2D Geometry Questions and Answers

Find the area of each regular polygon Round to the nearest tenth 1 2 8 m 10 cm

34 Yukar daki birimkare zeminde verilen mavi renkli noktadan ikisini k e birini a rl k merkezi kabul eden bir genin alan ka birimkaredir A 20 O B 21 C 22 D 24 E 30

4 Kite R 5 7 S 2 6 T 5 3 V 4 0 RT SV Slope RT Slope SV

2 Rectangle M 3 2 N 4 1 O 2 3 P 3 0 MO NP Slope MO Slope NP

Graph each quadrilateral draw its diagonals for each diagonal find the length d x x y y and the slope m then describe the properties of that quadrilaterals diagonals 1 Isosceles Trapezoid A 3 2 B 4 2 C 4 2 D 3 2 AC BD Slope AC Slope BD

20 As shown in the diagram below the angle of elevation from a point on the ground to the top of the tree is 34 34 If the point is 20 feet from the base of the tree what is the height of the tree to the nearest tenth of a foot 1 29 7 2 16 6 3 13 5 4 11 2

Write an equation for the y 3 x 3 1 y 3 x 3 1 y 3 x 3 1 y 3 x 1 3 If you are writing the equation of a line in Point Slope form and given these two points 5 6 and 2 1 Check all boxes that are correct below y 3 5 x 5 2 y 5 3 x 6 1 y 5 3 x 2 1 y 3 5 x 2 1 y 3 5 x 5 6

JK J M G K 15 L P

A rhombus is a parallelogram with four congruent sides perpendicular diagonals and the diagonals bisect a pair of opposite angles A square is a parallelogram with all the properties of a rectangle and rhombus RHOM is a rhombus Find the unknown measures Treat each problem independently 5 If OB 2x 1 and BR 3x 10 then OR 6 If RM 18 then RH OH OM 10 7 If m22 48 then mZMOH M R 4 3 B 8 5 6

For problems 1 9 use rectangle QUAD Treat each problem independently 1 If DP 4x 1 and PA x 13 then DP 2 If m 2 12x 4 and m23 16x 12 then m23 3 If m25 12x 3 and m 6 10x 9 then mZ4 D 4 If m23 18x 8 and m 6 70 4x then mZ6 8 6 4 7 1 3 A

A kite is a quadrilateral with two pairs of adjacent congruent sides LMNP is a kite Find the unknown measures 12 If MN 4x 5 and NP 6x 1 then MN 13 If mZLMP 58 and mZLPM 7x 2 then x 14 If mZMON 8x 14 then x M

0 A trapezoid is a quadrilateral with exactly one pair of parallel sides In an isosceles trapezoid the legs both pairs of base angles and the diagonals are congruent TRAP is an isosceles trapezoid Find the unknown measures T O If TP 2x 3 and RA 3x 2 then TP If mZTPA 63 then mZRAP and m PTR P R

ABCD is a parallelogram Find each unknown measure 3 If DE 6 then EB DB B E C D 4 If AD 3x 6 and BC x 18 then x AD A E D

What is the area of the figure Round to the nearest tenth 9 ft 5 ft 13 ft O 55 0 ft O 81 0 ft O 45 0 ft C 1080 2

In 13 18 Tell whether the statement is true or false If false explain why 13 A trapezoid is also a parallelogram 14 A square is also a rhombus 15 Diagonals of a rectangle are perpendicular 16 A parallelogram has exactly one pair of opposite angles congruent 17 A square has diagonals that are perpendicular and congruent 18 All quadrilaterals have supplementary consecutive angles

Geometry Worksheet 9 6 all of the quadrilaterals that have the given characteristic 1 all sides congruent 2 diagonals congruent 3 no parallel sides 4 diagonals bisect each other 5 two pairs of parallel sides 6 all angles congruent

3 To the nearest tenth find the perimeter of isosceles triangle IEF E 73 12

9 10

In 7 12 Identify all of the terms from the following list that apply to each figure quadrilateral parallelogram rectangle square trapezoid rhombus kite 7 8 H

11 12

A helicopter is flying at an altitude of 222 meters at an angle of depression of 43 to its landing pad What is the distance d between the helicopter and the landing pad Round your answer to the nearest whole number 43 222m Landing Padi

5 Q R Z 4 Y X 105 P

13 In 10 15 Find the measure of the numbered angles in each Kite 10 1 2 22 11 45 12 1 54 90 1 2 2

6 B 60 C

13 64 1 3 14 50 13

ht 3

In 6 11 Find the measures of the numbered angles for each parallelogram 6 1 80 m21 7 1 2 8 110 3 140 3 1 2 m2 m2 ml mz2 mz3 mz3

5 G E D H F FD 8x 8 DG 3x 12 x FD

4 4 5 For each rhombus find the indicated information 3y 7 x y 31 2x 7x 4 length of each side 6y 11 5 E F G X FD FG H m24 FD 8x 8 DG 3x 12

1 Geometry Worksheet 9 4 each rhombus find the measure of the numbered angles 2 29 1 2 2 3 52 2 3 4 3 4 20 m2 4 mz2 3 mZ3 m4 m2 mz2 m 1 mz2 mz3 mZ4 mz3 m 4

6 Find the volume of the solid produced by rotating this two dimension shape using the axis shown Lesson 5 11

What is mTU 2x 3 V U 2x T 95

What is mGH 19x 89 2x 74 H G mGH o 19x 77 I

7 n 8 ft 6 ft A fast food restaurant stores its cooking oil container with the dimensions shown What is the maximum amount of oil that the restaurant can store in the container 10 A 4 R Mint Lesson

JK is tangent to circle O at point J and JE is a secant line If mJ FE 2389 find mZEJK J K E Answer Attempt 1 out of 5 F

Solve for x 20 4x 7 5 4

5a 45 Find the value of a in the parallelogram 2a 56

S C A B C D sc X 45 E B

105 45C E ABCD Rc x C X

65

10 x 133 1520 205 140 125 11 w y

In 1 3 Name the polygon according to the number of sides and state the sum of its interior angles 1 3 2

Find the measurement indicated in each trapezoid ISOSCELES TRAP Do NOT include units degrees inches feet etc F 95 E G H

Find the length of the midsegment of each trapezoid Do NOT include units degrees inches feet etc E R 6 2 F S

Solve for x in each parallelogram Do NOT include units degrees inches feet etc LN 20 UN 5x U

3 T 2 x Knowing what you now know about the way polynomial functions interact with their factors zeros and graphs explain how to do the following a Find the zeros of this function b Use these zeros to write a factored polynomial in this format x a x b c Multiply the factors together to create a polynomial Graph your polynomial using a graphing app or calculator Does your graph match graph the image abc d Explain how you know your factors your polynomial the graph above and your graph all describe the same function

If mEK 42 and mAW 128 find m Q A E Q K W

In 1 6 Find the measure of the missing angle Drawings are not to scale 1 2 97 X 130 130 54 71 112 48 3 110 128 135 118

4 5 160 100 91 80 6 124 150 93 130

UD and radius EA AB is tangent to Eat A If AB answer to the nearest tenth if necessary If the answer cannot be determined click Cannot be determined 12 and EB 13 solve for EA Round your Answer Attempt 1 out of 2 T