Module 7. 2 – Isosceles and Equilateral Triangles

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Presentation transcript:

Module 7. 2 – Isosceles and Equilateral Triangles Module 7.2 – Isosceles and Equilateral Triangles Today you will need your: Notes Textbook

Isosceles Triangle Isosceles Triangles are triangles with AT LEAST two congruent sides. Legs of an isosceles triangle are the two congruent sides. Base of an isosceles triangle is the non-congruent side. Leg Leg Base

Isosceles Triangle Base Leg Base Leg Leg Leg

Base Angles of Isosceles triangles are ALWAYS CONGRUENT!! Isosceles Triangle - Angles Isosceles Triangles are triangles with AT LEAST two congruent sides. Vertex Angle – always across from the base Base Angles – always across from the congruent sides. Base Angles of Isosceles triangles are ALWAYS CONGRUENT!! Vertex Angle Base Angle Base Angle

Isosceles Right Triangle What must the measures of the base angles of an isosceles right triangle be? 45° 90°/2 = 45° Base = Hypotenuse Leg 45° Leg

Isosceles Triangle – Solving for Angles and Sides Determine the value of the missing angles. 62°

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find ALL angle measures. (9x + 20)° (7x + 30)°

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find ALL angle measures. (10x)° (x + 48)°

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find all possible side measures. 8x - 12 4x + 20

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find all possible side measures. 4x 10x - 23 3x + 5

Equilateral Triangle Equilateral Triangles are triangles with ALL sides congruent.

Equilateral Triangle Equilateral Triangles must also have all three ANGLES congruent.

Equilateral Triangle = Equiangular Triangle Equiangular Triangle - a triangle where all ANGLES are congruent. What must the interior angle measures of an equilateral/equiangular triangle be? 60° 180°/3 = 60° 60° 60°

Equilateral Triangle Equilateral Triangles are also a special type of what kind of triangle? Isosceles!

Equilateral Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find ALL angle measures. (12x)°

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’ and use that value to find all possible side measures. 8x - 20 3x + 15

Isosceles Triangle – Solving for Angles and Sides Determine the value of ‘x’, ‘y’, and all possible side measures. 10x 7x + 12 2y

Classwork/Homework Pages 334-335 – all problems