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1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
Do Now
1.) Find the slope of the line that connects A( ­5,2 ) and B( ­4, 3).
2.) Find the distance between the points A and B in #1.
September 17, 2013
9/17
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
September 17, 2013
1-7 Triangles
Classifying Triangles According to Their Sides
A scalene triangle has no congruent sides.
An isosceles triangle has two congruent sides
An equilateral triangle has 3 congruent sides
scalene
isosceles
equilateral
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
September 17, 2013
Classifying Triangles According to Angles
An acute triangle has 3 acute angles.
A right triangle has a right angle.
An obtuse triangle has an obtuse angle.
An equiangular triangle has 3 congruent angles.
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
September 17, 2013
Coordinate Geometry Proof Steps
Step 1:
Graph the polygon
Step 2:
State the properties
Step 3:
Write the formulas needed for the proof
Step 4:
Perform all calculations
Step 5:
Draw a conclusion
Step 6:
Write a therefore statement
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
September 17, 2013
Special Triangles
If a triangle has no equal sides then it is a scalene triangle.
If a triangle has two equal sides then it is an isosceles triangle.
If a triangle has three equal sides then it is an equilateral triangle.
If a triangle has sides that fit the Pythagorean Theorem then it is a right triangle.
If a triangle has a right angle then it is a right triangle.
If a triangle has two equal sides and
then it is an isosceles right triangle.
a right angle
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
Ex 1:Justify that points D(­4,3), B(1,8), and C(6,3)
are vertices of an right triangle.
September 17, 2013
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
September 17, 2013
Ex 2:Justify that points A(3,1), B(3,4), and C(0,4) are vertices of
an isosceles right triangle.
1­7 Triangles and Coordinate Triangle Proofs pd7.notebook
Homework
Worksheet 3 Proofs
September 17, 2013
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