Download Triangles and the Pythagorean Theorem Mathemagics Page

1. Types of Angles
Vertical angles: ________________________
Congruent or Supplementary
Alternate Interior: _____________________
Congruent or Supplementary
Same-side Interior: ____________________
Congruent or Supplementary
Alternate Exterior: _____________________
Congruent or Supplementary
Same-side Exterior: _____________________
Congruent or Supplementary
Corresponding: _________________________
Congruent or Supplementary
2. Formulas
Angle Sum of a Triangle
Exterior Angles of a
Triangle
Interior Angle Sum of a
Polygon (define
variables)
Exterior Angles of a
Polygon (in words)
Pythagorean Theorem
(define variables)
The Distance Formula
(define variables)
3. Parts of a Right Triangle – label all sides using “a”, “b”, and “c” in the boxes
and then name the sides using the lines.
____________________________
___________________________
Stop Sign - The stop sign shown is a regular octagon. Answer the following
questions showing all work.
4. Find the sum of the measures of the interior angles.
5. Find the measure of an interior angle.
6. Find the measure of an exterior angle.
7-8. Solve using Pythagorean Theorem – show all work. Round answers to the
nearest tenth.
7.
8.
9-10. Plot the points. Then use the Distance Formula to find distance between the
points. Round answers to the nearest tenth.
9.
10.
11. Converse of the Pythagorean Theorem (fill in the blanks)
a. If c2 = a2 + b2 then ΔABC is _____________
b. If c2 < a2 + b2 then ΔABC is _____________
c. If c2 > b2 + a2 then ΔABC is _____________