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Ch 4 Notesheet Key

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<strong>Ch</strong> 4 Note Sheet L1 <strong>Key</strong><br />

Name ___________________________<br />

Do group Investigation 3, Exterior Angle of a Triangle on page 217 – 218 .<br />

Label the drawing with the following terms and define the terms:<br />

Exterior angle is an angle that forms a linear pair<br />

with one of the interior angles of a polygon.<br />

Adjacent interior angle is the angle of a polygon<br />

that forms a linear pair with a given exterior angle of<br />

a polygon.<br />

The remote interior angles (of a triangle) are the<br />

interior angles of a triangle that do not share a vertex<br />

with a given exterior angle.<br />

Triangle Exterior Angle Conjecture<br />

The measure of an exterior angle of a triangle is equal to the sum of the measures of the<br />

remote interior angles.<br />

Given ΔABC<br />

above. If a = 50 and b = 60, what<br />

is the measure of ∠ BCD ? Explain.<br />

50 + 60 = 110<br />

The exterior angle equals the sum of the<br />

two remote interior angles.<br />

Given ΔABC<br />

above. If x = 80 and b = 30, what<br />

is the measure of ∠ A ? Explain.<br />

80 – 30 = 50<br />

The exterior angle equals the sum of the<br />

two remote interior angles.<br />

Before starting Lesson 4.4:<br />

Vocab for triangles Triangles have 6 “parts”.<br />

∠A<br />

is opposite BC and AC is opposite ∠ B<br />

∠A<br />

is between BA and AC (angles are between sides)<br />

BC is between<br />

∠ B and ∠ C (sides are between angles)<br />

included angle is an angle formed between two consecutive<br />

sides of a polygon.<br />

B<br />

A<br />

C<br />

included side is a side of a polygon between two consecutive angles.<br />

S. Stirling Page 5 of 15

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