MATH10003 A. Instruction: Answer all questions from this section. Question 1 Draw triangle DEF given D(1,2), E(3,5) and F (6,9), then reflect it through the origin. State the coordinates of triangle D'E'F'. (6 marks) B. Calculate A'B'C'. Triangle ABC with vertices A(2,-4), B(7,-1) and C(-5,3) is reflected in the line y=x. (3 marks) C. Triangle PQR has vertices P(7,1), 2(-6,2) and R(5,-1). Determine its image under the (6 marks) reflection in the y-axis followed by a reflection in the line y = -x . D. A pentagon ABCDE has vertices A(-3,2), B(1,-9), C(5,6). D(-1,-4) and E(1,2). Determine the vertices of the image of the pentagon under an anticlockwise rotation about the origin through an angle of 90°. (5 marks) E. Trapezium KLMN is mapped onto trapezium K'L'M'N'with vertices K'(1,5), L'(3,5), M'(4,4) and N'(-1,1) under the translation T = (1) Determine the vertices of trapezium KLMN. marks) (4 (-3) F. A transformation H consists of a translation T = followed by a reflection in the x- 2 axis. Determine the image under H of triangle UVW with vertices U (2,3), V (4,5), and W (5,2). (6 marks) (Total 30 marks)
MATH10003 A. Instruction: Answer all questions from this section. Question 1 Draw triangle DEF given D(1,2), E(3,5) and F (6,9), then reflect it through the origin. State the coordinates of triangle D'E'F'. (6 marks) B. Calculate A'B'C'. Triangle ABC with vertices A(2,-4), B(7,-1) and C(-5,3) is reflected in the line y=x. (3 marks) C. Triangle PQR has vertices P(7,1), 2(-6,2) and R(5,-1). Determine its image under the (6 marks) reflection in the y-axis followed by a reflection in the line y = -x . D. A pentagon ABCDE has vertices A(-3,2), B(1,-9), C(5,6). D(-1,-4) and E(1,2). Determine the vertices of the image of the pentagon under an anticlockwise rotation about the origin through an angle of 90°. (5 marks) E. Trapezium KLMN is mapped onto trapezium K'L'M'N'with vertices K'(1,5), L'(3,5), M'(4,4) and N'(-1,1) under the translation T = (1) Determine the vertices of trapezium KLMN. marks) (4 (-3) F. A transformation H consists of a translation T = followed by a reflection in the x- 2 axis. Determine the image under H of triangle UVW with vertices U (2,3), V (4,5), and W (5,2). (6 marks) (Total 30 marks)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:MATH10003
A.
Instruction: Answer all questions from this section.
Question 1
Draw triangle DEF given D(1,2), E(3,5) and F (6,9), then reflect it through the origin.
State the coordinates of triangle D'E'F'.
(6 marks)
B.
Calculate A'B'C'.
Triangle ABC with vertices A(2,-4), B(7,-1) and C(-5,3) is reflected in the line y=x.
(3 marks)
C.
Triangle PQR has vertices P(7,1), 2(-6,2) and R(5,-1). Determine its image under the
(6 marks)
reflection in the y-axis followed by a reflection in the line y = -x .
D.
A pentagon ABCDE has vertices A(-3,2), B(1,-9), C(5,6). D(-1,-4) and E(1,2).
Determine the vertices of the image of the pentagon under an anticlockwise rotation
about the origin through an angle of 90°.
(5 marks)
E. Trapezium KLMN is mapped onto trapezium K'L'M'N'with vertices K'(1,5),
L'(3,5), M'(4,4) and N'(-1,1) under the translation T =
(1)
Determine the vertices
of trapezium KLMN.
marks)
(4
(-3)
F.
A transformation H consists of a translation T
=
followed by a reflection in the x-
2
axis. Determine the image under H of triangle UVW with vertices
U (2,3), V (4,5), and W (5,2).
(6 marks)
(Total 30 marks)
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