Triangle Relationships

What value does x equal? (Type only numerical value)

What is m ∠ S? (type numerical answer only)

What measure is the vertex angle of the similar isosceles triangles below? (Only type the numerical answer)

What measure is the measure of base angles of the similar isosceles triangles below? *Recall base angles are congruent. (Only type the numerical answer)

What is the sum of the interior angles? (DO TRIANGLE SUM)(Only type the numerical answer)

Taygan is a designer for a dress company. She is creating a triangular design for a dress using color ribbon. She has 4 pieces of ribbon that are 3 cm, 5 cm, 6 cm, and 10 cm in length. Which 3 pieces of ribbon could Taygan use to create a triangular design for her dress?

• 3, 5, 6
• 5, 6, 10
• 3, 6, 10
• 3, 5, 10

Which 3 pieces of ribbon would Taygan not be able to use to create a triangular design for her dress? Justify your answer using the Triangle Inequality theorem.

• 3, 5, 6
• 5, 6, 10
• 3, 6, 10
• 3, 5, 10

Is triangle FED an equilateral triangle?

• yes
• no

Is there an isosceles triangle present?

• yes
• no