Unit 4: Triangles and Similarity

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on side lengths?

Back

The types of triangles based on side lengths are: Equilateral (all sides equal), Isosceles (two sides equal), and Scalene (all sides different).

Front

What are the types of triangles based on angles?

Back

The types of triangles based on angles are: Acute (all angles less than 90°), Right (one angle equal to 90°), and Obtuse (one angle greater than 90°).

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you determine the largest side of a triangle?

Back

The largest side of a triangle is opposite the largest angle. To find it, compare the measures of the angles.

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer the side opposite to it.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90°.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are equal in length and all three angles are equal, each measuring 60°.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90°.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle where all three sides and all three angles are different.