Transformation Similarity

1/7

4/5

5/4

7

$$\frac{NT}{DE}=\frac{RT}{AE}$$  

$$\frac{AB}{RY}=\frac{NM}{DC}$$  

$$\frac{AB}{RY}=\frac{ED}{MT}$$  

$$\frac{AB}{RY}=\frac{BC}{YM}$$  

$$\left(r_{\left(90\degree,\ O\right)}\ \circ\ D_{\frac{1}{2}}\right)\left(\Delta OCB\right)$$

$$\left(R_{y-axis}\ \circ\ D_{\frac{1}{2}}\right)\left(\Delta OCB\right)$$

$$\left(r_{\left(-90\degree,\ O\right)}\ \circ\ D_2\right)\left(\Delta OGT\right)$$

$$\left(R_{y-axis}\ \circ\ D_2\right)\left(\Delta OGT\right)$$

Proportional sides and equal angles

Equal sides and equal angles

Proportional sides and the same number of angles

Similar looking shapes

$$\left(T_{<-6,\ 1>}\ \circ\ R_{x-axis}\right)\left(\Delta ABC\right)$$

$$\left(T_{<-6,\ 1>}\ \circ\ R_{y-axis}\right)\left(\Delta ABC\right)$$

$$\left(R_{x-axis}\ \circ\ T_{<-6,\ 1>}\right)\left(\Delta ABC\right)$$

$$\left(R_{y-axis}\ \circ\ T_{<-6,\ 1>}\right)\left(\Delta ABC\right)$$

$$\left(R_{x-axis}\ \circ\ D_3\right)\left(OBCD\right)$$

$$\left(R_{y-axis}\ \circ\ D_3\right)\left(OBCD\right)$$

$$\left(D_3\ \circ\ R_{y-axis}\right)\left(OBCD\right)$$

$$\left(D_3\ \circ\ R_{x-axis}\right)\left(OBCD\right)$$

100°

80°

77°

103°

48°

55°

125°

110°

∠C ≅ ∠M

∠T ≅ ∠E

∠Y ≅ ∠B

∠A ≅ ∠M

∠C ≅ ∠R

$$(D_3\ ◦\ R_n)(JKLM)$$

$$(D_{\frac{1}{3}}◦\ R_n)(JKLM)$$

$$(D_3\ ◦\ T_{<−2,−5>})(JKLM)$$

$$(D_{\frac{1}{3}}\ ◦\ T_{<−2,−5>})(JKLM)$$