2D Geometry Questions and Answers

Question 5 Points 2 Which of the following is the definition of non rigid transformation Size shape and position cannot be altered O Shape and position can be altered but size cannot be altered Size and shape can be altered but position cannot be altered Size and position can be altered but not the shape R R C

Question 8 Points 1 Which one of the following is an example of translation OA bird flying on a straight path O The movement of hands of a clock OA person observing his image in the mirror O Foot prints

Which of the following transformations are not congruent Image A B Preimage Preimage Image Preimage C 010 Image D

Question 3 Points 1 Which of the following is the definition of rigid transformation Size and shape cannot be altered but the position can be altered Shape and position can be altered but size cannot be altered Size and shape can be altered but positioning cannot be altered O Size shape and position can be altered

Question 4 Which of the following is a glide reflection of the given image NNN D NZ N C OA OB Points 1 OC D n

Question 1 Points 3 What type of transformation is performed on the quadrilateral O Rigid transformation Non rigid transformation O Glide reflection Rotation

Question 4 Which of the following represents the coordinates of the given red point after a rotation of 360 about the origin Y 52 O 0 5 O 0 5 Points 1 O 5 5 10 5 0 X

Question 6 Triangle ABC is translated 3 units left and 4 units up Find the coordinates of the new triangle 6 5 4 3 2 8 7 1 0 1 Points 2 B 234 5678 X O A 5 6 B 6 11 and C 10 11 O A 1 2 B 0 3 and C 4 3 O A 1 6 B 0 11 and C 4 11 O A 1 6 B 1 11 and C 4 11

Question 7 Points 1 The vertices of triangle ABC are A 0 5 B 3 5 and C 2 2 If the triangle is reflected across y axis then find the coordinates of the triangle ABC OA 0 5 B 3 5 C 2 2 O A 0 5 B 3 5 C 2 2 O A 0 5 B 3 5 C 2 2 O A 0 5 B 3 5 C 2 2

Question 10 If the point 4 2 is reflected across the x axis its new position is O 4 2 O 2 4 O 4 2 Points 1 O 4 2

Question 5 Find the order of rotational symmetry of the figure shown O 3 O4 Points 2 05

Question 2 Points 3 Identify the transformed coordinates of the line segment A 4 7 and B 9 7 when it is reflected across X axis O A 4 7 and B 9 7 O A 4 7 and B 9 7 O A 4 7 and B 9 7 O A 4 7 and B 9 7

Question 9 The point marked in the grid is reflected across y axis Identify the coordinates of the new point 8 7 6 5 4 3 2 10 O 1 1 Points 1 O 1 1 O 1 1 y 5 4 3 2 t 1 2 3 1 2 3 4 5 4 5 6 7 8 x

Points 1 Question 4 Identify the transformation in which every point of a figure is moved to the same distance in the same direction O Glide Reflection O Translation Rotation O Reflection

Question 5 Points 2 The vertices of the quadrilateral PQRS are P 6 2 Q 4 2 R 4 0 and S 6 0 respectively Rotate the quadrilateral 90 anticlockwise and find the vertices of the rotated quadrilateral in the coordinate plane O P 2 6 Q 2 4 R 0 4 S 0 6 O P 2 6 Q 2 4 R 0 4 S 0 6 O P 2 6 Q 2 4 R 0 4 S 0 6 P 2 6 Q 2 4 R 0 4 S 0 6

sson Posttest Question 8 Points 1 If the point A at 5 3 is rotated clockwise about the origin through 90 what will be the coordinates of the new point O 5 3 O 3 5 O 3 5 O 3 5

Question 3 Points 1 changing the position shape or size of a figure is a function or mapping that results in O Transformation O Translation O Rotation O Reflection

Question 10 If the red point is translated 3 units right and 2 units up find the new coordinates of the red point O 5 10 O 5 10 Points 1 5 10 5 Y X

Grade Results My Activities Question Points Which of the following figures shows a 90 clockwise rotation of the scarecrow A O A OB Tell me what you want to do Q C

Question 4 Points 1 Rotate the given image about 90 degrees in a clockwise direction C A OA OB B D

Clear selection 28 Which two lines are parallel 1 point y 3x 2 and y 2x 2y 3x 4 and y x 5 y x and y 5 y 0 and y 2 Submit Clear form

2 The diagram shows A PST P S 21 2111 26 T According to the labeled measurements which triangle MUST be similar to A PST A A 21 21 26 B 26 10 C 42 18 D

6 Cloe drew A ABC on a coordinate grid Then she drew A A B C the result of a dilation of A ABC with 5 a scale factor of How are A ABC and A A B C related 3 A They are congruent but not similar B They are similar but not congruent C They are both similar and congruent D They are neither similar nor congruent

Which transformation results in a figure similar but not congruent to its image A translation B rotation C dilation D reflection

1 Obtuse 5 18 8 cm 9 17 13 246 5 2 Acute 6 8 7 cm 10 58 14 15 2 IS to FDA Dasic R 3 Acute 15 7 8 11 14 4 4 Right 21 8 29 12 33 0

find a pair for coordinates where theta 0 7 For problem 6 find a pair of coordinates where 0 0 3 3

In each pair of triangles parts are congruent as marked Which pair of triangles is congruent by ASA OA OB OC OD H 1

May s Internet Services designs web sites May noticed an increase in her customers over a period of 5 consecutive weeks Based on the pattern shown in the graph make a conjecture about the number of customers May will have in the seventh week 10 9 Number of Customers O O 123 4 5 6 7 8 9 10 X Week A May will have 7 customers OB May will have 9 customers OC May will have 11 customers

8 Find the circumference Leave your answer in terms of T 5 7 cm OA 11 4 cm OB 8 55 cm OC 2 85 cm OD 5 7 c 5 7 cm

Graph 7x 2y QA OB 8 48 6 is 1 b Ty 14 X X X

Write an equation for the line perpendicular to y 6x 5 that contains 2 10 OA x 106 y 2 OB y 2 x 10 OC y 10 6 x 2 OD y 10 x 2

Find the area of the trapezoid below The figure is not drawn to scale 19 in 12 6 in 29 2 in 14 5 in OA 607 32 in 2 OB 36 7 in OC 303 66 in OD 77 2 in 2

Complete the statement below about parallelogram ABCD The figure is not drawn to scale If m CDA 66 then m BCD D A OA 66 OB 124 C 114 D 132 B

The hexagon GIKMPR and triangle FJN are regular The dashed line segments form 30 an Find the angle of rotation about O that maps line segment NP to line segment LM P Q N R M A 609 B 300 C 30 OD 90 F 1 L G K H

6 Find the volume of the given prism Round to the nearest tenth if necessary 17 m 2 m OA 17 m3 OB 34 m3 OC 8 5 m OD 1 m 1 m

Supply the missing reasons to complete the proc Given ZQZT and QR TR Prove PR SR Statement 1 2Q 4T and QR TR 2 ZPRQ SRT 3 APRQ ASRT 4 PR SR T S Reasons 1 Given 2 Vertical angles are congruent 3 4 OA ASA Substitution B SAS CPCTC C AAS CPCTC OD ASA CPCTC

Find the area of the circle Leave your answer in terms of 3 6 m OA 1 8 m OB 25 82 m OC 46 66 m OD 12 96 m

Classify the polygon by its sides OA octagon OB hexagon Oe quadrilateral OD pentagon

7 Assume that lines that appear to be tangent are tangent O is the center of the circle Find the value of x Figures are not drawn to scale m 0 111 OA 291 OB 69 C 55 5 OD 222

5 Solve for a and b 10 OA OB OC OD 8 T 1 D N Z N 16 A By 11 2N DIN 20 11 n 10 15

If T is the midpoint of line segment SU find the values of x and ST The diagram is not to scal S 5x T 2x 30 U OA X 15 ST 66 OB x 10 ST 50 OC x 10 ST 66 OD 15 ST 50

Find the surface area of the cylinder in terms of T 14 cm Not drawn to scale cm B 602 cm C 812 cm D 308 cm OA 518 15 cm

Q is equidistant from the sides of TSR Find the value of x The diagram is not to sca S 5x 13 33 OA 4 B 33 C 9 2 D 16 R

9 Find the area The figure is not drawn to scale 36 in 40 in 33 in 1 188 in OA OB 69 in 2 C 138 in 2 OD 1 440 in 2

List the sides in order from shortest to longest The diagram is not to scale 49 77 L 54 OA JK LK LJ OB LK LJ JK C LK JK LJ D JK LJ LK K

Find the length of the hypotenuse 45 OA 18 OB 6 OC 12 OD 5 3 2

Liner is parallel to line t Find m45 The diagram is not to scale T t 7 1 OA 131 OB 21 OC 149 OD 31 149 3 14 2 5 6

3 Triangles ABC and DEF are similar Find the lengths of AB and EF A 5x B 4 C D 5 EX F OA AB 2 EF 10 OB AB 10 EF 2 EF 4 OC AB 20 20 OD AB 4 EF 20

Find the center h k and radius r of the circle with the given equation x 8 2 y 10 2 16 OA h k 8 10 r 16 OB hk 8 10 r 4 h k 10 8 r 16 h k 10 8 r 4 C D

Write the standard form of the equation of the circle 1 4 7 4 OA x 4 2 y 4 2 3 OB x 4 2 4 3 OC x 4 2 y 4 2 9 OD x 4 2 y 4 2 9