Types of Triangles and Their Properties

The video tutorial covers the properties of equilateral and isosceles triangles, explaining their characteristics and how to identify them. It includes example problems to demonstrate how to apply these properties in solving geometry questions. The tutorial emphasizes the congruence of sides and angles in these triangles and uses the triangle sum theorem to solve for unknown values.

What is a key characteristic of an isosceles triangle?

• It has no congruent sides.

• All angles are 90 degrees.

• It has two congruent sides.

• All sides are different lengths.

In an isosceles triangle, what are the two congruent sides called?

• Legs

• Bases

• Hypotenuses

• Vertices

What is the name of the angle opposite the base in an isosceles triangle?

• Base angle

• Acute angle

• Vertex angle

• Right angle

If two sides of a triangle are congruent, what can be said about the opposite angles?

• They are different.

• They are congruent.

• They are obtuse.

• They are right angles.

What is true about the angles in an equilateral triangle?

• They are all different.

• They are all 60 degrees.

• They are all 45 degrees.

• They are all 90 degrees.

If a triangle is equilateral, what can be said about its angles?

• They are all different.

• They are all right angles.

• They are all obtuse.

• They are all congruent.

In an equilateral triangle, what is the measure of each angle?

• 45 degrees

• 120 degrees

• 60 degrees

• 90 degrees

What is the sum of the angles in any triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In an equilateral triangle, if one side is 4 units, what are the lengths of the other sides?

• 5 units

• 2 units

• 3 units

• 4 units

If a triangle is equiangular, what can be said about its sides?

• None are congruent.

• They are all congruent.

• They are all different.

• Two are congruent.