Cpctc and isoscels traingle

11/22/13 Gt Geometry Drill

Given E is the midpoint of MJ; TE perpendicular to MJProve Triangle  

M EJ

T

Geometry Objective

STW prove triangles are congruent using our new shortcuts!

RecallAccording to the definition of congruent triangles If two triangles are congruent, then their corresponding parts are congruent.

Corresponding Parts ofCongruent Triangles areCongruent

CPCTC

Copy and Prove

Given:FG = OG,   GR bisects FO

Prove: F O

GT Geometry Drill

Put homework on your desk with a pen .Draw two segments on your paper, one 7 cm long and the other 9 cm long.Construct a triangle with two sides congruent using the segments you drew.Changes and updates

Objective:

STW develop and apply the Isosceles Triangle

Theorem

Do you remember?

What is the definition of an isosceles triangle?

ISOSCELES TRIANGLEvocabulary

legsvertex anglebasebase angles

C

B A

C

Isosceles Triangle TheoremIf two sides of a triangle are congruent, then the angles opposite those sides are congruent.

B A

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Is the converse true?

Converse Isosceles Triangle Theorem

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Eyes on Isosceles Triangles