Math L2 Module 9

Mathematics NQF Level 2 Downloaded from hlayiso.com *see terms and conditions Mathematics NQF Level 2

Using and applying transformations to plot coordinates Module 9 Downloaded from hlayiso.com Mathematics NQF Level 2

[need a video on translating points] Click above to play this video. Downloaded from hlayiso.com Unit 9.1

[need a video on translating points] Click above to play this video. Downloaded from hlayiso.com Unit 9.1

Learning activity 9.2 Downloaded from hlayiso.com Mathematics NQF Level 2

1. Calculate the coordinates of the reflection of A(1; 4) if it is reflected about: 1.4 y = −x ( x; y )  ( y;  x)  A 1; 4   A '  4;  1 Downloaded from hlayiso.com Learning activity 9.2

2. Determine the reflection of any two points of y = −x + 1 about: 2.2 the y-axis Choose any two x-values; find corresponding y-values: Let us choose: x = 1 and x=2 y = x + 1 y = x + 1  y = 1+ 1  y = 2 + 1 =0 = 1 (1; 0) (2; 1) Downloaded from hlayiso.com Learning activity 9.2

2. Determine the reflection of any two points of y = −x + 1 about: 2.2 the y-axis (continued) The x-coordinate changes sign: ( x; y )  ( x; y ) A 1; 0  becomes A'  1; 0  B  2;  1 becomes B'  2;  1 Downloaded from hlayiso.com Learning activity 9.2

Summative assessment Module 9 Downloaded from hlayiso.com Mathematics NQF Level 2

1. Calculate the coordinates of the reflection of A(2; 3) if it is reflected about: 1.1 the x-axis ( x ; y )  ( x;  y )  A  2; 3  A'  2;  3 Downloaded from hlayiso.com Summative assessment – Module 9

1. Calculate the coordinates of the reflection of A(2; 3) if it is reflected about: 1.2 the y-axis ( x; y )  ( x; y )  A  2; 3   A'  2; 3 Downloaded from hlayiso.com Summative assessment – Module 9

1. Calculate the coordinates of the reflection of A(2; 3) if it is reflected about: 1.3 y=x ( x; y )  ( y; x)  A  2; 3  A'  3; 2  Downloaded from hlayiso.com Summative assessment – Module 9

2. Determine the translation A(−2; 3) to A΄(2; −1). Horizontal change = +4 units Vertical change =  4 units  x; y   ( x + 4; y  4) Downloaded from hlayiso.com Summative assessment – Module 9

Click above to play this video. Downloaded from hlayiso.com Summative assessment – Module 9

4. Which kind of transformation maps ∆PQR onto ∆P΄Q΄R΄? 4.1 Reflection about the y -axis Downloaded from hlayiso.com Summative assessment – Module 9

4. Which kind of transformation maps ∆PQR onto ∆P΄Q΄R΄? b) Reflection about the y-axis and then reflection about the x-axis Downloaded from hlayiso.com Summative assessment – Module 9

Downloaded from hlayiso.com Mathematics NQF Level 2