2D Geometry Questions and Answers

Question 17 7x 3 Find the value of x rhombus

2 Parallelogram Rectangle Rhombus Square Question 2 Determine the most precise name for the quadrilateral

7 O Parallelogram Rectangle Rhombus Square Question 6 Determine the most precise name for the quadrilateral Parallelogram

In the figure below the triangle on top has been transformed to the one on the bottom by a 90 counterclockwise rotation about P B A K N P Part A Complete the congruence statement ABUT A Part B Fyplain how you know that the N

2 volume Question 22 of 24 1 point 12 13

Use your new conjectures in the following exercises In Exercises 1 6 each figure is a parallelogram 1 c d 27 cm 34 cm d 2 a b 48 3 g 2 h R h Construction tools for Exercises 7 8 19 20 M 14 in O 16 in

2 In the diagram of AOMP and AOQN ZM ZQ and MO QU RELEA M R P Based on the diagram write a proof showing MN QP Q

4 VF 36 m EF 24 m El 42 m What is the perimeter of ANVI E F 5 What is the perimeter x 3 x 3 17 6 e f 78 63

Prove that each orientation reversing homeomorphism of the circle must have exactly two fixed points

Find the measure of the arc or angle indicated O 160 O 100 O 73 O 210 CUL H G 70 76 2

Solve for x O 15 O 12 O 11 0 3 10x 20 D B 40 N

Solve for x O 15 O 12 O 11 0 3 A 70 S 6x 15 80 R

Find the measure of the arc or angle indicated 160 O 100 O 118 O 210 Q 80 S R None of the other answers are correct

Name a tangent S U R J M O MN O JL O UT K T N L

Given the circle below with secants BCD and FED find the length of BC Round to the nearest tenth if necessary B F 27 E C 23 25

Given the circle below with secants UVW and YXW find the length of UV Round to the nearest tenth if necessary W 17 20 X 22 U Y

y m n B 4 9 2 5 1 0 1 3 O 0 1 10 9 8 7 6 5 4 7 6 5 4 3 2 1 3 1 Ty 2 3 2 3 What are the x and y coordinates of point E which partitions the directed line segment from A to B into a ratio of 1 mm 7 m x x m n V V V 4 5 6 7 A 2 3 x

Find the heigh radius of 12 in 1281 12 cubic

Absorbance 420 nm 0 2 10 C 0170 0 232 0 273 0 305 0 334 0 345 22 C 0 155 0 154 0 151 0 089 0 152 0 55 50 C 0 018 0 069 0 069 0 107 0 095 0 104 3 Make a well labeled graph of your data for each tube a Calculate the slope for each temperature

7 6 5 B 4 9 v m n 2 5 1 0 1 3 0 1 3 N 10 9 8 7 6 5 4 3 P 14 Fi 2 3 4 2 3 V V V A 2 3 5 6 7 What are the x and y coordinates of point E which partitions the directed line segment from A to B into a ratio of 1 m X m n x x x X

Figure VWYX is a kite W O 18x 2 108 12x 2 X What is the measure of angle VXY O 72 74 Y

Parallelogram QRST Proves ARQT ATSR T S Select one reason to explain each statement below angle Q angle S and angle QTR angle SRT triangle RQT triangle TSR No Answers Chosen No Answers Chosen RT TR No Answ

What additional information would you need to prove the pair of triangles are congruent by ASA Click the hotspot for the missing piece A BC V D

11 This pair of triangles is congruent by SSS but the third side is unlabeled Click the hot spot where the S3 label should go

What is the value of x Type a number only 7x 11 5x 2 2x 3

A 54 3 or Ty B 5 4 3 2 1 D1 2 3 4 SC x 2 2345 3 5 What is the area of parallelogram ABCD 25 square units 16 square units 20 square units 24 square units

7 6 5 4 3 2 J G H 1 2 3 4 5 6 7 x What is the area of triangle GHJ 12 square units 5 square units 6 square units 7 square units

Quadrilateral GHIJ is a rhombus and mZHIK t 22 What is the value of t J t 11 28 I K G H

Is parallelogram TUVW a rhombus V W yes 28 no T U

Is parallelogram RSTU a rhombus U yes T 90 V R no S

If QT 2b and ST b 17 find the value of b that makes quadrilateral PQRS a parallelogram S b 11 P T R Q

If CE 6p and CG p 15 find the value of p that makes quadrilateral DEFG a parallelogram G p D C F E

Is parallelogram TUVW a rectangle U V S T W

Is parallelogram BCDE a rhombus B yes 58 C no E D

Quadrilateral QRST is a rectangle QS 2u and RT u 94 What is the value of u R S T 7 Q

Quadrilateral STUV is a square What is mZRVU T S R U V

Quadrilateral RSTU is a rhombus What is R U 19s S s 54

Find the value of b that makes quadrilateral PQRS a parallelogram Q R b 8b S b 28 P

Can you show that this quadrilateral is a parallelogram 53 125

Is parallelogram RSTU a rectangle R yes no U Q S

Quadrilateral STUV is a square What is SV T S SV V 3t t 62 U

Is parallelogram RSTU a rhombus R U yes no T

If DE 4u and DG u 24 find the value of u that makes quadrilateral EFGH a parallelogram G H U F E

Solve the inequality f x f x x 3 x 1 2 by usir function

y mx c find the for a straight line function

Which of the following represents a quarter of a donut a 0 r 5 0 0 c 2 r 4 0 0 T b 1 r 3 0 T d 0 r 5 0 T

Plot the point s where csc 0 2 o Clear All Draw

A piece of cardboard is 2 2 times as long as it is wide It is to be made into a box with an open top by cutting 2 inch squares from each corner and folding up the sides Let x represent the width in inches of the original piece of cardboard Answer the following questions COCO 2 a Represent the length of the original piece of cardboard in terms of x gth in Use integers or decimals for any numbers in the expression b Give the restrictions on x What will be the dimensions of the bottom rectangular base of the box The restriction on x will be Type an inequality The length will be in and the width will be in Round to the nearest tenth as needed The length will be in and the width will be in Type expressions using x as the variable Use integers or decimals for any numbers in the expr c Determine a function V that represents the volume of the box in terms of x V Simplify your answer Use integers or decimals for any numbers in the expression d For what dimensions of the bottom of the box will the volume be 320 in 2 ofy if such a box is to have a volume between 400 and 500 in

For problems 3 6 refer to the following figure A B E C D 3 If AD 125 and BC 173 find ZBEC 24 find CD 4 If AEB 35 and AB 5 If ZCAD 30 and LBDA 40 find ZCE 6 If ZCED 41 and ZDAC 25 find AB

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