2D Geometry Questions and Answers

QUESTION 5 2 POINTS Find the equation of the line with slope 1 5 and y intercept 0 1

Find the lengths of LM TU and QP 2x 4 Select one 2x 4 3x 2 A 16 24 32 B 20 28 38 C 8 16 20 M U

LM is the midsegment of trapezoid RSXY What is LM Select one A 12 3 B 6 15 C 4 1 D 6 4 1 8 2 M

Find the measures of the numbered angles in the kite Note Input answer as 1 2 44 H Answer 2 80

Find GH Select one A 16 B 10 OC 3 D 13 C 10 4x 1 6x 2 D H E

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

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 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

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

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

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

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

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

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

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

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

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

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

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

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

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