Geometry Questions

A figure is translated 3 3 Which translation will move the image back to the preimage original position 3 0 3 3 0 3 3 3

Given AUTS with coordinates U 4 3 T 2 1 S 0 2 rotate the figure 90 Counterclockwise about the origin U 3 4 T 1 2 S 2 0 U 2 2 T 0 2 S 2 1 U 4 3 T 2 1 S 0 2 U 2 1 T 4 2 S 0 0

Carla was asked to draw all the lines of symmetry for a regular pentagon She drew the picture below What was Carlas mistake Explain in detail what she did wrong and what the correct image would look like

What is the transformation that takes ASTU to AS T U 5 th Rotation 90 counterclockwise about the origin Rotation 90 clockwise about the origin Translation 1 unit left and 2 units up Rotation 180 about the origin

If 0 2 maps onto 3 5 then 8 5 maps onto 5 2 5 2 5m 0 5 0

Listen What is the preimage of A B A B A

A parallelogram has verticies of 0 0 0 6 4 4 4 2 Which transformation maps the parallelogram onto itself 3 2 1 7 65 3 GN L y 3 2 3 x 2 y 2 5 6 7 t

Find the coordinates of the reflection without using the coordinate plane P 4 6 over the x axis

Which sequence of transformations maps AABC onto ARST B R Translate AABC six units to the right Then rotate the result 90 clockwise about the point 1 1 Reflect AABC across the line x 1 Then translate the result one unit down Reflect AABC across the line x 1 Then translate the result five units down Translate AABC six units to the right Then rotate the result 90 counterclockwise about the point 2

Given the point A 3 5 find the image after performing the following two transformations First Translation x y x y 4 Reflection in the y axis 3 1 3 1 3 3 3 1

What is the degree of rotation that takes quadrilateral FGHI to F G H I 7

Figure EFGH maps to Figure order to receive full credit D B A E H The letters for the points must be in the correct G LL H

Given B 5 0 reflected across the line y 2 find B B 1 0 B 6 4 B 5 4 B 5 5

Consider the translation that is defined by the coordinate translation x y x 12 y 7 What is the preimage of D 0 6 D 10 7 D 12 13 D 12 1 D 0 2

1 15 18 nation Listen Describe the composition of transformations of the Triangle ABC A B C A B C C B B C ky A B A C A X

Given A 3 5 what is A after the composition of transformations listed below x y x 4 y 1 then a reflection across the line y 2 A 1 10 A 1 6 OA 5 6 A 1 6

What are the coordinates of the image of triangle BCD after a rotation of 90 degrees counter clockwise about the origin

Which is the correct graph for a rotation of 180 degrees about the origin of the quadrilateral I 3 3 H 4 1 G 1 2 F 0 1

Find the image points given the following triangle reflected across the line y 1 D 1 1 E 1 3 F 3 2 D 2 1 E 21 3 F 0 2 D 1 1 E 1 5 F 3 0 D 1 1 E 1 3 F 3 2 D 2 2 E 0 6 F 2 1

What is the image of triangle PQR after the composition of transformations list below given P 1 4 Q 3 2 R 7 1 Reflection Across the x axis Translation x y x 9 y 4

Listen Given the coordinates V 3 4 W 4 0 X 0 1 what are the coordinates of the image after a rotation of 90 degrees clockwise about the origin OV 4 3 W 4 4 X 1 1 OV 4 3 W 4 0 X 0 1 V 4 3 W 0 4 X 1 0 OV 3 4 W 4 0 X 0 1

What is the name of the segment produced after AB is reflected across the line y X B H E

Given preimage triangle BCD with points B 1 2 C 4 1 D 2 4 and its image B C D with points B 1 1 C 4 4 D 2 1 Write the rule for this translation in Component Vector Form 3 0 3 0 0 3 0 3

LISLE Write a rule for the indicated translation from Triangle UVW to U V W U

Listen Why can lines not be congruent Because they equal 0 Because they are different shapes Because a line goes on indefinitely Not enough information

Listen Solve for u Show all work be sure to use the equation editor U 4 60 17

What is the value of y 2 60 10 5 y

Let be a Quadrant III angle with cos 0 First assume that 0 values Let s see if this enough information to determine the sign of sin TT 2 sin 3 2 Now assume that 37 0 What interval would 00 sin Next using a half angle identity find the exact value 2 7 V No 3 T 2 0 For this find the exact value 2 OF 7 3 T 4 7 What interval would be in Fill in the following inequality use exact 7 4 OF 1 be in for this Fill in the following inequality use exact values 2 Given your answers above and given that is a Quadrant III angle with cos 0 0 information to determine the sign of sin 2 1 7 1 is this enough

Given an equilateral triangle with a side length of 8 find the altitude

Find another point on the line that passes through 1 9 and has slope 2 1 Point 7

A damsel is in distress and is being held captive in a tower Her knight in shining armor is on the ground below with a ladder When the knight stands 15 feet from the base of the tower and looks up at his precious damsel the angle of elevation to her window is 60 degrees How long does the ladder have to be Show all work

Question 12 4 points Listen Solve for the missing side Show all work 70 500 19 X

What is the value of the trig ratio cos x cos X 50 Z 48

What is the equivalent trig ratio to sin 25 cos 25 tan 25 sin 65 cos 65 O

You are riding the Ferris wheel at the fair You look down at your friends in line for the next ride at an angle of depression of 40 degrees The Ferris wheel is 192 feet tall What is the horizontal distance you need to walk to your friends when you get off the Ferris wheel 228 8 feet 94 2 feet 354 9 feet 179 7 feet

It is believed the best angle to fly a kite is 45 If you fly a kite at this angle and let out 225 feet of string approximately how high above the ground will the kite be Use the diagram below to answer the question 225 ft 45 not drawn to scale O260 feet

b Which of the two interpretations from part a can help us make sense of an angle measure of 450 Explain c Jeffrey measures ABC with a protractor and says the angle is 130 Is he correct Why or why not

Name the quadrant in which the angle lies cos 0 tan 0 0 Choose the correct answer below O Quadrant II O Quadrant I O Quadrant III Quadrant IV

Use the fundamental trigonometric identities to simplify the expression There is more th 2 sec x 1 sin x Step 1 Begin by distributing sec x over r 1 sin x 2 sec x 1 sin x 2 sec x sin x

Draw a picture of the angle in standard position labeling x and y axis initial and terminal side a curved arrow with the quadrants labeled Use the Pythagorean Identity to calculate the sine or cosine of the angle 0 Determine if sine and cosine are positive or negative in this quadrant cos 0 2 7 and is between 270 and 360 tan 0 To enter a square root type sqrt To enter x type pi To enter a fraction type Select an answer Select an answer

A directed line segment from A 2 2 to B is divided into the ratio 4 2 by P 4 67 2 What is the coordiantes of B

What is the measure of the indicated missing angle 29 23

An object dropped from the top of the Leaning Tower of Pisa lands 17 feet from the base 179 ft 17 ft Note The figure is not drawn to scale Which of these equations should be used to determine the angle x that the Leaning Tower of Pisa makes with the ground

A 20 meter long cable is used to support a telephone pole holding it perpendicular to the ground If the cable forms a 60 angle with the ground how high up the pole should the cable be attached 10 meters 20 3 meters 20 2 meters 10 3 meters

The degree measure of an angle in a right triangle is x You are given that sin x 3 Which of these expressions is also equal to 0 a cos x 45 b cos 60 x c cos x d cos 90 x e cos 45 x

Listen A 45 ft ladder is leaning up against a building The base of the ladder is 20 feet away from the building What is the angle of elevation to the top of the building Round to the nearest degree 38 21 64 57 11

Listen What is the equivalent trig ratio to cos 42 O sin 48 sin 42 Ocos 48 Otan 42

Listen What is the measure of the indicated missing angle 24 37

What is the indicated missing angle 35 62 49 28 25 22

4 Listen What is the indicated missing angle 9 24