Page 458 - Math Smart - 7

Check My Understanding (Pg 372) translation. Therefore, a combination of reflection and
1. D' M-3), E' (3,-3), F' (3,-1), G' (-2,-1), H' (-3,0) translation is used to move triangle 1 to fit exactly
2. a).v-axis b) v-axis c).v-axis d) v-axis onto triangle 5.
3. Show the objects reflected across the line. c) Triangle 1 can be fit into triangle 7 using translation.
4. 1) Image drawn: Triangle 7 can then be fit into triangle 6 using
E' (1,^), F' (3,-4), G' (4,-3), H' (4,-2), I' (1,-2) reflection. Another method would be to fit triangle
11) Image drawn: 1 into triangle 4 using reflection and then fitting
M' (-4,-2), N' (-2,-1), O' (-2,0), P' (-4,0) triangle 4 into triangle 6 using translation.
ill) Image drawn:
P' (5,-4), Q' (3,-3), R' (1,-4), S' (2,-4), T (2,-5), Revision (Pg 381)
U' (4,-5), V" (4,-4) 1. a) P' (-3,4), Q' (-2,2), R' (^.1), S' (-5,3)
iv) image drawn: b) D' (3.0), E' (-2,-2), P (-4,0), G' (-2,3)
Q' (4,3), R' (2,3), S' (2,5), T' (3,5), U' (3,4), V (4,4) 2. a) Image drawn and labeled at the following coordinates,
5. a) 1) Line of reflection drawn along v-axis. A'(0,1), B'(3.5), C'(4.1)
ii) Line of reflection drawn along .v-axis. b) Image drawn and labeled at the following coordinates,
ill) Line of reflection drawn along x-axis. A' (-5,-2), B' (-3,-3), C (-5,-5), D' (-4,-5), E' (-5,-6),
b) i) Reflected along the v-axis. F' (-7,-4)
ii) Reflected along the-V-axis. 3. Image drawn and labeled at the following coordinates,
iii) Reflected along the .v-axis. D' (3,2), E' (0,4), P (0,1)
6. a) Object drawn at the coordinates from part 'b' 4. a) Image drawn at the coordinates from part 'b'
b)L(4.4), M (2,4), N (2,3), 0(4,3) b)H'(-3,2), P (-5.1), U' (-5,4)
c) L" (^,^). M" (-2,-4), N" (-2,-3), O" (-4,-3) 5. a) Triangle
7. Q' (2.-4) b) Image drawn at the coordinates from part 'c'
8. a) Plot a triangle at the given coordinates. c) S' (-3,1), V (0,2), G' (0,5)
b) Draw the graph of v = -1 6. a) Rotate triangle A 90° clockwise about point P.
c) Image drawn and labeled at the following coordinates, b) Rotate triangle A 180° clockwise about point T.
M' (-4,-6), N' (-3,^), O' (-5,^) c) Rotate triangle B 180° clockwise about point 0.
d) Image drawn and labeled at the following coordinates d) Rotate triangle C 90° clockwise about point R.
M" (8,4), N" (7,2), O" (9,2) 7. Draw the polygon PQRS at the given coordinates
9. a) Plot a triangle at the given coordinates. a) Draw the graph of v = .v
b) Draw the graph of b) Image drawn and labeled at the following coordinates,
c) Image drawn and labeled at the following coordinates P' (3,-3), Q' (3,-1), R' (1,-2), S' (1,^)
A' (-1,2), B' (-3,3), C (-3,0)
Unit 17
Check My Understanding (Pg 377)
1. a) Rotate the triangle 180° about point A. Recall (Pg 386)
b) Rotate the square 90° anti-clockwise about point B, Mean: 28.25
c) Rotate the shape 180° about point C. Median: 30.5
2. a) Rotate the shape 180° about point X. Mode: 32
b) Rotate the shape 90° anti-clockwise about point X. Range: 36
c) Rotate the shape 90° about point X.
Check My Understanding (Pg 389)
Check My Understanding (Pg 380) 1. a)4 b)13.5 c)6
1. I) Image drawn and labeled at the following coordinates 2. 36.5
B'(1,5), P (3,1), H'(-2,1), M' (-2,4)
ii) Image drawn and labeled at the following coordinates Check My Understanding (Pg 390)
B' (-5,4), L' (0,5), S' (-2,2) 1. 4.5 h
iii) Image drawn and labeled at the following 2. 13
3. $2
coordinates. H' (3,5), J' (5,3), Q' (0,1)
2. a) Draw the shape at the stated coordinates.
Check My Understanding (Pg 391)
b) Quadrilateral
c) Image drawn at the coordinates from part'd' 1. Mean: 67.48 Mode: 71 Median: 71 Range: 62
d) U' (-2,-1), W (2,0), K' (2,-3), G' (-3,-3) 2. Mean: 47,2 Mode: 46 Median: 46.0 Range: 51
3. a) 413kg b) 57.9kg
3. a) i) false ii) false (iii) false iv)true
b) Image N"R"E"Q" drawn and labeled at the following 4. 8)28 b) 27.82 c)29.5 d)27
e) Since the mean takes the average age, a younger
coordinates, Q" (0,-5), N" (-4,-5), R" (-3,-1)
age would result in a lower mean whilst an older age
E" (0.-2)
would result In a higher mean.
Try and Apply (Pg 381) 5. Criteria 1 = Dataset 3 Criteria 2 = Dataset 5
1. a) Reflection, Translation, Rotation Criteria 3 = Dataset 1 Criteria 4 = Dataset 2
b) It is not possible to do it in one transformation, Criteria 5 = Dataset 4
Triangle 1 can fit onto triangle 2 using reflection. 6. 11
Triangle 2 can then be fit onot triangle 5 using