2D Geometry Questions and Answers

X a 11 Find BC 3a 7 1 TX X X X X 2 skill code 1612003

First try was incorrect Choose the equation that WILL NOT model the Triangle Sum Theorem for this triangle 31 118 2 31 x 180 31 90 x 180 90 31 x 180 x 31 90 180 Use any of the correct equations to find the measure of the missing angle label opcional

Which lists all of the cation that are equivalent to cos G FG and 10 W GH

Find each measure D E and F are midpoints of AB BC and CA respectively FD 90 B E 36 Y f x XX FC I X F 113

ch TODAY THIS WEEK CREDIT X A right triangle has a leg of length 10 yards and a hypotenuse of length 15 yards Find the length of the other leg Provide an answer accurate to the nearest tenth label required x f x X X r

3 The plane x y 2z 5 intersects the cone z x y in an ellipse Find the points on this ellipse with the largest and smallest distance to the xy plane

1 5 1 3 5 3 2 5 2 1 5 1 0 5 0 5 0 0 5 1 5 2 05 1 f x is concave up on 1 5 f x has inflection points at x 0 and at x 1 Of x has no local maximums 2 f x has a local mininum at x 0 2 5 0 1 3 U 1 00 3 5 J 0 f 0 4

The graph below is the function f x Find lim 2 3 2 2 3 Find f 2 si 5 5 f x Find lim f x z 2 Find lim f x 2

F C D H I H E Which angles are alternate interior angles ZFGD and ZEDG ZFGD and ZCDB ZFGD and ZEDB ZFGD and ZHGD

Geometry and estimate all the points that are 7 units away from the point 2 4 that cross the one y 1

Given FA Prove EA Step L FB FA 1 DB and FBI AC EB Statement FA FB FALDB FBLAC try Type of Statement Reason Given

A circle has a diameter with endpoints at A 1 9 and B 11 5 The point M 6 2 lies on the diameter Prove or disprove that point M is the center of the circle by answering the following questions Round answers to the nearest tenth one decimal place What is the distance from A to M What is the distance from B to M Is M the center of the circle Yes or no

4 50 78 4 points A Cessna P 210G needs to be modified so it will carry 100 gallons more fuel than a standard P 210G You are told to make 2 fuel tanks that will fit in the wings 50 gallons each You know from previous experience that the distance between the fore and aft spar is 4 6 1 2 and the wing is 11 3 4 thick How wide must each tank be Hint There are 231 cu in per gallon Find the volume of the tank first Then find the width of the rectangular tank using the volume formula 25 7 in 24 3 in 18 03 in

Find the value of x 10 x 5 2x 2

A circle has a radius of 3 inches What is the area of the shaded space Hint Find the of an area of the circle Within the quarter circle draw a line from the edge of the circle to the other side of this quarter circle forming a triangle Calculate the area of this triangle The shaded area is the difference between of an area of the circle and the area of the triangle 0 270 2 569 in 1 987 in 180 90

A square field which is 90 feet on a side is to be converted to a circular field of the same area What would the radius of the field be in feet 78 5 45 7 50 78

GARDENING A gardener uses a grow light to grow vegetables indoors If mz1 8x and mz2 7x 4 what is m21

Find the value of x Then find the measure of each angle 2x 3x 15 4x 16 2x

Find each measure 9 mz1 11 m23 12 m25 10 m22 12 MZA 14 m26 51 35 28

6 Given the right triangular prism below state whether the pairs of lines are parallel perpendicular skew or neither S A 6 00 S 7 Use the diagram below to match the given pair of angles with their correct names Alternate Interior Consecutive Interior Corresponding Congruent Supp 180 Congruent 8 7 m a TS and FE 2 b HF and HU c TH and UE d UE and SE A 22 and 26 ar B 28 and 25 are C 25 and 24 ar D 16 and 2 aro Alternate Exterior Congruent

3 Sketch the following curves in polar coordinates find the points of intersection and find the area of the region lying outside of r 2 2 cos 0 and inside r 5 cos 0

by which theorem DHF EHG F A ASA B SAS C SSS D HL can include 4x 8 3x 7 C ACQ bisects LACB What AB BIS C18 D 21 BEQ is the perpendicular bisector of Ab CmLQCB 26

which triangle is conginer to APQR J Q Sular A Def BUST CTLY

4 8 pts If y 9 and x 11 find CD and a CD y a X a B

1 A zip wire runs between two posts 25m apart The zip wire is at an angle of 10 to the horizontal Calculate the length of the zip wire O 25m O 10 25 4m 144 0m 141 8m 21 6m

4 Construct the sign chants of f x x 9x 7 x 2 3 then sketch the graph of y x x 7 x 2

Find the measure of angle ZAGE in the figure below Enter only the A C 51 D The solution G F E B

A particle is at the point 3 5 at time 0 and a the point 7 2 at time 5 Plot the parametric equation that models this scenario

Identify the set of perpendicular A O E F B OAB LCD CD LEF AB L FE AB LEF

Does ABC appear to be the same size and shape as XYZ Explain A 5 C 13 O Y B 13 Z O A Yes AABC maps onto AXYZ with a translation and a rotation 5 B Yes AABC maps onto AXYZ with a translation and a reflection D No the triangles are different sizes C Yes AABC maps onto AXYZ with a rotation and a reflection

In square QUAD shown AD 6x ft and DQ 3x 3 ft a Determine the perimeter of the square b If mLBAU 5y determine the value of y D A B U

Use the figure shown b OB 22 62 OC 67 38 D 5 22 60 D D is the midpoint of AB and mZACB 134 76 What is m ZA OA 45 24 a B

WXYZ is a square If WT 6 find each measure ZX XY m WTZ perimeter of WXYZ T

Find xin Trapezoid PQRSi S P 51 X 28x 11 Q

EFGH is a rhombus with FH 24 and GE 10 Find the perimeter of EFGH Perimeter H

WXYZ is a rectangle Find each angle measure given m 1 30 7 6 8 S 1 4 2 M 1 M 2 M 3 M 4 M 5 M 6 M 7 M 8 M 9 M 10

1 1 point Look at the following graph below F H D K choose your answer 55 L C Given ZIKL 55 what postulate would prove ZKLJ 125 D B J E A 1 point Given the following graph and ZCXD 40 what must be the m BXC in degrees G

What is mZCBD B 60 80 mZCBD 25 C I

Provide the reasons for each statement in the proof Given AB DE Prove AD BE A B Statement AB DE AB BD DE BD AB BD AD AD BE C D Reason Given DE BD BE

riangle A B C a What transformation took place to get from triangle ABC to triangle A B C Be specific 2 points a b b What transformation took place to get from triangle A B C to triangle A B C Be specific 2 points B 9 8 7 6 5 B A 9 8 7 6 5 0 2 1 3 2 1 V A 1 2 3 4 5 Y 6 7 8 9 0 A B 2 3456

9 A graphic artist created a design for a flower using four congruent hexagons as shown Given BP 1 MK m2MYF m2FHB m2WMC m2WPT mzGXR 50 m2DNK 3x 18 and mzWBR 5x 8 The sum of the angles in WKNDSP is 720 Find each Show your work a m TLC F L Y C HR M W ay T B P S Work K G N

If one base angle of an isosceles trapezoid measures 42 what is the measure of the other base angle O 138 O 52 O 42 O 148

How many lines of symmetry can be drawn for this shape 05 04 6 07

Which diagram shows a reflection in the y axis 00 O 0 M A ANSE 0 y 1 1220 x X x None of the other answers are correct

Which transformation will create an image of MNOP that coincides with the original figure N 0 A reflection across the diagonal MO A 180 clockwise rotation about point Q O A reflection across the side MN A 90 counterclockwise rotation about point Q O None of the other answers are correct

A figure is dilated by a scale factor of 3 If the origin is the center of dilation what is the image of a vertex located at 3 4 0 1 1 1 O 3 12 9 4 9 12

In the diagram line d cuts three lines to form the angles shown below a 105 85 b Which two lines are parallel a and c Ob and c a and b no lines are parallel C 95

In the figure below what is the measurement of ZJLK K 14 72 70 78 100 M J 3x 30 2x L

4 Given m n find the value of x Type your answer 32 I I m 1 point What is the slope of a line that is perpendicular to the equation 3x 2y 12 23 32 8x 9 72 81

Which is the image of 4 7 rotated 180 degrees about the origin O 4 7 0 7 4 O 4 7 0 7 4 None of the other answers are correct