2D Geometry Questions and Answers

Quadrilateral DEFG is a rhombus What is mZEDF E 66 D F

congruent to AQER R Show your work here 4SQR ZTSQ 62 5 62 QS SQ Ce The triangles are congruent by the ASA criterion ZQSR ZSQYT 9 The triangles are congruent by the SAS criterion The triangles are not congruent The triangles are congruent by the AAS criterion

If PQ 17w 22 and PS 9w 30 find the value of w that makes quadrilateral QRST a parallelogram Q R P T S

Quadrilateral RSTU is a rhombus What is TU R 2b 76 U b 4 S 1

Is parallelogram QRST a rectangle Q T ves 79 P 84 S R

congruent to AEGF F Show your work here EG GE 42 ZECF ZGER G ZCEF ZHGE 42 The triangles are not congruent E The triangles are congruent by the ASA criterion The triangles are congruent by the AAS criterion The triangles are congruent by the SAS criterion H

Solve for Zn Submit your answer in terms of degrees A B 98 n

Solve for Zk Submit your answer in terms of degrees A B 122 k

Find the value of z that makes quadrilateral STUV a parallelogram V Z 65 U 6z S T

Ve Por 2k Submit your answer in terms of degrees A B k 104

Solve for Zz Submit your answer in terms of degrees A B 93

Is parallelogram WXYZ a square X W ves 47 48 N V Y

A 15 6 inch laptop is featured in a sales diagonal distance across the screen If height what is the width of the screen

This 1 1 1 md its vertex angles and the area 3 1 1 1 1 1 1

Find the total area enclosed by 7 non overlapping rectangles if each rectangle is 8 inches high and 2 inches wide The total area enclosed by the rectangles is Simplify your answer

A 16 B 8 O Tangent 12 O Not tangent

Find the length of segment NM K x 3 M x 3 16 N

Simplify your answer Type a mixed numeral if possible Otherwise type a whole number or a fraction

Find the exact values of all six trigonometric functions for the angle If the function is undefined enter UNDEFINED in all capital letters a sin 0 Submit Answer Tries 0 99 b cos 0

Evaluate cos a with the information below cos x 24 25 5 a in the fourth quadrant and sin B 12 in the third quadrant cos a B Simplify your answer Type an exact answer using radicals as needed Rationalize all denominator Uno intr

Show that sin 2x sin x sin 2x sin x Use the sum formula for sine to rewrite the left side of the equation 2 cos x Hint sin 2x sin x x sin x

Rewrite the expression as a simplified expression containing one term cos a cos a B sin a sin a B cos a cos B sin a sin a B Type an expression Simplify your answer

Simplify the following expression cos 45 x cos 45 x Simplify your answer including any radicals Use integers or fractions for any numbers in the ex

Find the exact value of the trigonometric expression without the use of a calculator tan tan 1 tan 20 5 5 1 tan tan 5 tan G 5 tan tan 4x 5 4x 5 Simplify your answer including any rodin 4x 5 4x 5

Simplify the given expression cos 6x cos x sin 6x sin x cos 6x cos x sin 6x sinx

Simplify the following expression sin x cos 2x sin 2x cos x sin x cos 2x sin 2x cos X

Simplify the given expression The result will be one of sin x cos x tan x cotx secx or csc x tan x 1 sin x sec x sec x tan x 1 sin x

Multiply and simplify cos cos 0 tan 0 cos 0 cos cos 0 tan 0 cos 0 Simplify your answer

Multiply and simplify sin x cos x cotx sec x sin x cos x cotxt con vn

Click twice to draw a line Click a segment to erase it 10 9 8 7 6 5 4 3 2 1 y 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 19 3 4 5 6 7 8 9 10

Watch help video Translate the figure 3 units left and 6 units down Plot all of the points of the translated figure

955 ste uestion 1 Which vector translates Quadrilateral ABCD to Quadrilateral ABCD given the coordinates listed flow 5 4 B 2 5 C 2 2 D 6 1 A 6 6 E 3 7 C 4 4 7 3 A 2 1 1 21 A B

15 A die was rolled 40 times The results of each roll is given in the table below If the die is rolled once more find the experimental and theoretical probability for each result Theoretical Result 1 2 3 4 5 6 Frequency 2 10 5 4 7 12 a P 5 b P 1 or 6 c P no more than 4 d P greater than 2 Experimental Gina Wilsons All Things Algebra LC 2020

6 A rhombus is a square 7 A square is a rectangle 8 A diagonal divides a square into two isosceles right triangles 9 Opposite angles in a parallelogram are congruent 10 Consecutive angles in a parallelogram are congruent

EVELOPING PROOF For Exercises 1 10 state whether each statement is ways true sometimes true or never true Use sketches or explanations O support your answers 1 The diagonals of a parallelogram are congruent 2 The consecutive angles of a rectangle are congruent and supplementary 3 The diagonals of a rectangle bisect each other 4 The diagonals of a rectangle bisect the angles Cons for E

5 What are the center and the ra A center 3 5 radius 8 center 3 5 radius 8

4 The radius of a ci 240 A 6 square inc B 2 square inc

What is the distance between points A 4 3 and B 2 4 A 53 units B 18 units C 53 units D 18 units

Draw a line tangent to the circle whose equation is x 2 2 y 3 2 25 at the point 2 0 Explain your work

If are two possible triangles ALMN as shown below N 6 m N 31 there N Find m NL M and m NL M M N 3 5 2

Directions Find the value of each variable x y x y 7 X 45 60 y 30 X

Directions Solve for x Round your answer to the nearest X X 20 X 16 8 2 X A 16 5

Let G be the circumcenter of AABC Round to the nearest hundredths it necessary I A 12 F G 8 25 B E C 1 Find BG 2 Find EC 3 Find BC 4 Find GH

1 In right triangle ABC below AB 7 and CB 14 Complete Round to the nearest tenth the A

to Find Find the area of the shaded region

Which of the following represents the contour map of the function y x f x y A D G F 00 on 04 025 0 0L 42 05 G D In 1 0 B E H 10P 93 yot 10 ust 0 01 8 5 10 10 03 80 IN 10 C F 10 s 90 Ent 08

Annie graphed a quadratic function with the vertex 2 9 and y intercept of 7 writes the equation in vertex form for her quadratic function

with its base at T The rav Felice She sees the raven at an angle of elev altitude equal to the height of the tree One minute later she sees the ground G at an angle of elevation that is 37 more than the original angle After dropping stone the raven continues flying for five minutes passing Felice and landing atop another tree at point B that is also 62 5 feet tall with its base at P 62 5 ft 379 Find RS the distance the raven flew in that one 15 F Figure not drawn to scale G 62 5 ft 679

Find the I and y intercepts of f x I intercept s y intercept s 8x 9 4x 2

Find the exact value of the expressions cos x sin x and tan x B under the following conditions sin a 40 41 lies in quadrant II a lies in quadrant I and sin B GXXX a cos a B Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression b sin a B Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression c tan a B LUBU BURE TYDe an exact answer using radicals as needed Use integers or fractions for any numbers in the expression