In this chapter you will be learning about congruent triangles, similar triangles, properties of transformations, mapping notation for transformations and combining of transformations.
congruent:
It means that one shape can become another using Turns, Flips and/or Slides:
congruent:
It means that one shape can become another using Turns, Flips and/or Slides:
Equal angles have been marked with the same number of arcs
Some of them have different sizes and some of them have been turned or flipped.
Similar triangles have:
Mapping notation for transformations
translation- (x,y)=(x+a,y+a)
reflection-(x,y)=(x,-y)
rotation 90`cw- (x,y)=(-y,x)
rotation 90`ccw- (x,y)=(y,-x)
rotation 180`- (x,y)=(-x,-y)
dilation- (x,y)=(ax,ay)
Some of them have different sizes and some of them have been turned or flipped.
Similar triangles have:
- all their angles equal
- corresponding sides have the same ratio
Mapping notation for transformations
translation- (x,y)=(x+a,y+a)
reflection-(x,y)=(x,-y)
rotation 90`cw- (x,y)=(-y,x)
rotation 90`ccw- (x,y)=(y,-x)
rotation 180`- (x,y)=(-x,-y)
dilation- (x,y)=(ax,ay)