2D Geometry Questions and Answers

What is the value of x x 63 X T 56 Q S 53 3x R

Use a calculator to find sin 172 rounded to the nearest hundredth O 0 76 O 0 14 O 0 14 O 0 76 Use a calculator to find sin 157 rounded to the nearest hundredth 0 39 O 0 39 O 0 51 O 0 51

What is mZRPS S mZRPS T 110 80 105 P O R Q

Identify the similarity statement comparing the 3 triangles B A C O O AABC ABCD AACD O AABD AACD ABCD O AACD ABCD AACB ADAB AACB ADCA Z D

What is mQS Q mQs 130 O R S 80

Your friend Miya is having trouble with the lessons on triangle congruence She sends you an email to ask you for help Her questions are shown below 1 What does it mean for triangles to be congruent 2 What are the different theorems that can be used to prove triangle congruence 3 What does CPCTC stand for 4 When do you use CPCTC

tree with a height of 4m casts a shadow 15 m long on the ground How high is another tree hat casts a shadow which is 20 m long A 40 foot flagpole casts a 25 foot shadow Find the shadow cast by a nearby building 200 feet taill 3 A girl 160 cm tall stands 360 cm from a lamp post at night Her shadow from the light is 90 cm long How high is the lamp post

2 Graph the system of linear inequalities on the coordinate plane y 12x 2 1 20 y x 6 a Shade the solution to the system of inequalities b Pick a point and show your solution is correct X

Multiply 7 j4 5 j6 Graph the two values and the vector representing your answer on the coordinate plane below extend the plane if needed and or change the scale Be sure to label each of the 3 phasors

4 Listen Examine the diagram and answer the question The diagram shows A 3 5 and B 8 1 A 8 6 4 B 6 4 2 20 2 4 6 8 For 2 A 6 B 2016 StrongMind Created using GeoGebra 8 What is the distance between the two points 9 105

Solve the proportion 1 HM 19 17 x 13 2 3

Consider parallelogram EFGH below Use the information given in the figure to find mZF x and mZFEG 2x E 58 6 F m mLF

Find the value of x 29 31 7x 3 7x 7 B 8 M 30 32 D 14x 28 49 B LIN C 9x2 D

1 point C CE B E D ED If the measure of arc CE is 5x 3 degrees the measure of arc ED is 7x 1 degrees and the measure of arc CD is 125 degrees what is the value of x Round your answer nearest hundredth Type your answer

If a circle has a diameter of 2 10 what is its radius Round your answer to the nearest hundredth

Use translations to graph the given function n x x s

How can you justify that ZABEZCDE Explain B segment AD AB and E D segment BC segment CD alternate interior angles alternate exterior angles are parallel so ZABE and ZCDE form congruent

If a proof shows AF EG is it possible to show that A ABFA EDG B A Yes No G C are F are not D the triangles E ASA AAS SAS HL Explain congruent by

a EFGH is the image of square ABCD after D about 0 0 Graph EFGH b IJKL is the image of square EFGH after D 2 about 0 0 Graph IJKL

EFGH is the image of square ABCD after D about 0 0 aph EFGH IJKL is the image of square EFGH after D about 0 0 aph IJKL H B

PROOF PUZZLE CUT OUT STATEMENTS AND AND SEE IF YOU CAN ARRANGE THEM TO DEVELOP A TWO COLUMN PROOF YOU MIGHT NOT USE ALL OF THE PIECES THERE MAY BE MORE THAN ONE CORRECT FINISHED PROOF AD m AHB m FHG m CHD m DHE m BHD m DHF msCHF m BHE Given Prove 1 2 3 4 5 6 7 3 9 STATEMENT MLAHB FHG ML CHD m DHE mL BHD MLDHF A H JUSTIFICATION Given Given Given

1 What is the scale factor that maps AXYZ onto AABC 31135 LIS 45 27 A 15 12

3 Write the equation of the function 2 11

how many inches are in 7 9 yards how many centimeters are equivalent to 9 13 yards convert 75 0 deciliters to cubic centimeters 7 90ft s x 10

For the equation find the value of the discriminant Then tell the number and the type of solutions the equation 6p 8p 6 0 Part A Find the value of the discriminant Enter the correct value in the box Hide Hints The part of the Quadratic Formula inside the radical b 4ac is called the discriminant

4 4pts Using Figure 3 find the measure of x 16 L 3 5 X Figure 4 6 4 K

Write an equation of a circle with center 6 5 and a radius of 6

Solve for x O 51 4 degrees O 72 degrees 120 degrees O 128 6 degrees 147 3 degrees

Solve for x X 36 degrees 45 degrees 60 degrees 135 degrees O144 degrees

If the exterior angle measures 30 degrees how many sides does it have 03 O 10 O 12 20

129 130 O 145 O 150 O 155 O 160 O 165 116 135 120 125 to

20 Find the area of a regular hexagon if its perimeter is 72 inches Round answer to the nearest tenth A 62 4 in B 187 1 in2 C 374 1 in2 D 748 2 in2 O A B O C D 6 3 Perimeter 72 inches

12x 150 75 180 10 75 330 156x 24 750 X 12 x 12 10x 6 x 1 1 X 165knis 10 MULTIPLE CHOICE QUESTION What is the value of x 4 5 18 18

For the similar triangles find the unknown measurement 150 12 75 180 150 330 X330 75 150 15bx 24 750 154 A N 150 x 165 unit MULTIPLE CHOICE QUESTION What is the height of the larger triar 12x X 12 Rewatch

Directions Based on the given information determine which two statements are true and which is a lie Drag and drop the truth and lie pieces next to the matching statements Then explain what is incorrect about the lie 8 A B AABC ADEF 10 12 Drag and drop these pieces C D E LO 5 50 F TRUTH AB 2DE Corresponding sides are in a 2 1 ratio m A 2m D TRUTH Explain why the statement you labeled the lie is c false statement Tap click here to type

0 Given a 10 foot length of tree trunk with a radius of 3 feet what is the weight of the tree trunk section if it has a density of 45 lb ft 12 23 lb B 8 100 lb 4 050 lb 25 447 lb

A human body that is performing light work generates about 200 0 BTUS of body heat per hour If a room that is 15 0 x 13 0 x 10 0 is being painted by 3 people how many BTUs per cubic foot do they produce in 2 hours A 0 2051282051 0 6153846154 0 6153846154 0 1025641026

At Macon County High School a classroom is 400 ft After the teacher sets up her desk computer and podium there are 250 ft2 left for student desks If each desk takes up 8 ft of room how many desks can fit in the classroom A about 31 8 about 19 C about 25 D about 50

1 A rectangular swimming pool with a flat bottom is 20 feet by 12 feet How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute 8 minutes B 40 minutes 120 minutes 67 minutes

7 A plane cuts through a cone parallel to its base What shape is formed by this intersection ellipse B circle hyperbola D parabola

Find the volume of a cylinder with a radius of 4 cm and a height of 7 cm A 567 cm B 112 cm 2247 cm h 167 cm 287 cm

Consider the trapezoid BDEC below where the vector BC is parallel to DE and twice its length Use vectors to prove the point A where the lines BD and CE meet produces vectors B 2BD and CA 2CE D E

The grid shows Figure Q and its image Figure Q after a transformation 10 9 8 7 6 5 Figure S 6 7 Figure Q D 45678 Which of the following transformations could be used to prove that Figure Q and Figure Q are congruent Counterclockwise rotation of 90 about the origin O Counterclockwise rotation of 270 about the origin O Clockwise rotation of 90 about the origin Clockwise rotation of 180 about the origin

Andrew draws triangle ABC He then constructs a perpendicular bisector from vertex A that intersects side BC at point D What can Andrew conclude based on his drawing AB BC BD DC OAD BC AC BC

If a rotation takes triangle CAT to C A T what is C T 4 3 17 01 5 3 10 A 2 5 1 T 17 5 4 3 2 1 C 1

If AABC AFDE which of the following statements is true OZA ZF B F A D L

4 5 10 H 570 Type your answer 1 point Lamar s house is 4 miles away from Maury and 6 miles away from his Grandma s house He plotted the locations on a map to form a triangle What statement must be true about m the number of miles between Maury and his Grandma s house 2 m 10 m 6 m 4 4 m 6 QR 12 cm QS 15cm RS 9 cm 1 point The length of each side of triangle QRS is shown below Which list shows the angles of triangle QRS in order from least measure to the greatest measure ZQ ZS ZR ZQ LR LS LR LS LQ DEO DED

ADEF AJKL DE 28 EF 23 DF 9x 43 JL 11 JK 3y 11 and KL 4z 1 find the values of x y and z 18 19 1 point x Type your answe y 1 point Type your answ

6 Solve a Solve for d d 0 Write your answer in simplified rationalized form d 2 i 00 or d

1 15 pts Using the Figure 1 below name the following parts circle M A X a All the Radii OB OA b All the Chords AD c All the Points on the Circle d The Circle e The Tangent 0 N Figure 1 B MBA Crystal Ball