2D Geometry Questions and Answers

Write a rule to describe each transformation 2 M K 4

1 Archaeologists recently discovered what appear to be the ruins of an ancient ceremonial temple complex They mark the intact walls as solid segments any walls that have crumbled they mark as dashed segments Before excavating the site they need to construct an accurate scale drawing or model so they generated this drawing of the ruins They note that AB DF and DEL EF 19 5 ft AO B 22 5 ft S 72 ft 78 11 a AABC appears to be the ceremony preparation room and ACDF appears to be the room where the ceremonies were held What appears to be true about these two triangles Prove your hypothesis

Find the coordinates of the vertices of each figure after the given transformation 3 reflection across the x axis Ay R A S 2 5 R 5 3 7 2 1 C T 0 5 S 0 1 R 3 3 B T 1 2 S 5 2 R 3 5 D S 2 5 R 5 3 T 2 1

7 dilation of about the origin of 7 1 2 Ay E F A D 0 25 0 E 0 5 0 25 F 0 5 0 25

The graph below represents the logarithmic function y log x 1 02 Select one True False

Write the equation of the blue graph line using the form 5 4 3 3 1 2 1 1 2 3 4 5 1 Preview 2 w y mx b

What is CD D M A 6 4 10 3 B N

Find a function of the form ya A sin kx C or y A cos kx C whose graph matches this one 6 6 5 4 9 2 Leave your answer in exact form if necessary type pi for

M T 10 If m RST 3x 17 m STR 8x 32 and m TRS 2x find m RSN S R N

10 9 8 Click twice to plot each segment Click a segment to delete it 6 5 4 3 2 1 10 9 8 7 6 y 5 4 3 2 1 L 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10

Formula 7 mi Volume 2 mi Formula Volume 8 in

Point C is located at 3 Plot Point C on the number line below Click on the graph to plot a point Click a point to delete it 10 5 O 5 10

Two transformations are performed on a figure on a coordinate plane The first transformation is a translation 10 units to the right Which secom transformation will result in an figure that is similar to but not congruent to the original figure 0000 6506 O A clockwise rotation of 90 about the center A clockwise rotation of 180 about the center A dilation by a scale factor of 1 with the origin as the center of dilation A dilation by a scale factor of 1 2 with the origin as the center of dilation

Drag the numbers below to put them in order from least to greatest 1 14 17 10 18 12

5 Ramon has a rolling backpack that is 3 feet tall when the handle is extended When he is pulling the backpack Ramon s hand is 3 feet from the ground What angle does his backpack make with the floor Round to the nearest degree Hint How could you rewrite 3 as a decimal 3 ft 3 ft

4 0 400 300 answer choices 50 5 degrees 12 7 degrees 36 9 degrees Q Solve for the missing angle

QUESTION 6 Circle the two triangles that are congruent Write the congruence sta theorem can be used to support the congruency E CONGRUENCE STATEMENT TIFY G R S X W

a and fb are orthogonal If a 4 5 and b x y then the ratio is

1 Points DET Find the point on the f x v xv

Are the following triangles congruent f so which shortcut did you use to determine the congruence D N E Are the two triangles congs

The perimeter of triangle CDE is 88 Find the length of side CE and the length of side DE A C 3x 4 E 2x

Find the value of x 9x 5 4x 20

ABC above AB 7 and CB 14 Complete the triangle by finding all sides and angles Round to the nearest tenth A

ou are building a skateboard ramp from a piece of wood that is 3 1 meters long You want the to make an angle of 25 with the ground To the nearest tenth of a meter what is the length of the base T 3 1 m

3 In triangle JKL below KL 6 and JK 2 Complete the triangle by finding all angles and sides he nearest tenth and box your answers below arl to azad se mont J diw alam sqar

YOU DO ROUND 1 1 A 28 4 foot tree must be secured with a rope anchored 5 feet from the base of the tree What angle will the rope make with the ground Draw a picture first

O WHAT DOES INVERSE TRIG MEAN In the diagram tan Y 5 X 5 Z 9 Y This implies that the tangent of angle 5 is equal to the side ratio 9 The length of the side opposite to the angle Y The length of the side adjacent to the angle Y In order to isolate an angle Y we must use invers the tangent function as follows

Find the measure of the are or angle indicated Assume that lines which appear tangent are tangent 1 239 69 K D 2 600 G

D Desmos Scientific 1 Desmos Graphing Next Dashboard SC018 Similarity and Similarity Tr

2 i In the following figure determine whether the triangles are similar If similar choose the correct statement which proves the similarity between the triangles a b Angle Angle AA B Side Angle Side SAS Side Side Side SSS None of the above ii The measure of is

State if the two triangles are similar B D A B D A C G F yes AEDF ABCA by AA Similarity yes AEDF AABC by AA Similarity yes AEDF ABCA by ASA Similarity No there is not enough information to determine similarity

a b In the figure UV WX Yes or No For the figure given below can we say that the two triangles are similar v W U 15 20 Part B If they are similar then what are the possible similarity theorem that we can use to prove the triangles similar Mark all that app A None of the above B SSS similarity theorem CAA similarity theorem D SAS similarity theorem

Certain pairs of triangles are shown below The column heading represents various theorems used to prove triangles are similar Identify which theorem is appropriate to prove each pair of triangles similar and then classify the triangles under the column heading Figure 1 Figure 3 B 27 DRAG DROP THE ANSWER Figure 1 Figure 2 Figure 3 Figure 4 14 AA theorem N Figure 2 M Figure 4 TA 12 20 15 SAS theorem

The two triangles are similar Create and solve proportions two of them to find the missing side measures Drag and drop your answers DRAG DROP THE ANSWER 5 4 3 2 12 20 12 16 A 20 3

Determine the equation of ti The equation of the graph is

Monica and Brett are standing due east of a 86 m tall tower Monica s angle of elevation to the top of the tower is 19 Brett s angle of elevation to the top of the tower is 33 How far apart are Monica and Brett Round to two decimal places as needed

A ladder leans against the wall of a building The ladder measures 54 inches and forms an angle of 40 with the ground How far from the ground in inches is the top of the ladder How far from the wall in inches is the base of the ladder Round to two decimal places as needed Show your work here ground to top in inches

GEOMETRY Area involving inscribed figures A circle is placed in a square with a side len Do not round any intermediate steps Roun ist of geometry formulas

b The graph of y g x is shown Draw the graph of y g 2x SES SE TIER 3 2 N 10 HE 5

2 Given two curves C x 1 y 2 and C x 1 y 2 a Find the point p x y of the intersection of C and C such that y 0 b Find the two normal vectors to C and to C at the point p c Find the angle between the two vectors and

Begin by graphing f x 3 Then use transformations of this graph to graph the given function Be sure to graph and give the equation of the asymptote Use the graph to determine the function s domain and range If applicable use a graphing utility to confirm your hand drawn graphs h x 3 1 1 Which transformations are needed to graph the function h x 3 1 17 Choose the correct answer below OA The graph of f x 3 should be horizontally shifted 1 unit to the right and vertically shifted 1 unit downward OB The graph of f x 3 should be horizontally shifted 1 unit to the left and vertically shifted 1 unit downward OC The graph of f x 3 should be horizontally shifted 1 unit to the left and vertically shifted 1 unit upward OD The graph of f x 3 should be horizontally shifted 1 unit to the right and vertically shifted 1 unit upward Graph h x 3 1 and its asymptote Graph the asymptote as a dashed line Use the graphing tool to graph the function Click to enlarge graph Find the equation of the asymptote for h x 3 1 1 using the graph 10 40 18 42 12

a rectangle prism that the area is 120 find the length

the local minimum of the function f x which is given in the graph below 6 5 4 3 2 1 6 5 4 3 2 1 0 2 5 1 2 3 4 5 6

Find the exact circumference of this entire circle EXACT means leave in terms of and in fractions if necessary 120 Type a response 3 cm

16 9 sqrt x 5 6 9 2 5 The answer above is NOT correct incorrect The domain of your function doesn t match that of the correct answer Find a formula for a function g z whose graph is obtained from f 2 z by shifting left 2 units vertically stretching by a factor of 6 reflecting about the z axis and shifting down 9 units

Sketch the graph of a polynomial function with zeros at x 5 3 and 2 an even degree overall and a negative leading coefficient

Find the points on the surface x z 49 64 3136 1 where the tangent plane is parallel to the plane 2x 7y z 2 Use symbolic notation and fractions where needed Give your answer as a comma separated list of coordinate points of form

Date 7 Find mV Sex Y V 10x 27 2x 29 X

4 Find KL 7 x 2 7 x 2 12x 22 7x K 12x 2

ym 4 520 JIBO 30 1189 95 1x m Tie 22M find 2 and y in the given figure