2D Geometry Questions and Answers

n 1 5 Completely simplify each radical expression 500 2 6 75 GEOMETRY Unit 7 Te

2 Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU 7 A Rotate GHJ using center G until GH is lined up with ST and then reflect over aline halfway between GHJ and STU B Translate GHJ by the directed line segment GS Rotate GHJ using S as the center by angle H ST Reflect G HJ over ST NAME C Translate GHJ by the directed line segment GT Rotate GHJ using Tas the center by angle HTS Reflect G HJ over ST D Translate GHJ by the directed line segment GS Translate G H J by the directed line segment HT Translate G HJ by the directed line segment T 3 Reflect triangle STU across line ST Which of these is a valid reason why the image of U will coincide with J A The image of U and J are on the same side of ST and make the same angle with it at T B The image of U and Jare the same distance along the same ray from T C The image of U and I will not coincide after reflection over ST 2019 by Illustrative Mathematics D Line ST is the perpendicular bisector of the segment connecting U and J because the perpendicular bisector is determined by 2 points that are both equidistant from the endpoints of a segment 4 Here is parallelogram ABCD U DATE M B illustrative Mathematics PERIOD 2

Find the value of each variable answers should be in simplest radical form 1 45 y X 2 2 U V 30 3 45 6

Rotations of Shapes Date Graph the image of the figure using the transformation given List the new vertices 1 rotation 180 about the origin H M Las Ay 3 rotation 90 clockwise about the origin Ay H HY 5 rotation 90 clockwise about the origin U 1 2 w 0 2 K 3 2 G 3 3 Ay x Name 7 rotation 180 about the origin z 1 5 K 1 0 C 1 1 N 3 2 9 rotation 90 clockwise about the origin 2 rotation 90 counterclockwise about the origin 4 rotation 180 about the origin Ay 6 rotation 180 about the origin v 2 0 S 1 3 G 5 0 Ay x Find the coordinates of the vertices of each figure after the given transformation List the new Vertices 8 rotation 180 about the origin L 1 3 Z 5 5 F 4 2 Period 10 rotation 180 about the origin OVER

Find the value of each variable Answers should be in simplest radical form 26 27 8 45 y X 450 21 60 X 30 28 450 12 y 459 X

21 A 6 8 cm B The les List the angles for each triangle in order from smallest to greatest drawings are not to scale 22 K 8 2 cm 6 1 cm C 10 9 in 9 8 in L N 10 2 in

29 30 V 60 30 45 X y 45 6 31 60 16 30

7 5 3 9 3 8 10 5 5 4 7 9 18 4 2

4 7 14 5 4 5 6 10 6

5 Find the value of x that makes ALMN APQR L 10 M 12 R X 7 N 6 Q 5 P

Find the value of x that makes AABC AADE helmi2 elgnan Ad qclav nguons zi noto 28 WO A 30 E B 10 1

5 1 point If the pentagon below is to be reflected over the y axis which point would not move at all L K 1 Point H Point J Point K Point G 1 G H 3 1

2 Point Slope Form 1 3 Graph the line that represents each linear equation 1 y2 2 x 3 2 y 3 2 x 1 P 5 1 3 y 1 x 5 2

Problem 1 Part A Find the area of the shape below All measurements are in meters A 6 LC Do not include units square meters in your answer Type your answer below as a number example 5 3 1 41 2 or 3 2 Part B Find the area of the shape below All measurements are in meters 5 4 33 7