Download CCM2 Unit 5 Classifying Triangles and Pythagorean Theorem

CCM2 Unit 5 Classifying Triangles and Pythagorean Theorem
NAME:________
I. Classifying Triangles by their angles
a) Acute Triangle: a triangle that has ____________________________
b) Obtuse Triangle: a triangle that has ___________________________
c) Right Triangle: a triangle that has _____________________________
d) Oblique Triangle
i.
An oblique triangle is a _______________________
ii.
These can be __________________ triangles or ________________ triangles
e) Equiangular Triangle: is a triangle that has ______________
II. Classifying Triangles by their sides
a) Scalene Triangle: is a triangle that ___________________________
b) Isosceles Triangle: is a triangle that has _______________________
c) Equilateral Triangle: is a triangle that has ______________________
III. Right Triangles and Special Sides
a) A right triangle has three special sides
b) These sides are dependent on the angles: a _________________ and a
____________________________
i. Hypotenuse – ___________________________________
ii. Opposite Leg – __________________________________
iii. Adjacent Leg – _________________________________
c) Mark the _________________ and the _______________ then label the sides
accordingly.
IV. Review: Pythagorean Theorem
a) Pythagorean Theorem is used to find missing sides in a triangle.
b) “a” and “b” represent the _________________________________
c) “c” represents the ___________________________
Examples: Find the missing sides using Pythagorean Theorem
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CCMII
Unit 5 Lesson 3  Right Triangles and Their Parts TEACHER KEY
I.
Classifying Triangles by their angles
a. Acute Triangle
i.
An acute triangle is a triangle that has THREE acute angles
b. Obtuse Triangle
i.
An obtuse triangle is a triangle that has at least ONE obtuse angle
c. Right Triangle
i.
A right triangle is a triangle that has at least ONE right angle
d. Oblique Triangle
i.
An oblique triangle is a non-right triangle
ii.
These can be acute triangles or obtuse triangles
e. Equiangular Triangle
i.
II.
An equiangular triangle is a triangle that has three congruent angles
Classifying Triangles by their sides
a. Scalene Triangle
i.
A scalene triangle is a triangle that has no congruent sides
b. Isosceles Triangle
i.
An isosceles triangle is a triangle that has at least TWO congruent sides
c. Equilateral Triangle
i.
III.
An equilateral triangle is a triangle that has THREE congruent sides.
Right Triangles and Special Sides
a. A right triangle has three special sides
b. These sides are dependent on the angles: a right angle and a selected angle
iv.
Hypotenuse – the side opposite the right angle
v.
Opposite Leg – the side opposite the selected angle
vi.
Adjacent Leg – the side touching the selected angle
Selected angle
Right angle