5.1 Angles of Triangles

Remember!
Reflections:
x-axis (A, B)
y-axis (A, B)
y = x (A, B)
y = -x (A, B)
⟶
⟶
⟶
⟶
(A, -B)
(-A, B)
(B, A)
(-B, -A)
Rotations:
90º (A, B)
180º (A, B)
270º (A, B)
⟶ (-B, A)
⟶ (-A, -B)
⟶ (B, -A)
A’(-2,3), B’(-3,2), C’(-1,0), D’(0,2)
A’’(-6,9), B’’(-9,6), C’’(-3,0), D’’(0,6)
You will not graph on the Quiz – just state the ordered pair answers.
NAMES OF TRIANGLES
Classification by Sides
Equilateral
Triangle
3 congruent sides
Isosceles
Triangle
At least 2 congruent
sides
Scalene
Triangle
No congruent
sides
NAMES OF TRIANGLES
Classification by Angles
Acute
Triangle
Equiangular
Triangle
3 acute
angles
3
congruent
angles
Right
Triangle
Obtuse
Triangle
1 right
angle
1
obtuse
angle
Example 1
Classifying Triangles
Classify each triangle. Be as specific as possible.
obtuse scalene triangle
right isosceles triangle
You could also use the Pythagorean theorem to determine this!
a b  c
2
2
2
( 5 )  ( 45 )  ( 50 )
2
2
2
5 + 45 = 50
50=50
Remember, you must make sure that the two smaller segment
lengths are placed into the theorem for a and b!
Example 3
Finding An Angle Measure
42
42
92°
Don’t skip step: x + 50 = 2x + 8
Find the measure of each acute angle:
3x = 90