Triangle Sum, Isosceles & Equilateral Practice

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

Define an Isosceles Triangle.

Back

An Isosceles Triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are also equal.

Front

Define an Equilateral Triangle.

Back

An Equilateral Triangle is a triangle in which all three sides are of equal length and all three interior angles are equal, each measuring 60 degrees.

Front

Back

The angles in a triangle always add up to 180 degrees.

Front

How do you classify a triangle based on its angles?

Back

Triangles can be classified as Acute (all angles < 90°), Right (one angle = 90°), or Obtuse (one angle > 90°).

Front

What is the formula for finding the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180 degrees: m\angle C = 180 - (m\angle A + m\angle B).

Front

What is the relationship between the sides and angles in an Isosceles Triangle?

Back

In an Isosceles Triangle, the angles opposite the equal sides are also equal.

Front

How do you solve for x in an equation involving angles?

Back

Set up the equation based on the angle relationships, simplify, and solve for x using algebraic methods.

Front

What is the measure of each angle in an Equilateral Triangle?

Back

Each angle in an Equilateral Triangle measures 60 degrees.