Isosceles and Equilateral Triangles

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Presentation transcript:

Isosceles and Equilateral Triangles Geometry 4-5

Isosceles Triangle Terms Legs Base Angles Vertex Angle Base Isosceles Triangle Terms

Parts of Isosceles Triangle

Isosceles Conjectures What can we learn from the symmetry of an isosceles triangle? Isosceles Conjectures

Investigation Supplies Printer Paper Compass Straight Edge Protractor Scissors Investigation

Everyone construct a large isosceles triangle on a piece of paper. Cut it out Label it ARK, with K as the vertex angle Investigation

Fold the triangle so that angles A and R are touching, and angle K is bisected. Unfold and label the end of the fold line X Compare angles A and R Investigation

Theorem

Investigation How would you word the converse of the previous Theorem? Is the converse true? Investigation

Theorem

Investigation Measure KXA and KXR Compare lines AX and RX Conclusions? Investigation

Theorem

Investigation On another piece of paper Construct a large equilateral triangle (using a compass) Measure all of the angles Investigation

How could we show this as a proof, without measuring?

Proof

Corollary means that the conclusion is drawn as one more step to a previous theorem

Corollary

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Pages 213 – 216 1, 7 – 12, 24, 25, 29, 50 – 52 Homework

Pages 213 – 216 1, 7 – 12, 24, 25, 29, 33, 50 – 52 Honors Homework