Quadrilaterals 6 quadrilateral trapezoid parallelogram rectangle rhombus square

Congruent & Similar Figures

similar figures geometric figures with the same shape but not necessarily the same size ΔABC ~ ΔGHJ

geometric figures with the same size and the same shape congruent figures geometric figures with the same size and the same shape ΔABC ≅ ΔDEF

Corresponding Parts

A B J K C L D M A B ≅ J K

A C B G J H ΔABC ~ ΔGHJ ΔACB ~ ΔGJH

A B J K C L D M A BCD ≅ J K LM

∠A ≅ ∠D ∠B ≅ ∠E ∠C ≅ ∠F A C B D F E ΔABC ≅ ΔDEF AC ≅ DF CB ≅ FE AB ≅ DE

∠A ≅ ∠G ∠B ≅ ∠H ∠C ≅ ∠J A C B G J H ΔABC ~ ΔGHJ AC ~ GJ CB ~ JH AB ~ GH

Ratios of Corresponding Sides

A C B 18 cm 30 cm 24 cm D F E 18 cm 30 cm 24 cm AB DE 30 1 = =

= = = = A C B G J H 30 cm 18 cm 25 cm 15 cm 24 cm 20 cm AB GH 30 25 6

= = = = A C B G J H 30 cm 18 cm 25 cm 15 cm 24 cm 20 cm AB GH 30 25 6

M A H T K D M J ΔKDM ⨀ J MATH

Complete #1−32 (even) on Student Text pp. 134−35.