Teresa is maintaining a camp fire. She has
kept the fire steadily burning for 4 hours with
6 logs. She wants to know how many logs she
needs to keep the fire burning for 18 hours.
Which equation can she use to determine how
many logs she needs for 18 hours?
A.
B.
C.
D.
𝑥
4
=
6
18
𝑥
18
=
6
4
𝑥
6
=
4
18
𝑥
18
=
4
6
~Write one sentence explaining what
answer you chose.
~Write one sentence explaining what
answers you were able to eliminate.


The word polygon means many (poly) angles
(gon). This includes triangles, squares,
rectangles, trapezoids, parallelograms, etc…
To determine the sum of the interior angles
of any polygon, use the formula: (n – 2)180;
n represent the number of angles within the
polygon.
(4-2)180
360
(3-2)180
180
(5-2)180
540

Scalene triangles have no sides and no angles
that equal one another.

Isosceles Triangles have two sides and two
angles that equal one another.

Equilateral Triangles have all the sides and all
the angles equal to one another.

Right triangles have one right angle.

Obtuse triangles have one obtuse angle.

Acute triangles have all acute angles.

In a triangle, angles correspond to opposite
sides. The bigger the angle, the bigger the
side.
Obtuse Scalene
Acute Isosceles
Right Scalene
Acute Scalene
Obtuse Isosceles
Right Isosceles
Acute Equilateral
All sides are the same
BC is the largest
AC is in the middle
AB is the smallest
AB is the largest
AC = BC


Remote Interior Angles
are the two angles
inside of a triangle that
are opposite of the
exterior angle.
∠x and ∠y are remote
interior angles.
Remote Interior Angles


Exterior Angle
Theorem says that the
sum of the two remote
interior angles equal
the exterior angle.
∠x + ∠y = ∠w
Exterior Angle Theorem

Triangle Inequality Theorem: the sum of any
two sides of a triangle is greater than the
third side.
∠A + ∠B > ∠C
∠A + ∠C > ∠B
∠B + ∠C > ∠A
5+3>7
5+7>3
3+7>5

Below is a triangle. What are the possibilities
of the value of x?
8 + 10 > x (x can’t be greater than 17)
x + 10 > 8 (x can’t be smaller than 0)
x + 8 > 10 (x cant be smaller than 3)
x therefore can be any number between 3 and 17.

Below is a triangle. What is the value of x?
2x + 3x = 100
5x = 100
x = 20

Below is a triangle. What are the measures of
angles 1 and 2?
∠2 = 30 + 42
∠2 = 72
∠1 + ∠2 = 180
∠1 + 72 = 180
∠1 = 108

Below is a triangle. What is the measure of
∠a?
180(n-2)
180(3-2)
180(1)
180
∠a + 36 + 57 = 180
∠a + 93 = 180
∠a = 87