Triangle Sumation Conjecture

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					Draw the following: 1. acute triangle 2. right triangle 3. obtuse triangle 4. acute, scalene triangle 5. obtuse, isosceles triangle 6. right, scalene

Draw the following: 1. acute triangle

Draw the following: 2. right triangle

Draw the following: 3. obtuse triangle

Draw the following: 4. acute, scalene triangle

Draw the following: 5. obtuse, isosceles triangle

Draw the following: 6. right, scalene

5.1 Triangle Sum Conjecture
Objectives: 1. Discover a relationship among the angles of a triangle.

5.1 Triangle Sum Conjecture
Objectives: 2. Practice using geometric tools.

C-25: Triangle Sum Conj. The sum of the measures: of the interior angles of a triangle is 180°.

What is the measure of the missing angle?

ma= 50°

What is the measure of the missing angle?

mb= 34°

What is the measure of the missing angle?

mc= 31°

What is the measure of the missing angle?

md= 55°

Next we will do steps 4-6 together.
How many degrees are there in a straight line?

This reinforces Conjecture 25.

C-26: Third Angle Conj. If two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle is congruent .

What is the measure of the missing angle?

me= 65°


				
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