Geometry Questions

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 9 Points 2 The endpoints of the line segment AB are A 1 6 and B 5 6 If the line segment AB is rotated 90 degrees clockwise then find the coordinates of the rotated line segment O A 6 1 and B 6 5 O A 6 1 and B 6 5 O A 6 1 and B 6 5 O A 6 1 and B 6 5

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 3 Which of the following figures shows the 1 2 turn of the letter R 1 R BR iii Points 2 YA O i O ii O iii ii iv

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

If the point X is translated 6 units left and then 5 units up what will be the coordinates of X 4 2 O 2 2 O 2 3 O 2 2 O 2 3 4 2 0 2 2 4 Y 2 4 XY

Question 6 Which word does not have a rotational symmetry SOS MOW NOON 1 11 III 0 0 O ii Points 3 O iii Gad WOW IV

Question 10 Points 1 If the point A 10 4 is reflected above the line y x Identify the transformed point O A 4 10 O A 4 10 O A 10 4 O A 10 4

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

son Posttest Question 1 The point A 10 5 is translated 3 units left and then rotated about an origin in a direction through 360 It is then reflected across the x axis Identify the coordinates of the vertices of the transformed point O A 7 5 O A 7 5 O A 7 5 Points 3 O A 7 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

2 18 PM Sun May 21 CradeResults B 8 7 6 5 A O O C B 8 C 45 D 8 7 6 5 4 3 2 19 2 3 l a 4 5 6 7 8 1 8 7 6 5 B 3 2 3 4 4 K 2 5 6 7 8 6765432 0 8 Y 7 B 3 3 2 1 2 888 My Activities B 1 2 3 Y 12 C Ims graderesults com D 678 2 3 4 5 6 7 8 Tell me what you want to X 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 D X

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

2 15 PM Grade Results My Activities Tell me what you want to do Q Which of the following shows the coordinates of the given point after a rotation of 90 in the clockwise direction about the origin 2 0 4 O 4 0 0 4 0 Y 2

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

Grade Results My Activities Question 5 Points 1 If the point A 6 9 is translated 4 units left then find the new coordinates of the point A O A 2 5 O A 2 9 O A 2 9 Tell me what you want t O A 2 5

Determine the conic equation of the hyperbola with the given vertices 9 0 and 3 0 and asymptotes y 2x 12 and y 2x 12

A parabola can be drawn given a focus of 5 6 and a directrix of y 6 Write t equation of the parabola in any form

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

Find the volume of a pyramid with a square base where the perimeter of the base is 15 2 m and the height of the pyramid is 21 3 m Round your answer to the nearest tenth of a cubic meter

Look at QCX andA Q C X shown in the graph below 1014 10 9 7 Q Which statement can be used to prove thatA QCX AQ C X MAS SER A Q C X is obtained by reflecting QCX over the y axis and then dilating it about the origin by a scale factor of A 5 B C X D AQ C X is obtained by reflecting A QCX over the x axis and then dilating it about the origin by a scale factor of AQ C X is obtained by reflecting QCX over the x axis and then dilating it about the origin by a 5 scale factor of 2 AQ C X is obtained by reflecting QCX over the y axis and then dilating it about the origin by a 5 scale factor of

to find the height of an olive tree for a science project Jack is2 gmeters tall He stands 9 meters away from the tree and his shadow is 6 meters long SUN g m Which proportion is correct A B 62 x 2 5 I T 2 5 m 2 5 6m C D ola 65 15 11 cila 2 5 2 5 X

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

3 Use the figure to answer the following question A B D If ACIDE which of the following justifies AABC ADBE E D C Definition of Similar Triangles SAS Similarity Theorem C SSS Similarity Theorem AA Similarity Postulate

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

7 tan Z X 15 17 Y 8 Z

Write a quadratic function to represent a parabola with roots of 5 and 7 that passes through the point 3 128 f x DELF

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

19 Determine distance X T X 3 05cm 55 05 11 c 5 00 cr

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

W V Y ZI X Find the volume of the composite figure above if v 11 w 12 x 11 y 10 z 7 Round your answer to the nearest whole numb

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

In triangle ACE G is the centroid and BE 12 Find BG and G C A B F D by OA BG 6 GE 6 OB BG 8 GE 4 OC BG 3 GE 9 OD BG 4 GE 8

Name the type of symmetry for the figure O A reflection OB rotational C reflectional and rotational D no symmetry

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