2D Geometry Questions and Answers

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

Write an equation in standard form for the circle 2 2 OA x 1 y 3 4 OB x 1 y 3 4 OC x 1 y 3 4 OD x 1 y 3 4 x

7 Find x The figure is not drawn to scale B OA 92 B 44 OC 23 OD 46 46

Find the value of x Round to the nearest hundredth if necessary The figure is not drawn to scale 9 Az OA 15 75 OB 9 OC 5 14 D 28 15

4 Find m21 55 OA 105 OB 100 OC 25 OD 80 115 k 105

Find the value of x If necessary round your answer to the nearest tenth The figure is not drawn to scale NA PA MOL NA ROL PA MN 6 feet K R M OA 12 ft B 36 ft C 6 ft D 3 ft P N t O

Name the minor arc and find its measure D A 115 B OA arc AB 115 OB arc ADB 30 C arc AB 245 OD arc ADB 245

The radius of circle O is 18 and OC 13 Find AB Round to the nearest tenth if necessary The figure is not drawn to scale OA 12 4 DB 3 8 OC 24 9 OD 44 4 C B

Describe the cross section OA pentagon OB trapezoid OC hexagon OD cube

Use the net to find the surface area of the prism 13 m 16m Not drawn to scale OA 6 240 m OB 24 960 m C 540 m OD 92 m 5 m 12 m 5m 16 m 12 m 5 m 13 m 13 m 5 m