Theorems
What are the two congruent sides of an isosceles triangle called?
legs
An equilateral triangle has an angle measure value of 6x. Solve for x.
x = 10
In an equilateral triangle, one side is 8 m. What is the length of the other 2 sides?
both are 8 m
At an art supply store, two different triangular rulers are available. One has angles 45, 45, and 90. The other has angles 30, 60, and 90.
Which triangle is isosceles?
the ruler with sides 45, 45, and 90
Who does is playing in the Superbowl?
Seattle and New England
What is the difference between the vertex angle and the base angles?
The vertex angle is the angle with sides that are the legs. The base angles are the two angles formed by the base and the congruent sides.
An isosceles triangle has a vertex angle measure of 40 degrees. Find the other two angle measures.
both of the other angles are 70 degrees
In an isosceles triangle, one of the legs measures (2x+4). The other leg measures (3x-10). Solve for x.
x = 14
A foldable ruler has two hangers that divide the ruler into thirds. If the ends are folded up until they touch, what kind of triangle results?
equilateral
Which Disney princess has a raccoon for a sidekick?
Each angle of an equilateral triangle measures .
60 degrees
An equilateral triangle has one angle measure of 5x and another angle measure of 3y. Solve for x and y.
x = 12
y = 20
An equilateral triangle has one side length of 4, another side length of (2y+6), and another side length of (5x-3). Solve for x and y.
y = -1
x = (7/5) or 1.4
Mr. McMullan wants to build a pyramid greenhouse. He wants the sides to be isosceles triangles. He measures one of the legs to be 13 ft long, the base to be 30 ft long, and the vertex angle to be 45 degrees. What are the measurements of the base angles, the other leg, and possible midsegment?
Base Angles = 67.5 degrees
Other leg = 13ft
Midsegment = 15ft
How many days until Pitchers and Catchers Report?
T- 11 days
A triangle is equilateral then it is also .
equiangular
An isosceles triangle has a vertex angle that measures 52 degrees. The base angles measure (6y-2) and (4x+20). Solve for x and y.
x = 11
y = 11
An isosceles triangle has a vertex angle of 60 degrees. One of the legs has a side measure of (3x+8). The side length of the base is (4x-4). Solve for x. What are the lengths of the sides.
x = 12
each side has a length of 44
A marble path is constructed out of several congruent isosceles triangles. The vertex angles are all 20 degrees. What is the measure of the base angles?
80 degrees
Which Jamaican sprinter won gold medals at the 100m, 200m and 4 x 100m relay at three consecutive Olympic Games from 2008 - 2016?
Usain Bolt
Name the Theorem:
The sum of the angles measures of the interior angles of a triangle is 180 degrees.
Triangle Sum Theorem
An right isosceles triangle has base angles that measure 2x+3. Solve for x.
x = 21
An isosceles triangle has a leg with a length of 24. The other leg measures (x^2 + 5x). Find the value of x.
x = 3 AND -8
Every day, cars drive through isosceles triangles when they go over the Leonard Zakinthos Bridge in Boston. The ten-lane roadway forms the bases of the triangles.
If the measure of the base angle is 67, what is the measure of the vertex angle?
46 degrees
What is the first day of spring called?
Vernal equinox