Triangle Properties and Angle Relationships

The video tutorial covers key geometry vocabulary, including transversals, complementary and supplementary angles, and the Pythagorean theorem. It demonstrates solving equations to find angle measures and explores angle relationships such as corresponding and alternate interior angles. The exterior angle theorem is applied to solve for unknowns, and the Pythagorean theorem is used to determine side lengths in right triangles. Additional resources for practice are provided.

What is the term for a line that intersects two parallel lines?

• Bisector

• Perpendicular

• Transversal

• Tangent

If two angles add up to 90 degrees, what are they called?

• Supplementary

• Complementary

• Vertical

• Congruent

How do you find the measure of an angle if it is complementary to a 31.8° angle?

• Subtract 31.8 from 180

• Add 31.8 to 90

• Add 31.8 to 180

• Subtract 31.8 from 90

What is the measure of angle B if it is supplementary to a 145° angle?

• 55°

• 35°

• 65°

• 45°

Which angles are equal when two lines intersect?

• Adjacent angles

• Alternate interior angles

• Corresponding angles

• Vertical angles

What is the relationship between angles 1 and 2 if they are on the same side of a transversal?

• Supplementary

• Corresponding

• Vertical

• Alternate interior

Using the exterior angle theorem, what is the value of x if the exterior angle is 3x + 12 and the interior angles are 48 and 30?

• 22

• 28

• 24

• 26

What is the hypotenuse in a right triangle with sides 27 and 36?

• 55

• 60

• 45

• 50

How can you verify if a triangle with sides 24, 143, and 145 is a right triangle?

• Check if 143² + 145² = 24²

• Check if 24² + 145² = 143²

• Check if 24² + 143² = 145²

• Check if 24² + 143² = 144²

Which of the following sets of sides does not form a right triangle?

• 27, 36, 45

• 16, 56, 65

• 18, 24, 30

• 24, 143, 145