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# Chapter 4.6. Isosceles and Equilateral Triangles

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HONORS GEOMETRY Chapter 4.6. Isosceles and Equilateral Triangles
Transcript HONORS GEOMETRY Chapter 4.6. Isosceles and Equilateral Triangles Do Now• Complete the following proof Schedule• Monday: Looking at Isosceles and Equilateral Triangles• Tuesday: Finish looking at Isosceles and Equilateral

Triangles/Quiz Review• Wednesday: Quiz – types of triangles, angles in triangles,

shape congruence, proving shape congruence and equilateral/isosceles triangles Isosceles Triangles • Legs: The two congruent sides • Base: The third side of the triangle (opposite the vertex

angle)• Vertex Angle: The included angle between the legs. • Base Angle: The two angles formed by the base and the

congruent sides. Example One: • Legs? • Base?• Vertex Angle?• Base Angles? Isosceles Triangle Theorem• If two sides of a triangle are congruent, then the angles

opposite those sides are congruent. • ** NOTE: This is only for ISOSCELES TRIANGLES** Let’s Prove it! • Give: Triangle ABC; AC = BC• Prove: <1 is congruent to <2 Converse of Isosceles Triangle Theorem

• If two angles of a triangle are congruent, then the sides opposite those angles are congruent. Example Two: Example Three• In the picture below, what segments are congruent? You Try! Example Four: Example Five: • Find the value of x and y Example Six: • Determine the missing angles and sides You Try! • Determine the missing

angles/sides Equilateral Triangle Theorems• A triangle is equilateral if and only if it is equiangular Equilateral Triangle Theorems • Each angle of an equilateral triangle measures 60

degrees Example Seven: • Find You Try! • Find each measure Example Eight: Example Nine: • An equiangular triangle has sides equal to 2x + 1, 8x – 5

and 5x – 2. What are the measures of the sides of the triangle? Practice Problems• Try some on your own/in table groups • As always don’t hesitate to pull me aside to ask questions.  Exit Ticket

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