Angle Relationships and Pythagorean Theorem

Front

What is the measure of angle 3 if m∠1 = 30°?

Back

m∠3 = 30° (Vertical Angles are equal)

Front

What type of angle relationship do vertical angles represent?

Back

Vertical Angles are angles opposite each other when two lines intersect, and they are equal.

Front

Identify the alternate interior angle to angle 3.

Back

Angle 5 is the alternate interior angle to angle 3.

Front

What is the vertical angle to angle 4 when two parallel lines are cut by a transversal?

Back

Angle 7 is the vertical angle to angle 4.

Front

What type of angle pair are angle 3 and angle 6?

Back

Angle 3 and angle 6 are Alternate Interior Angles.

Front

Define Corresponding Angles.

Back

Corresponding Angles are angles that are in the same position on two parallel lines in relation to a transversal.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of supplementary angles is 180°.

Front

What is 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): a² + b² = c².

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

The hypotenuse is 5 units (3² + 4² = 9 + 16 = 25; √25 = 5).

Front

What are Alternate Exterior Angles?

Back

Alternate Exterior Angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal.