Unique triangles

What is a unique triangle?

• A triangle that can be formed with a specific set of angle measures or side lengths, meaning no other triangle can have the same measurements.

• A triangle that has all sides of equal length.

• A triangle that has one angle greater than 90 degrees.

• A triangle that can be formed with any combination of angles and sides.

What is an isosceles triangle?

• A triangle with all sides of different lengths.

• A triangle that has at least two sides of equal length and the angles opposite those sides are equal.

• A triangle that has one right angle.

• A triangle with all sides of equal length.

How many triangles can be formed with angle measures of 55°, 45°, and 90°?

• One triangle exists.

• Two triangles can be formed.

• No triangle exists.

• Three triangles can be formed.

If two angles of a triangle are 30° and 70°, what is the measure of the third angle?

• 60°

• 70°

• 80°

• 90°

Which set of side lengths can form a triangle? 6, 8, 13 or 7, 9, 18 or 7, 7, 14 or 2, 6, 9?

• 6, 8, 13

• 7, 9, 18

• 7, 7, 14

• 2, 6, 9

Can a triangle have sides measuring 2 cm, 3 cm, and 6 cm?

• Yes, because 2 + 3 is greater than 6.

• No, because 2 + 3 is not greater than 6.

• Yes, because the sides can form a triangle.

• No, because the sides are too short.

What is the sum of the interior angles of a triangle?

• 90°

• 180°

• 360°

• 270°

How can you determine if three lengths can form a triangle?

• The sum of the lengths of any two sides must be greater than the length of the third side.

• The lengths must all be equal to each other.

• The lengths must be in ascending order.

• The product of the lengths must be greater than the sum of the lengths.

What is an equilateral triangle?

• A triangle with one angle measuring 90°.

• A triangle in which all three sides are of equal length and all three angles are equal (each measuring 60°).

• A triangle that has two sides of equal length.

• A triangle where all angles are acute.

What is the triangle inequality theorem?

• The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

• The triangle inequality theorem states that the sum of the lengths of all three sides of a triangle must be equal to the length of the longest side.

• The triangle inequality theorem states that the lengths of all three sides of a triangle must be equal.

• The triangle inequality theorem states that the difference between the lengths of any two sides of a triangle must be less than the length of the third side.