Similar Triangles Quiz

What is the main problem discussed in the video?

• Finding the area of a triangle

• Determining if two triangles are similar

• Calculating the perimeter of a triangle

• Finding the height of a triangle

Which theorem states that two triangles are similar if they have two equal angles?

• Side-Angle-Side

• Angle-Angle

• Side-Side-Side

• Angle-Side-Angle

What is required for the Side-Angle-Side theorem to prove similarity?

• Two angles and a side

• Two sides and the included angle

• Three sides

• Two sides and a non-included angle

Why can't we prove the triangles are similar initially?

• We don't have enough information

• The triangles are not congruent

• The sides are not equal

• The angles are not given

What additional information is given about the triangles in the problem?

• They are congruent

• They have equal sides

• They have parallel lines

• They have equal areas

How can we prove that the angles are equal in the given problem?

• By using the Side-Side-Side theorem

• By using the Angle-Angle theorem

• By using alternate interior angles

• By using the Angle-Side-Angle theorem

What theorem is used to prove the angles are equal?

• Alternate Interior Angles

• Angle-Angle

• Side-Angle-Side

• Side-Side-Side

What is the proportion set up to solve for x?

• x - 3 / x + 18 = 16 / 4

• x - 3 = x + 18

• x - 3 / x + 18 = 4 / 16

• x + 18 / x - 3 = 4 / 16

What is the first step after setting up the proportion?

• Subtract the fractions

• Cross multiply

• Add the fractions

• Divide the fractions

What is the result of the cross multiplication?

• 4(x - 3) = 16(x + 18)

• 4x - 3 = 16x + 18

• 4(x + 18) = 16(x - 3)

• 4x + 18 = 16x - 3