Triangles: Core Properties

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Triangle basics quiz to reinforce key concepts.

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Nancy Vanessa Ruano Castillo

Colombia

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Triangles: Core Properties


Triangles: Core PropertiesVersión en línea Triangle basics quiz to reinforce key concepts. por Nancy Vanessa Ruano Castillo 1 What is the fundamental property of the sum of the internal angles of any triangle? a The sum varies by triangle type. b The sum is 90 degrees. c The sum is 360 degrees. d The sum is always 180 degrees. 2 According to the Triangular Inequality Theorem, what condition must the sides meet for a triangle to exist? a Any two sides are equal. b The largest side must be greater than the sum of the other two. c All sides must be integers. d The sum of any two sides is greater than the third side (and the difference is less than the third). 3 What is an outer angle of a triangle equal to according to the properties of the angles? a It equals the smallest inner angle. b It equals half the sum of all interior angles. c It equals the sum of the two non-adjacent inner angles. d It equals the opposite interior angle. 4 If a triangle has sides 7, 5, and 6, what is the order of the angles from largest to smallest? a Largest opposite the 7, then opposite 6, then opposite 5. b All angles are equal. c Largest opposite 6, then 5, then 7. d Largest opposite 5, then 6, then 7. 5 What are the main characteristics of an equilateral triangle? a Two sides are equal and angles are 120°. b All angles are 90°. c Sides are unequal but angles are 60°. d All sides are equal and all internal angles are 60°. 6 In a right triangle, how are the sides related according to the Pythagorean Theorem? a Hypotenuse is the sum of legs. b The product of legs equals hypotenuse. c The difference of squares of legs equals hypotenuse. d The sum of the squares of the legs equals the square of the hypotenuse. 7 What is the ratio of the sides in a 30-60-90 triangle? a 2 : 1 : √3 b The sides are in the ratio 1 : √3 : 2. c 1 : 2 : √3 d 1 : 1 : 1 8 What special property defines a triangle 45-45-90? a It is an acute scalene triangle. b It is a right triangle and an isosceles triangle with sides in ratio 1 : 1 : √2. c It has equal hypotenuse and one leg. d All sides are equal, angles 45° each. 9 When should the Heron Formula be used to calculate the area of a triangle? a When height is known but sides are unknown. b Only for equilateral triangles. c When only the three side lengths are known and height is not available. d Only for right triangles. 10 If two triangles are similar with a side ratio of 2:3, what is the ratio of their areas? a The areas are in the ratio 4:9. b 3:4 c 8:9 d 6:9

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Triangles: Core Properties

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Triangles: Core PropertiesVersión en línea

por Nancy Vanessa Ruano Castillo

What is the fundamental property of the sum of the internal angles of any triangle?

According to the Triangular Inequality Theorem, what condition must the sides meet for a triangle to exist?

What is an outer angle of a triangle equal to according to the properties of the angles?

If a triangle has sides 7, 5, and 6, what is the order of the angles from largest to smallest?

What are the main characteristics of an equilateral triangle?

In a right triangle, how are the sides related according to the Pythagorean Theorem?

What is the ratio of the sides in a 30-60-90 triangle?

What special property defines a triangle 45-45-90?

When should the Heron Formula be used to calculate the area of a triangle?

If two triangles are similar with a side ratio of 2:3, what is the ratio of their areas?