Properties of triangles

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Triangles are polygons with three sides and three angles. Their properties are fundamental in geometry and derive from their basic structure. Here are the most important ones.

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Yaritza Alejandra Ñañez Ñañez

Colombia

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Properties of triangles


Properties of trianglesVersión en línea Triangles are polygons with three sides and three angles. Their properties are fundamental in geometry and derive from their basic structure. Here are the most important ones. por Yaritza Alejandra Ñañez Ñañez 1 What is the sum of the measures of the three interior angles of ANY triangle? a 90 degrees b 180 degrees c 360 degrees d It depends on the size of the triangle 2 What set of side lengths CANNOT form a triangle? Choose one or more answers a 4 cm, 5 cm, 6 cm b 7 cm, 7 cm, 14 cm c 10 cm, 12 cm, 15 cm d 3 cm, 4 cm, 5 cm 3 If a triangle has three sides of equal length, what is the name of that triangle and what is the measure of each of its interior angles? a Scalene; the angles are different. b Isosceles; Two angles are equal. c Equilateral; each angle measures 60 degrees. d Right-angled; one angle measures 90 degrees. 4 A triangle has two angles that measure 50 degrees and 70 degrees, respectively. What is the measure of the third angle? Choose one or more answers a 60 degrees b 120 degrees c 50 degrees d 70 degrees 5 In a triangle, the largest angle is always opposite: a The shortest side b The side of medium length c The longest side d Another equal angle 6 Imagine a triangle with the following angle measures: 30 degrees, 60 degrees, and 90 degrees. How would you classify this triangle according to its angles? a Acute b Right c Obtuse d Equilateral 7 The Triangle Inequality states that the sum of the lengths of any two sides of a triangle must be: a Equal to the length of the third side b Less than the length of the third side c Greater than the length of the third side d Less than or equal to the length of the third side 8 If a triangle has two sides of equal length, what are the angles opposite those sides called? a They are different b They are equal c One is a right angle and the other is acute d It cannot be determined 9 Which of these combinations of side lengths CANNOT form a triangle? a 1 cm, 1 cm, 1 cm b 5 cm, 12 cm, 13 cm c 2 cm, 3 cm, 6 cm d 8 cm, 15 cm, 17 cm 10 If a triangle has one angle that measures 110 degrees, how is this triangle classified according to its angles? a Acute b Right c Obtuse d Isosceles

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Properties of triangles

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Creada por

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Properties of trianglesVersión en línea

por Yaritza Alejandra Ñañez Ñañez

What is the sum of the measures of the three interior angles of ANY triangle?

What set of side lengths CANNOT form a triangle?

Choose one or more answers

If a triangle has three sides of equal length, what is the name of that triangle and what is the measure of each of its interior angles?

A triangle has two angles that measure 50 degrees and 70 degrees, respectively. What is the measure of the third angle?

Choose one or more answers

In a triangle, the largest angle is always opposite:

Imagine a triangle with the following angle measures: 30 degrees, 60 degrees, and 90 degrees. How would you classify this triangle according to its angles?

The Triangle Inequality states that the sum of the lengths of any two sides of a triangle must be:

If a triangle has two sides of equal length, what are the angles opposite those sides called?

Which of these combinations of side lengths CANNOT form a triangle?

If a triangle has one angle that measures 110 degrees, how is this triangle classified according to its angles?