m EBC E D B O ZEBC 79 O ZEBC 101 O ZEBC 180 O ZEBC 360 C

Question 5 Which of the following is the measure of an inscribed angle with an arc measurement of 150 O 150 O 100 90 Points 1 75

Question 1 Points 2 O is the center of the circle Find the measure of zx and zy 50 X O x 25 and 2y 155 O x 50 and y 130 Ox 100 and 2y 80 2X 50 and 2y 40

Question 3 What is the measure of central angle with an arc measure of 120 O 120 O 60 O 240 Points 2 O 90

Question 10 Points 3 Which of the following best describes the translation rule and the scale factor of the dilation for transforming the circle C to C C 104 Y 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 3 1 2 3 5 d 7 8 9 2 C 56 7 8 9 10 Translation x y x 10 y 3 Scale factor enlargement ratio 1 2 Translation x y x 10 y 3 Scale factor enlargement ratio 2 Translation x y x 10 y 3 Scale factor enlargement ratio 2 Translation x y x 10 y 3 Scale factor enlargomont ratio 16 Re Re aft ass Qu

Question 4 Points 2 Which of the following transformations are used to show that any two circles are similar O Translation and Reflection O Translation and Rotation Ir

Question 4 Identify the measure of the missing side in the given triangle Round your answer to the nearest whole number X P114 O 10 O 14 O17 Points 3 O 25 28 38 2

Question 5 Points 2 Find the measure of angle B B 115 O 6 569 degrees O 7 624 degrees O 14 degrees O 14 3 degrees C 110 14 A

Question 7 The measures of three sides of a triangle ABC are 4 cm 6 cm and 8 cm respectively Find the obtuse angle in the triangle 94 Points 2 O 104 5 O 120 O 154 Reset Reset enabled this ass Questi 1 Res 3

Question 6 Points 3 The measures of the two angles are 56 and 26 and the measure of the side containing these angles is 5 6 m Find the measure of the smallest side of this triangle 6 68 m 4 53 m O 2 48m O 1 82 m Reser Reset enable this as Re Quest 1 3 5

Question 2 Points 2 Find the measure of side a 52 cm O 49 47 cm O 50 29 cm O54 40 cm a 75 16 cm

Question 9 Points 3 Circle A center 0 4 and radius 3 Circle B center 0 9 and radius 6 Which of the following is true in transforming circle B to A O Translation 5 units up and scale factor 1 12 O Translation 5 units down and scale factor O Translation 5 units down and scale factor 2 O Translation 5 units up and scale factor 2

Ques estion The two angles of a triangle ABC are 45 and 66 and the measure of the side containing these two angles is 3 cm Find the measure of the third angle O 69 90 O 111 180

Question 5 Points 2 Find the translation rule by transforming a circle C with center 2 5 of radius 3 units to circle C with center 3 3 of radius 6 units when C is transformed to C Translation x y x 5 y 8 O Translation x y x 5 y 8 O Translation x y x 5 y 8 O Translation x y x 5 y 3

Question 8 Points 1 Find the measure of the angle C in the triangle A 45 12 C O 75 90 O 105 O 150 C a 30 B