Geometry Questions

Find the values of x and y in the isosceles trapezoid 6x 20 4x Select one A x 10 y 116 B x 16 y 96 C x 10 y 96 D x 16 y 116

Find the measures of the numbered angle in the isosceles trapezoid L M 135 Answer 0 3 N Note Input answer as 1 2 3

K Find the measures of the numbered angles in the kite shown to the right m21 90 m 2 90 m 3 90 m 4 90 m 5 CO 9 10 26 12 54 6 34 5 78

The center of an ellipse is located at 0 0 One focus Which equation represents the ellipse is located at 12 0 and one directrix is at x 14 1 12 x 2 13 2 y 2 5 2 1 x 2 13 2 y 2 12 2 1 x 2 14 2 y 2 5 2 1 x 2 14 2 y 2 13 2 1 Mark this and return

Find the lengths of the segments with variable expressions EF 12 AD A X 9 D E B X 2x 3 117

15 Travis s collection of DVDs contains 14 comedies 12 dramas and 10 action movies He wants to select two movies at random without replacement a Find the probability of selecting two comedies 3 pts

Complete the proof What is the statement 2 and reason 2 Given ALEG 4L 46 Prove AALN AEGN G M E 1 2 3 Statements Reasons 1 Given 2 3

What is the missing reason 5 in the proof below Given AC CE DC BC A X C B Prove ZB ZD Statements 1 2 3 ZACBEZDCE 4 AABC ADEF 5 B 2D Reasons 1 2 Given 345 D E

If A JHI AJLK then what does JH OZK OLK KJ

What is the missing statement 2 in the proof below Given GH KL ZG K and GI KJ G H Prove HILJ Statements 1 GH KL 2 3 GI KJ 4 5 HILJ Reasons 1 Given 2 Given 3 4 SAS 5

AMLK AKOR M L HHH ZLKM K HHH R

Listen Are the triangles congruent If so state the postulate P Not Congruent ASA AAS

Solve for x Solve for x 65 75 4x 4

MSH Find the value of x x 7 3x 1

Assume point P lies on the center of RST Find the measure of the missing angle ZRSP 35 2 PST 62 Find the measure of ZRST 102 97 65 32

What is the reason the following statement and conclusion are true Statement RS 10 Conclusion 2RS 20 Substitution Property of Equality Property of Equality Definition of Midpoint Definition of Congruency Multiplication Property of Equality

What reason allows the following statement and conclusion to be true Statement Point N is between Points J and K Conclusion JN NK JK Multiplication Vertical Angles Segment Addition Postulate Definition of Midpoint

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