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Geometry Flashcards

(59 cards)

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1
Q

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

A

180 degrees.

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2
Q

What is an isosceles right triangle?

A

An isosceles right triangle has a right angle and two sides of equal length.

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3
Q

What is the area formula for a square?

A

Area = side * side.

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4
Q

What is an equilateral triangle?

A

An equilateral triangle has all three sides of equal length.

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5
Q

How many triangles can be formed with 3 non-collinear points?

A

One triangle can be formed.

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6
Q

Fill in the blank: The circumference of a semi-circle is calculated with the formula _____ .

A

C = πr + 2r

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7
Q

What is the formula for the circumference of a circle?

A

C = 2πr, where r is the radius.

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8
Q

What is the relationship between the diameter and radius of a circle?

A

The diameter is twice the radius, d = 2r.

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9
Q

What distinguishes a rhombus from a parallelogram?

A

A rhombus has all four sides of equal length.

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10
Q

What is the formula for the area of a parallelogram?

A

A = base × height

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11
Q

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

A

True.

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12
Q

How do you classify a triangle that has one angle measuring 90 degrees?

A

As a right triangle.

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13
Q

How do you calculate the area of a triangle?

A

Area = 1/2 * base * height.

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14
Q

What is the area formula for a parallelogram?

A

Area = base * height.

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15
Q

What is the area formula for a triangle?

A

A = 1/2 × base × height

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16
Q

What is the difference between an acute triangle and an obtuse triangle?

A

An acute triangle has all angles less than 90 degrees, while an obtuse triangle has one angle greater than 90 degrees.

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17
Q

Fill in the blank: The formula for the circumference of a polygon is _____ .

A

C = sum of the lengths of all sides.

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18
Q

True or False: A triangle can have more than three sides.

A

False.

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19
Q

Fill in the blank: A triangle can be classified based on its angles as acute, obtuse, or __________.

A

right

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20
Q

What is an isosceles triangle?

A

A triangle with at least two sides of equal length.

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21
Q

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

A

The sum is 180 degrees.

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22
Q

How do you calculate the area of a circle?

A

A = πr², where r is the radius.

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23
Q

Fill in the blank: A square is a special type of ______.

A

Rectangle.

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24
Q

What is a parallelogram?

Study These Flashcards
A

A four-sided figure with opposite sides parallel and equal in length.

25
What is a triangle's centroid?
The centroid is the point where the three medians intersect.
26
True or False: All rectangles are squares.
False.
27
What is the definition of a triangle?
A triangle is a polygon with three edges and three vertices.
28
How many sides does a triangle have?
A triangle has three sides.
29
What is the Pythagorean theorem?
In a right triangle, a² + b² = c², where c is the hypotenuse.
30
Fill in the blank: A triangle has ______ vertices.
Three.
31
What shape has a circumference calculated with the formula C = 2πr?
Circle
32
What is the area formula for a triangle?
Area = 1/2 * base * height.
33
True or False: The circumference of a square is the sum of the lengths of its four sides.
True, C = 4 × side.
34
Fill in the blank: A triangle with two equal sides is called a __________ triangle.
isosceles
35
What is an equilateral triangle?
A triangle where all three sides are equal in length.
36
What are the types of triangles based on side lengths?
Equilateral, isosceles, and scalene.
37
What is a square?
A parallelogram with all sides equal and all angles equal to 90 degrees.
38
What is a triangle?
A polygon with three edges and three vertices.
39
What are the types of triangles based on angles?
Acute, right, and obtuse.
40
What is an obtuse triangle?
A triangle that has one angle greater than 90 degrees.
41
What is a triangle inequality theorem?
The sum of the lengths of any two sides must be greater than the length of the third side.
42
True or False: All squares are rectangles.
True.
43
What is the relationship between the diagonals of a rhombus?
The diagonals bisect each other at right angles.
44
Fill in the blank: The area of a rectangle is calculated using the formula _____ .
A = length × width
45
How many diagonals does a parallelogram have?
Two diagonals.
46
How many infinite triangles can be formed with a given set of points?
None; a triangle is defined by three distinct points.
47
What is a scalene triangle?
A scalene triangle has all sides of different lengths.
48
Fill in the blank: The longest side of a right triangle is called the __________.
hypotenuse
49
True or False: A triangle can be classified as both obtuse and acute.
False.
50
What is a right triangle?
A triangle that has one angle equal to 90 degrees.
51
True or False: A triangle can have two right angles.
False.
52
What is the formula for the perimeter of a triangle?
Perimeter = side1 + side2 + side3.
53
True or False: A triangle can have one angle greater than 90 degrees.
True.
54
What is the relationship between the sides of a triangle and its angles?
The largest side is opposite the largest angle, and the smallest side is opposite the smallest angle.
55
What is an acute triangle?
A triangle where all three angles are less than 90 degrees.
56
What are the types of triangles based on side lengths?
Equilateral, isosceles, and scalene.
57
What is the sum of the interior angles of a quadrilateral?
360 degrees.
58
What is a scalene triangle?
A triangle where all three sides are of different lengths.
59
What is a right triangle?
A right triangle has one angle that measures 90 degrees.

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