Math Flashcards

(25 cards)

1
Q

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

A

180 degrees.

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2
Q

True or False: An equilateral triangle has all sides of equal length.

A

True.

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3
Q

Fill in the blank: A triangle with one angle measuring more than 90 degrees is called a _____ triangle.

A

obtuse.

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4
Q

What type of triangle has two sides of equal length?

A

Isosceles triangle.

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5
Q

Multiple choice: What is the name of a triangle with three sides of different lengths? (A) Equilateral (B) Isosceles (C) Scalene

A

C) Scalene.

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6
Q

What is the formula for calculating the area of a triangle?

A

Area = 1/2 * base * height.

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7
Q

True or False: A right triangle has one angle that measures exactly 90 degrees.

A

True.

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8
Q

What is the longest side of a right triangle called?

A

Hypotenuse.

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9
Q

Fill in the blank: The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the _____ and _____ sides.

A

other, two.

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10
Q

Multiple choice: Which triangle type is defined by having all angles less than 90 degrees? (A) Acute (B) Right (C) Obtuse

A

A) Acute.

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11
Q

What is an exterior angle of a triangle?

A

An angle formed by one side of the triangle and the extension of an adjacent side.

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12
Q

True or False: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

A

True.

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13
Q

What is the name of the point where the three medians of a triangle intersect?

A

Centroid.

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14
Q

Multiple choice: Which point is the intersection of the angle bisectors of a triangle? (A) Circumcenter (B) Incenter (C) Orthocenter

A

B) Incenter.

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15
Q

Fill in the blank: The _____ is the point where the three altitudes of a triangle intersect.

A

Orthocenter.

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16
Q

What is the term for a triangle that has one angle equal to 90 degrees?

A

Right triangle.

17
Q

True or False: All equilateral triangles are also isosceles.

18
Q

What is the relationship between the sides of a 30-60-90 triangle?

A

The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3/2 times the hypotenuse.

19
Q

Multiple choice: What is the circumcenter of a triangle? (A) Center of the circumcircle (B) Center of the incircle (C) Intersection of medians

A

A) Center of the circumcircle.

20
Q

What is the formula for the perimeter of a triangle?

A

Perimeter = side1 + side2 + side3.

21
Q

Fill in the blank: The _____ of a triangle is the line segment that connects a vertex to the midpoint of the opposite side.

22
Q

True or False: The angles opposite equal sides in an isosceles triangle are also equal.

23
Q

What is the name of the triangle formed by connecting the midpoints of the sides of another triangle?

A

Median triangle.

24
Q

Multiple choice: How many lines of symmetry does an equilateral triangle have? (A) 1 (B) 2 (C) 3

25
What is the formula for Heron's area calculation for a triangle?
Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter.