The video tutorial covers the right angle theorem, explaining that if two angles are both supplementary and congruent, they are right angles. It demonstrates this concept through examples, including a two-column proof and proving a line is an altitude. The tutorial also includes solving algebraic equations to determine if lines are perpendicular.

What is the result when two angles are both supplementary and congruent?

• They are acute angles.

• They are obtuse angles.

• They are right angles.

• They are complementary angles.

Tags

CCSS.7.G.B.5

What is the sum of angles in a linear pair?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.HSG.CO.C.9

In the example of the two-column proof, what is the goal of the proof?

• To prove that point P is the center of the circle.

• To prove that two triangles are similar.

• To prove that segment PB is perpendicular to segment AC.

• To prove that two angles are complementary.

Tags

CCSS.HSG.SRT.B.5

Which postulate is used to prove the congruence of triangles in the example?

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

Tags

CCSS.HSG.SRT.B.5

Which property states that a segment is congruent to itself?

• Transitive Property

• Symmetric Property

• Substitution Property

• Reflexive Property

What is the definition of an altitude in a triangle?

• A segment from a vertex perpendicular to the opposite side.

• A segment that is parallel to the base.

• A segment that divides the triangle into two equal areas.

• A segment that bisects an angle.

Tags

CCSS.HSG.CO.A.1

What is the result when two lines intersect at right angles?

• They are skew.

• They are perpendicular.

• They are parallel.

• They are collinear.

What is the value of x when solving the system of equations to determine perpendicularity?

• 18

• 15

• 12

• 10

What is the value of y when solving the system of equations to determine perpendicularity?

• 15

• 18

• 12

• 10

Tags

CCSS.8.G.A.5

What is the measure of each angle when x = 12 and y = 15 in the system of equations?

• 90 degrees

• 60 degrees

• 105 degrees

• 75 degrees

Tags

CCSS.8.G.A.5