Exploring– Open your workbooks to P. EXPLORE!!!

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Presentation transcript:

Exploring– Open your workbooks to P. EXPLORE!!! 10/27 WORKBOOK WARM UP Exploring– Open your workbooks to P. EXPLORE!!! Parts A – H

7.2 ISOSCELES & EQULIATERAL TRIANGLE OBJECTIVE I can verify theorems about the relationships in triangles, base angles of isosceles triangles and apply these relationships to solve problems. (G.6D)

ISOSCELES TRIANGLE DEFINTION A triangle with at least 2 congruent sides CHARACTERISTICS 1. The 2 legs are ≅ 2.The 2 base ∠s are ≅ EXAMPLE NONEXAMPLE ISOSCELES TRIANGLE

Isosceles Triangle Theorem If two sides of a triangle are congruent, then the two angles opposite the sides are congruent. TAKE NOTES

ISOSCELES TRIANGLE THEOREM PROOF

STATEMENT REASON 1. BA ≅ CA 1. Given 2. ∠A ≅ ∠A 2. ___________________ 3. CA ≅ BA 3. Symmetric Prop of Equal. 4. BAC ≅ CAB 4. ____________________ 5. ____________ 5. CPCTC P. 369

Converse of Isosceles Triangle Theorem If two _____ of a triangle are congruent, then the two ______ opposite those _____ are congruent. TAKE NOTES

EQUILATERAL TRIANGLE All angles are ≅ DEFINTION A triangle with 3 congruent sides & 3 congr. angles CHARACTERISTICS All sides are ≅ All angles are ≅ EXAMPLE 1 EXAMPLE 2 EQUILATERAL TRIANGLE

Equilateral Triangle Theorem If a triangle is equilateral, then it is equiangular. TAKE NOTES

Converse of Equilateral Triangle Theorem If a triangle is _______, then it is _________. TAKE NOTES

USING PROPERTIES OF ISOSCELES & EQUILATERAL TRIANGLES Have students tear out ***check their boxes for orderly books before they leave

I DO, YOU WATCH Katie is stitching the center inlay onto a banner that she created to represent her new tutorial service. It is an equilateral triangle with the following dimensions in centimeters. What is the length of each side of the triangle? Have students complete in workbooks P. 371

Determine the unknown angle. B) m<T I DO, YOU HELP Determine the unknown angle. B) m<T Have students complete in workbooks P. 354

P. 3725 #S 5 & 86 YOU DO, I HELP Have students complete in workbooks

HW#3: 7.2 P. 374-375 #S 5-11 ODD DUE TOMORROW Have students tear out ***check their boxes for orderly books before they leave