2D Geometry Questions and Answers

To answer questions 34 35 use this equation sin x cos x 34 What is the step right before solving for x 5 8 a sin x b cos 2x 5 4 c sin x cos x d sin 2x 5 9 I 3 2

Use the equation 3 sin x 2 sin x 1 to answer questions 26 27 26 One answer is a 0 b 90 c 270 d 180

What is the cross sectional area of a cement pipe 4 in thick with an inner diameter of 1 ft Use xai 3 14 The cross sectional area of the cement pipe is approximately Simplify your answer Round to the nearest whole number as needed Con

In an icorceles trapezoid ABCS if ED S x 3 and AC 2x 1 find x snd AC

Rectangle ABCD has vertices A 5 2 B 1 2 C 1 1 and D 5 1 Rotate rectangle ABCD 270 counterclockwise centered at 2 2 Draw the pre image and the final image Label all points and write the coordinates of the final image A 5 2 6 3 B 1 2 6 3 C 1 1 6 0 X 7 7 1

Write the absolute value equation using and y that has a horizontal shift of left 4 and a vertical shift of down 2 3 X syntax error this is not an equation Question Help Video Post to forum

Parallel Equations Mar 17 11 12 13 PM Which equation represents a line which is parallel to y 0 O x 2y 0 x 5 Oy 4 Oy x 4 Submit Answer

8 The diagram shows AABD with ABC BE 1 AD and LEBD LCBD If mLABE 52 what is mZD A E B C D 180 52 90 30

De 7 Triangle DAN has coordinates D 10 4 A 4 1 and N 2 5 Using coordinate geometry prove that triangle DAN is a right triangle 495 2EEE OD libak oled smugit sti

Graph the following vector addition 1 1 3 6 Start from the origin One vector to show 1 1 One vector to show adding 3 6 One vector to show the resultant 9 8 7 6 5 3 2 9 8 7 6 5 4 3 2 1 12 2 3 4 5 6 7 8 9

MALLE 6th grade Q 17 Transversals of parallel GI and I are parallel lines M K L G H F Which angles are supplementary

Vocabulary Arguments I can argue using academic vocabulary Directions Complete a full proof for each question Proof Checklist Make sure all of these steps are complete Diagram is marked Given A is the midpoint of TN LT LN Prove ATAH ANAK T Statements and reasons are numbered Three congruent statements included before conclusion H A N

Given AC CB CD LAB Prove AACD ABCD C A D B

ve for E Leave your answer in simplest radical form 10 X 3

FIRST AND LAST NAME SUBJECT D 2 ASA ADEB ACAB Shay F Unit 4 Congruence Proofs Benchmark 2 Precision I can clearly and accurately perform computations and correctly use and interpret mathematical symbols Prove AABC AEDC Directions Mark the diagrams with the proper conditions needed to use the indicated triangle congruent theorem B Given C is the midpoint of BD AB and ED are 1 to BD LACB LECD E Assembly Maker Academy SAS ASA AAS AABC ADEF dance A C Step 1 Mark up each diagram using the given statements Step 2 Identify the theorem you would use to prove congruence Step 3 Write the 3 congruence statements you would need to include in your proof to prove your chosen theorem Theorem circle one SSS AAS What are the 3 congruence statements you need to include in your proof 1 A B B DATE 3 16 23 CLASS sq fugithe tears Susulib F D C E D moitoalle

The line whose equation is 3x 5y 4 is dilated by a scale factor of centered at the origin Which statement is correct a The image of the line has the same slope as the pre image but a different y intercept b The image of the line has the same y intercept as the pre image but a different slope c The image of the line has the same slope and the same y intercept as the pre image d The image of the line has a different slope and a different y intercept from the pre image

Two circles intersect at points A and B From any point P on the line AB tangents PQ and PR are drawn to the circles Prove that PQ PR

Kamalie Phillip Equation of Dilated Lines Mar 16 11 35 19 PM The line given by 6x 3y 3 is dilated by a scale factor centered at the origin The image of the line after dilation is given by 6x 3y 6 What is the scale factor of the dilation

Line Equations from Point Slope Mar 16 11 36 41 PM What is the equation of the line that passes through the point 2 1 and has a slope of

16 11 35 47 P Express cos G as a fraction in simplest terms E 20 F 25 15 G

The line given by 7x 8y 16 is dilated by a scale factor of k 3 centered at the origin What is an equation of the image of the line after dilation Equation of Dilated Lines Mar 16 11 13 49 PM

Mar 16 11 10 18 PM Find the slope of a line parallel to the line whose equation is 3x 2y 8 Fully simplify your answer

Slopes of Parallel Perpendicular Lines Mar 16 11 01 55 PM Find the slope of a line perpendicular to the line whose equation is 6x 15y 225 Fully simplify your answer

Points Reflected over an Axis Mar 16 10 48 08 PM Point J is located at 1 6 on the coordinate plane Point J is reflected over the x axis to create point J What ordered pair describes the location of J

Tonya and Pearl each completed a separate proof to show that Tonya s Proof Statement 1 AB EF with transversal GJ 1 Given 2 ZAKLE ZGKB Justification 2 Vertical Angles Theore

The graphs of y e y e cos2x and ye are shown Use them to graph the following For one period of y cos2x plot all points where the graph of ye cos2x intersects the x axis the graph of ye on the graph a function button X 5 or the graph of ye Ther

What is the volume of sphere M Use the button on your calculator to determine the answer Round your answer to the nearest hundredth gin 8 The volume of the sphere is

4 Graph the dilated image of Triangle XYZ using a scale factor of 5 2 and center of dilation 1 1 10 8 10

24 Find the perimeter and area of the shape below 11 in 4 17 OA P 36 in A 34 in OB P 32 in A 85 in OC P 38 in A 56 in OD P 36 in A 68 in

Triangle Q R S is a dilation of triangle QRS centered at the origin Determine the scale factor used in the dilation HU R R

On the set of axes ARST is the image of AABC after a dilation centered at B B S P x The scale factor of the dilation that maps AABC ont ARST is 1 113 2 2 3 3 4 3 3 213

53244 S Q 17 Transversals of parallel lines na Hand KM are parallel lines N IK M H I Learn w Which angles are corresponding angle

7 A isosceles trapezoid B trapezoid C kite D quadrilateral 2 Kuta Software LLC 9 A trapezoid B quadrilateral All right reserved 8 1 Made A quadrilateral B trapezoid C isosceles trapezoid D kite 10 th Inf in it A kite C quadrilateral ometry B trapezoid D rhombus

1 3 5 7 A trapezoid C kite B quadrilateral D square A quadrilateral B trapezoid C kite D isosceles trapezoid A isosceles trapezoid B quadrilateral C kite D trapezoid 2 C trapezoid D kite 4 A isosceles trapezoid B quadrilateral 6 A isosceles trapezoid B trapezoid C kite D quadrilateral A square C quadrilateral B kite D trapezoid

Point C lies on AB such that AC BC is 3 5 Graph C 10 8 6 4 2 A 104 8 6 4 2 2 4 6 8 10 B 2 4 6 8 X 10

10 9 8 7 6 5 4 3 2 a Vertex of the parabola 52 b Axis of Symmetry 5 67 co 5 6 7 9 10 q Consider the graph of a quadratic function shown above Identify the following Enter coordinates as an ordered pair Separate multiple answers with a comma If real number solution exist enter DNE 1 2 3 4 5 6 7 8 9 10 c Is the vertex a minimum or a maximum value of the function O Minimum Maximum

17 14 4 65 115 9 9 A trapezoid B kite 19 C quadrilateral D parallelogram 9 9 115 65 40 17 7 17 7 115 14 4 115 8 5 8 5 A isosceles trapezoid B quadrilateral C trapezoid D kite 18 7 4 20 9 1 12 5 120 80 105 74 A quadrilateral B kite C isosceles trapezoid D trapezoid 14 1 12 5 106 106 12 5 16 6 55 A quadrilateral C kite 74 12 5 B trapezoid D rhombus

For the parabola graphed below identify its vertex axis of symmetry and state if it opens upwards or downwards 6 5 4 3 2 1 6 5 4 1 123 4 5 6 7 The vertex of the parabola is The axis of symmetry is The parabola opens Select an answer V 2 4 5 6 7 a

11 13 9 9 10 5 15 110 10 5 A quadrilateral B kite C isosceles trapezoid D trapezoid 60 12 8 70 10 3 110 70 16 956 17 100 120 95 8 6 A trapezoid B quadrilateral C isosceles trapezoid D kite 85 14 2 100 11 1 65 14 2 10 3 A trapezoid B isosceles trapezoid C kite D quadrilateral 12 14 9 2 16 9 9 115 115 65 9 2 A quadrilateral B kite C isosceles trapezoid D trapezoid 13 6 65 16 100 80 859 A rhombus C quadrilateral 82 17 7 13 6 13 6 16 13 1 80 100 82 111 13 6 13 1 A trapezoid B quadrilateral C kite D isosceles trapezoid B kite D trapezoid

9 A trapezoid B quadrilateral C isosceles trapezoid D kite

10 0 A kite C quadrilateral B trapezoid D rhombus

8 A quadrilateral B trapezoid C isosceles trapezoid D kite

6 A square C quadrilateral B kite D trapezoid

2 A isosceles trapezoid B quadrilateral C trapezoid D kite

State the most specific name for each figure 1 A trapezoid C kite B quadrilateral D square

3 A quadrilateral B trapezoid C kite D isosceles trapezoid

Find the slope of the tangent line to the function f x 3e x 1 ln 2x at x 1 2 points

Find the value of the variable in the figure wo 12 y 5 65 Z ax y 26 w z 53 bx y 13 w z 25 r 20 19

A police car is located 50 feet to the side of a straight road A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police car The police radar reads that the distance between the police car and the red car is decreasing at a rate of 70 feet per second How fast is the red car actually traveling along the road 70 FY JOffs P I SOFT Soft T 21144 A 6 A b C So 210 C 215 87 C dr d 702

11 Find the volume of the cylinder 16 9 in 48 4 in 53 2 in 84 6 in Use T 3 14 1 r 2 2 in h 3 5 in r