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©G Dear2010 – Not to be sold/Free to use Congruence Triangles Properties Stage 4 - Year 9 Press Ctrl-A ©G Dear2010 – Not to be sold/Free to use

Two triangles are congruent if they are the same size and shape. Congruent Triangles Two triangles are congruent if they are the same size and shape. There are four Rules Side, Side, Side. Side, Angle, Side. Angle, Angle, Side. Right Angle, Hypotenuse, Side. End of Slide

Prove that the base angles of an isosceles triangle are equal. Isosceles Triangles Prove that the base angles of an isosceles triangle are equal. A B C Add a perpendicular. D ADB = ADC Right Angle AB = AC Hypotenuse AD = AD Common Side ADB  ADC RHS ● ● B = C Congruent s End of Slide

Equilateral Triangles Prove that the sides of an equilateral triangle are equal. Add a bisector. A B C 60o B = C Given Angle D ADB = ADC Right Angle AD = AD Common Side ● ● ADB  ADC AAS AB = AC Congruent s Repeat for each side. End of Show  AB = BC = AC