2D Geometry Questions and Answers

Find the areas of the sectors formed by ZNMP Round your answers to the nearest hundredth of a square centimet N 10 cm 120 M L The area of the small sector is about on of the large sector is about square centimeters square centimeters

ind the radius of a circle with a circumference of 49 yards Round your answer to the nearest hundredth of a yard he radius of the circle is about yards

Graph the image of trapezoid FGHI after the following sequence of transformations Reflection across the x axis Translation 18 units left 14 12 10 8 6 4 2 8 6 4 2 2 4 6 8 10 12 14 y 2 4 6 H 8 10 12 14 G F ES

Find the lateral area of the prism Round to the nearest tenth if necessary 9 12 a 456 units c 184 units 8 5 b 225 units d 429 units

Graph the image of square TUVW after the following sequence of transformations Rotation 90 counterclockwise around the origin Translation 14 units right and 13 units down 14 12 10 8 6 4 2 08 6 4 2 2 4 6 8 Y W U V 2 4 6 8 10 12 14 X ES

Which of the following graphs have Euler circuits or Euler trails V H N T P S A Has Euler trail A Has Euler circuit M Y R L C Has Euler trail C Has Euler circuit L S K M R N T I B Has Euler trail B Has Euler circuit U 0 P H V D Has Euler trail D Has Euler circuit

3 Write an equation of a line in slope intercept form which is perpendicular to the line y x 4 anc passes through the point 10 2 Fractional answers only 8 pts

S 7 Area and perimeter in the coordinate plane II MHQ Graph square EFGH with vertices E 5 4 F 5 0 G 1 10 and H 9 6 104 10 8 6 8 6 4 2 4 2 0 2 4 6 8 2 4 wwwww venres 6 80 X 10 What is the perimeter of square EFGH Write your answer as an integer or as a decimal rounded to the nearest tenth Perimeter units 10

OS 7 Area and perimeter in the coordinate plane II MHQ Graph quadrilateral FGHI with vertices F 0 1 G 5 2 H 10 3 and I 4 2 104 10 8 6 4 2 8 6 4 2 0 2 4 6 8 2 4 6 00 8 X 10 10 What is the perimeter of quadrilateral FGHI Write your answer as an integer or as a decimal rounded to the nearest tenth

What is the perimeter of AWXY 10 8 W 6 4 2 104 78 6 4 2 0 2 4 6 8 2 4 6 Y 00 10 X 10 Write your answer as an integer or as a decimal rounded to the nearest

What is the total payment required to pay off a promissory note issued for 800 00 at 8 ordinary interest and a 180 day term A 814 40 B 808 00 C 840 00 D 832 00

Write an equation for the hyperbola shown in the graph y 2x

Draw step by step the square surface 3x 2 y 2 3z 2 4xz 2 0

Draw step by step the conical surface 3x 2 y 2 2 3xy 8x 8 3y 0

Installment Loan Principal 4000 00 Term Length Interest Rate 4 years 12 Monthly Payment 105 00 A 81 00 B 65 00 C 24 00 D 40 00 When the principal left on the loan is 2400 how much of the next payment will go towards interest

The dimensions of a triangular lot are 198 feet by 102 feet by 195 feet If the price of such land is 3 per square foot how much does the lot cost The lot costs Do not round until the final answer Then round to the nearest cent as needed

14 foot ladder leans up against the side of a building so that the foot of the ladder is 7 feet from the base of the building If specifications call for the ladder s angle of elevation to be between 45 and 5 degrees does the placement of this ladder satisfy safety specifications The ladder s angle of elevation is and Select satisfy safety specifications Select does

9 Look at the diagram Which of the following is another name for 21 A C 1 2 D

Find the perimeter of the triangle round to the nearest tenth 9 8 7 6 5 4 3 2 1 2 3 4 5 6 7 8

The graph shows a parabola What are the coordinates of its vertex 104 10 8 6 4 2 8 6 4 2 0 2 6 8 2 4 6 8 10 X

If m BC in circle A is 60 what is mzBDC B A 60 B 45 C 30 D 25 A C D

y 2 6x x2 Find the vertex of the graph of the equation x y

Suppose you know the cost for building a rectangular deck measuring 9 feet by 12 feet If you decide to increase the dimensions to 15 feet by 20 feet by how much will the cost increase The cost of the deck increases by a factor of Simplify your answer Type an integer or a fraction

A B C D C A 10TJ 2 4 2 4 4 2 2 4 54221LSSO 9 8 7 6 3 10 9 8 7 6 5 4 3 2 10 1 2 3 4 5 6 7 8 9 10 1 23456 In the next step of the pattern shown in the graphs above what will be th coordinates of point D 7 8 9 B 10 10 J 99676 8

The graph of y f x is shown below Draw the graph of y f x

Step 2 of 3 Graph the solution set of the second linear inequality Answer 2 Points The line will be drawn once all required data is provided and will update whenever a value is updated The regions will be added once the line is drawn Enable Zoom Pan Choose the type of boundary line O Solid O Dashed Enter two points on the boundary line 0 6 OC Select the region you wish to be shaded 0 D 10 5 Keypad Keyboard Shortcuts 10

Ex 4 Find each length Round to the nearest hundredth 4a DF 4b ST 4c BC A 12 ft 7 A 51 N 17 m 18 33 in 25 Ex 6 Write the Sin T as a fraction S 60 B 4d JL K Ex 5 Find all the angle measures and side lengths for the triangle 42 9 5 in 27 13 6 cm L U

12 RE tan A sin A cos D in D Determine whether each equation is correct or incorrect 11 12 13 12 13 12 5 D correct incorrect

E F D A z 53 sin 41 53 sin 49 C 53 cos 41 53 cos 49 Select all of the following that can be used to find the height of the tree B I 2 x 53 tan 41 x ne the height z of a nearby tree She stands 53 feet from the tree The measure of the angle of elevation from Katherine s feet to the top of the tree is 41 53 tan 49

8 Leo designs the skateboard ramp shown in the diagram 23 h 129 in Enter the height of the ramp h in inches Round your answer to the nearest whole inch Inches When finding sine cosine or tangent of an angle be sure your calculator is set to degrees On the embedded calculator click the Wrench icon Graph Settings and se

Consider parallelogram GHJK below H J G K Note that GHJK has vertices G 5 5 H 1 1 J 1 2 and K 7 2 Answer the following to determine if the parallelogram is a rectangle rhombus square or

What shape is the cross section of the cone when sliced parallel to its base O A Square B Rectangle C Circle D Triangle

For the rhombus below find the measures of Z1 Z2 Z3 and 24 2 1 4 3 57 m Z1 m 22 m 3 m 24 8000 0 X

13 3 5 What is the surface area of this solid OA 47 1 B 37 68 C 50 24 D 40 82

5 Find the value of a that makes ABIGATOE B 6 52 3 9 T 2 3 5 2x G E

riangle 1 has an angle that measures 26 and an angle that measures 53 Triangle 2 has an angle that measures 26 and an angle that measures a where a 53 ased on the information Frank claims that triangle 1 and triangle 2 cannot be similar What value of a will refute Frank s claim

Consider parallelogram VWXY below Use the information given in the figure to find mZY m ZYXV and x V Y 3x 12 85 58 X W m2 Y mZYXV X

to complete the proof of the following theorem If a quadrilateral is a parallelogram then its opposite angles are congruent By definition a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel Use this definition in your proof B C A Statement D Given ABCD is a parallelogram L Prove A ZC 1 ABCD is a parallelogram 2 AB 3 AD II 4 ZA and 5 ZA and 6 B 4 7 2C and are supp angles 8 ZA ZC are supp angles are supp angles Reason Given Definition of a Parallelogram Definition of a Parallelogram Reason Reason W Ifs are supp to the same they are Reason Reason

Use the given information to complete the proof of the following theorem If opposite sides of a quadrilateral are congruent then it is a parallelogram By definition a parallelogram is a quadrilateral in which both pairs of opposite sides are parallel Use this definition in your proof R S Given QR ST 3 4 1 QR ST 5 1 2 QT RS 6 2 7 4 3 Statement 40 40 41 40 4 2 40 QR QT RS Prove QRST is a parallelogram 8 QT II 9 QRST is a parallelogram Reason Given Given Reflexive Property Reason CPCTC Property CPCTC Property Reason Reason Reason

The convex polygon below has 5 sides Find the value of x 81 135 to 106 110 X 0

Find the value of x to 124 81 80 X

Classify the segment in each part below Only use the Information given in the figure Do not assume measures are equal unless the markings Indicate they are If necessary you may learn what the markings on a figure Indicate a Select all that describe GI O Perpendicular bisector of FH Angle bisector of G Median of AFGH Altitude of AFGH None of the above b Select all that describe VW Perpendicular bisector of XY Angle bisector of Z Median of XYZ Altitude of XYZ None of the above c Select all that describe AD Perpendicular bisector of BC Angle bisector of A Median of ABC Altitude of ABC G B D H

3 Tyler bought a wedge He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters Priya bought a wedge that came from a circular cheese block with radius 9 centimeters The block was cut into 6 congruent sectors Whose wedge is larger Explain or show your reasoning

Parallelogram ABCD is shown below Give the coordinates of C B p q A 0 0 c D r 0 COD

A triangle on a sphere could have O A 175 OB any number of O C 180 OD 185 degrees

about the origin 8 6 4 C e B A 360 B 180 C 90 D 270 2 8 6 4 2 6 2

Which of these terms does not describe polygon AB C O 6 4 8 A image 8 6 D reflection 4 2 A 4 50 00 d 8 B preimage C translation V 8 B

In the straightedge and compass construction of the equilateral triangle below which of the following reasons ca you use to prove that JL KL Select all that apply D JL and JK are radil of the same circle and JK and KL are radii of the same A circle so JK JL and JK KL JL and KL are both congruent to JK so JL KL JL and XL are radii of the same circle B and JK and JL are radil of the same circle so JL KL and JK JL C D JK and JL are radil of the same circle and JK and KL are radii of the same circle so JK JL and JK KL and JL KL JL and KL are radil of the same circle so JL KL

1 12 km VOLUME SURFACE 7 km 18 km

Rhombus KLMN is shown below Give the coordinates of L and K M s t P 2 2 K N 0 0 L D K 0 X