CH 7 & 8 Review: Angles & Triangles

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

If two triangles have equal corresponding angles, what can we conclude about their side lengths?

Back

The side lengths of the triangles are proportional.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, triangle A and triangle B are similar because their corresponding sides are in proportion (1:2).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.