2D Geometry Questions and Answers

6 Find the value of x 6 4 X 8 Find the area of the shaded sector A C 13 Awal 51 6m B the the clock

For the quadratic function defined a write the function in the form P x a x h k b give the vertex of the parabola and c graph the function P x x 6x a P x Simplify your answer Use integers or fractions for any numbers in the expression b The vertex is Simplify your answer Type an ordered pair using integers or fractions c Use the graphing tool to graph the function 4

Bonus A Given the following triangle ABC with incenter at O and distances to nearest sides intersecting the sides at points D E and F Prove that the following three segments are congruent OD OE OF Le the Incenter has the same distance to each of the three sides Suggestion use congruence for appropriate triangles D C EF B

In circle T with m STU 46 and ST 20 units find the length of arc SU Round to the nearest hundredth U T S

In circle R with m QRS 134 and QR 6 units find area of sector QRS Round to the nearest hundredth S R 1

The figure below represents of a full circle Find the measure of the marked central angle

The figure below shows part of a circle with central angle as marked What part of the full circle does the figure represent Express your answer as a fraction in simplest terms 100

Determine the equation of the circle with radius 111 and center 9 5

3 A The image shows quadrilateral ABCD Prove that quadrilateral ABCD is a square 1 Compare Slopes AD DC CB BA 3 4 9 4 3 16 ii Compare Sides The opposite sides are congruent so they are Pararel 33 35 16 25 9 25 5 25 B Find the perimeter of ABCD Explain or show your reasoning add all sides 5 5 5 5 25 5 C Find the area of ABCD Explain or show your reasoning LXW SXS 5 Same slopes all the sides are the same So its a square D A C

Determine the equation of the circle graphed below 10 9 8 7 6 5 4 3 2 1 10 9 8 7 y 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 O 10 X

below 10 9 8 7 D 5 4 3 2 1 10 9 8 7 16 LO 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 01 4 5 6 7 8

Watch help video Find the center and radius of the circle represented by the equation below x 6 y 14 400 Center

Given the circle below with chords GH and IJ Find the length of HK Round to the nearest tenth if necessary G 24 41 I 23 K J H

below 10 9 8 7 6 5 4 3 2 1 O 10 y 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 8

Given circle E with radii EG EF and EH and chords IG and FH IG FH Name an angle that has the same measure as ZEHF G H E I

Apr 18 8 00 14 PM Given the circle below with secant VUT and tangent ST find the length of ST Round to the nearest tenth if necessary V Answer 7 S U 9 Submit Answer T

Given circle P with radii PR PQ and PS and chords TR and QS TR QS Name an angle that has the same measure as ZPRT T P R S

4 In the given diagram AD is a diameter m AB 60 and BD 8 units How long is the diameter Round to the nearest hundredth if necessary h f 4 g 4 61 h 5 65 i 6 82 j 6 D B C A C

10 Given that KLMN is a Rhombus solve for x y L 3x 4 9y K M 2y 5 x 20 N

Radius Diameter Secant Center 1 EXPLAIN the relationship between arc AE AFE and ADE C B A D 2 EXPLAIN the relationship F C m ABC is related to mDE and m AC A B D E E K

QUESTION 1 Compare the two grading systems below Round to the nearest hundredth Grading System A Tests 30 Projects 30 Class Discussion 25 Final Exam 15 Grading System B Tests 40 Projects 20 Class Discussion 20 Final Exam 20 a You have the following averages in each category Tests 88 Projects 80 Class Discussion 84 Final Exam 85 What is your class average for each grading system Explain which system you would prefer 000 What

6 6x 120 140 150 Solve for x Ex 8 130 5x 6 Ax 14 to

2 mAB A A 30 degrees B 45 degrees C 80 degrees D 90 degrees G In circle F AD BE and CG are diameters m EFG 30 and m ADE 45

1 O A B B A A 12 degrees B 24 degrees C 48 degrees D 69 degrees F E In the diagram for this problem BE CF mAB 48 and mBC 42 What is the measure of angle D D

3 On the concentric circles centered at A the measure of arc BD 40 What is the measure of major arc FEG A 210 B 220 C 215 D 205 E G

3 In the given diagram of circle A m BC 130 and the radius is 12 units What is the length of chord BC Round to the nearest hundredth if necessary a 12 b 15 45 C 21 75 d 24 e 26 63 D B

find the measures of the rhombus m 1 m 2 m 3 2 G

D Leonardo finds the surface area of cube 9 cm 7 Leonardo can find the area of one square and multiply it by 6 to find the surface area 8 The surface area is 486 cm

fa 3 mi Wizz 5 mi 9m 4 mi Find to the nearest tenth the volume of this solid 8m V 2 32 25 bth b h 4 7m 125 7 4 2 V 8mi 3 4 3 78 9 19277 11 A softball has a volume of 125 in Find the diameter of the softball 6 2778 27 4487 V Clams 25 25 6 25 4 3 3 d 5 2 The moon has a radius of 1300 km The earth has a radius of 5934 km How many times as large is the volume of the Earth as the volume of the moon round to the nearest whole number

Is the following credit card valid Explain PNB ESSENTIALS 5000 7512 3412 3456 19 MARIE PEREZ 12 23 mastercard

Complete this quiz to finish the assignment for ALG 2 P In the pictured triangles what reason can v congruent to angle SPT S P R

Suppose you entered the check digit as an 8 instead of a 7 when recording the UPC number 1 68426 48321 7 Explain why the computer will detect this error For the toolbar press ALT F10 PC or ALT FN F10 Mac

Is the following UPC number valid or invalid 22334 54545 0 O Valid sum is 80 Invalid sum is 80 O Valid sum is 68 O Invalid sum is 68 3

Is the following UPC code valid or invalid Explain 8 92685 00100 8 For the toolbar press ALT F10 PC or ALT FN F10 M

What is the check digit number for this bag of Hershey Kisses with the following UPC code 0 34000 12080 d family Bag 2012 KISSES milk chocolate

me Graph the following and state the amplitude period phase shift horizontal translation vertical domain range and the equation of the sinusoidal axis displacement translation a y 3sin 2 x 45 3 Amplitude 3 Period TT S A y 3 Phase Shift 45 vertical displacement 33 Domain XER

QUESTION 3 Given the point in polar coordinates find tw 0 8 4x m 8 8 5x

QUESTION 20 Convert the ordered pair in rectar 0 2TT 7 3 7 5x

QUESTION 8 Use symmetry to graph the polar curve an r 6sin 50 Rose 5 petals Limniscate

1 In circle B above mzABC 46 and AB 5 in a Determine the area of the circle to the nearest tenth b Determine the area of the sector ABC in terms of c Determine the arc length of AC to the nearest tenth 5 in B 46 C

6 a Given that AC 1 BD determine the measure of ZBOC a 180 b 90 c 360 d 270 B D b What is the percentage of the circle that is shaded How do you know

4 Find the area of the shaded sector W 49x 6 175 4 112K 9 27 2 DO m m 30 m 110

2 A circle s sector has an area of 108cm and the sector intercepts an arc with length of 12 cm Find the liameter of the circle

3 In the diagram of circle O the circle shown has a radius of 8 in The area of sector AOB is Determine the mZAOB A B

A 5 8 09 Review Find the value of x B 52 X 13 a 21 1 b 8 0 c 10 2 d 16 5 C

be Ex 3 The lengths of two sides of a triangle are 6 centimeters and 11 centimeters Find the range of possible lengths for the third side

points A B C and D are on circle O m AOD 114 degrees and m BCD 40 degees determine m AEB and m DCF

Not so Basic Proofs and More Given AC bisects BD AB AD Prove AABC AADC B Given QP bisects ZRQS QR QS Prove ARQP ASQP Given JL bisects ZKLM ZK ZM Prove AJKL AJML K R D

Given AE bisects BD ZA ZE D D B Given AC LDB and D is the midpoint of AC A B

Use the diagram to answer the following questio The diagram shows AABC y A Which of the following statements would prove A distance from A to B distance from B to C