Properties of Triangles

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

• 360

• 270

• 90

• 180

Tags

CCSS.8.G.A.5

What is the name of a triangle that has all sides of equal length?

• isosceles triangle

• equilateral triangle

• scalene triangle

• right triangle

Tags

CCSS.4.G.A.2

What is the name of a triangle that has two sides of equal length?

• equilateral triangle

• isosceles triangle

• scalene triangle

• right triangle

Tags

CCSS.4.G.A.2

What is the name of a triangle that has no sides of equal length?

• scalene triangle

• right triangle

• equilateral triangle

• isosceles triangle

Tags

CCSS.4.G.A.2

What is the name of a triangle that has one angle greater than 90 degrees?

• acute triangle

• right triangle

• equilateral triangle

• obtuse triangle

Tags

CCSS.4.G.A.2

What is the name of a triangle that has all angles less than 90 degrees?

• obtuse triangle

• acute triangle

• right triangle

• equilateral triangle

Tags

CCSS.4.G.A.2

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 equal to the length of the third side.

• The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be less than or equal to the length of the third side.

• The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be less than the length of the third side.

• 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.

Which of the following sets of side lengths can form a triangle: (a) 3, 4, 8 (b) 5, 5, 10 (c) 6, 7, 12?

• a

• c

• b

• d

Tags

CCSS.7.G.A.2

Which of the following sets of side lengths can form a right triangle: (a) 3, 4, 5 (b) 5, 12, 13 (c) 7, 8, 10?

• (a) 3, 4, 5 and (b) 5, 12, 13 and (c) 7, 8, 10 can form a right triangle.

• (a) 3, 4, 5 and (b) 5, 12, 13 can form a right triangle.

• (b) 5, 12, 13 and (c) 7, 8, 10 can form a right triangle.

• (a) 3, 4, 5 and (c) 7, 8, 10 can form a right triangle.

Answer explanation

The question asks which set of side lengths can form a right triangle. The correct answer is (a) 3, 4, 5 and (c) 7, 8, 10. These sets satisfy the Pythagorean theorem, where the sum of the squares of the two shorter sides is equal to the square of the longest side. The other options do not satisfy this condition. Therefore, (a) 3, 4, 5 and (c) 7, 8, 10 can form a right triangle.

Tags

CCSS.8.G.B.8

What is the Pythagorean Theorem?

• The Pythagorean Theorem is a formula for finding the perimeter of a square.

• The Pythagorean Theorem is a mathematical formula that relates the lengths of the sides of a right triangle.

• The Pythagorean Theorem is used to calculate the area of a circle.

• The Pythagorean Theorem is a concept in geometry that deals with angles and lines.

Tags

CCSS.8.G.B.8