Podcast
Questions and Answers
What is a mixed number?
What is a mixed number?
- A fraction
- A whole number
- The sum of a whole number and a fraction (correct)
- An irrational number
What is a mathematical line?
What is a mathematical line?
A straight line that has no width and no ends.
What is a part of a line called?
What is a part of a line called?
Line segment
If two lines cross, they do not intersect.
If two lines cross, they do not intersect.
What do we call lines that do not intersect?
What do we call lines that do not intersect?
What do we call lines that make square corners at their intersection?
What do we call lines that make square corners at their intersection?
What are the angles made by perpendicular lines?
What are the angles made by perpendicular lines?
What do two right angles form?
What do two right angles form?
How many degrees are in a circle?
How many degrees are in a circle?
What is an angle smaller than a right angle called?
What is an angle smaller than a right angle called?
What is an angle larger than a right angle but smaller than a straight angle called?
What is an angle larger than a right angle but smaller than a straight angle called?
What is a polygon?
What is a polygon?
What is each segment of a polygon called?
What is each segment of a polygon called?
What is true about the number of sides and vertices in a polygon?
What is true about the number of sides and vertices in a polygon?
Match the number of sides to the name of the polygon:
Match the number of sides to the name of the polygon:
What is a polygon with an indention called?
What is a polygon with an indention called?
What do we call a polygon that does not have an indention?
What do we call a polygon that does not have an indention?
If all sides of a polygon have the same length, what is it called?
If all sides of a polygon have the same length, what is it called?
What do we call polygons with sides and angles of the same length and measure?
What do we call polygons with sides and angles of the same length and measure?
What is the sum of the measures of the three angles in a triangle?
What is the sum of the measures of the three angles in a triangle?
What is a triangle with a right angle called?
What is a triangle with a right angle called?
If all the angles in a triangle are less than 90 degrees, what is it called?
If all the angles in a triangle are less than 90 degrees, what is it called?
What is a triangle called if one angle measure is greater than 90 degrees?
What is a triangle called if one angle measure is greater than 90 degrees?
What is an isosceles triangle?
What is an isosceles triangle?
What characteristic does an equilateral triangle have?
What characteristic does an equilateral triangle have?
What is a scalene triangle?
What is a scalene triangle?
What defines a parallelogram?
What defines a parallelogram?
What is a trapezoid?
What is a trapezoid?
What is a rhombus?
What is a rhombus?
How is a square defined?
How is a square defined?
What does perimeter mean?
What does perimeter mean?
What is circumference?
What is circumference?
What is the distance from the center of the circle to the side of the circle called?
What is the distance from the center of the circle to the side of the circle called?
What is the diameter?
What is the diameter?
What is an irrational number?
What is an irrational number?
What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
What is a number?
What is a number?
What is a numeral?
What is a numeral?
The number 0 is a positive number.
The number 0 is a positive number.
What are negative numbers?
What are negative numbers?
What is zero called on a number line?
What is zero called on a number line?
Expression for the relationship between minuend, subtrahend, and difference?
Expression for the relationship between minuend, subtrahend, and difference?
What is 1 foot in inches?
What is 1 foot in inches?
What is 1 yard equivalent to in feet?
What is 1 yard equivalent to in feet?
What is 1 meter in centimeters?
What is 1 meter in centimeters?
What is 1 centimeter in millimeters?
What is 1 centimeter in millimeters?
What is 1 inch in centimeters?
What is 1 inch in centimeters?
What is 1 mile in feet?
What is 1 mile in feet?
What is 1 kilometer in meters?
What is 1 kilometer in meters?
Study Notes
Mixed Numbers and Lines
- A mixed number combines a whole number with a fraction, such as 13 3/5.
- A mathematical line is defined as a straight line with no width or endpoints.
Line Segments and Intersection
- A line segment has defined endpoints, forming a portion of a line.
- Lines that cross each other are said to intersect, and the intersection point is known as the point of intersection.
Parallel and Perpendicular Lines
- Lines that do not cross each other in the same plane are parallel.
- When two lines intersect to form square corners, they are perpendicular, creating right angles.
Angles and Measurement
- Right angles measure 90 degrees; two right angles together form a straight angle (180 degrees).
- A circle encompasses a total of 360 degrees.
- Angles smaller than 90 degrees are acute, while those greater than 90 degrees but less than 180 degrees are obtuse.
Polygons
- A polygon is a geometric figure with straight sides; each side is referred to as a side.
- The number of sides in a polygon corresponds to the number of vertices.
- Naming polygons is based on the number of sides:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
- Undecagon (11 sides)
- Dodecagon (12 sides)
- General n-gon refers to polygons with n sides.
Concave and Convex Polygons
- A concave polygon has at least one indentation, while a convex polygon has no indentations.
- An equilateral triangle features all sides of equal length, while a regular polygon has equal sides and angles.
Properties of Triangles
- The angles in a triangle always sum to 180 degrees.
- Triangles are categorized:
- Right triangle: has one right angle.
- Acute triangle: all angles are less than 90 degrees.
- Obtuse triangle: one angle is greater than 90 degrees.
- Isosceles triangles have at least two equal sides; equilateral triangles have all sides equal. Scalene triangles feature all sides of different lengths.
Quadrilaterals
- A parallelogram is a quadrilateral with two pairs of parallel sides.
- A trapezoid features only one pair of parallel sides.
- A rhombus is an equilateral parallelogram, while a square is a rhombus that additionally has four right angles.
Measurement: Perimeter and Circumference
- Perimeter refers to the total distance around a shape.
- Circumference specifically describes the distance around a circle.
Circle Geometry
- The radius is the distance from the center of the circle to its edge.
- The diameter is twice the radius length.
Numbers and Numerals
- Irrational numbers, like pi (3.141592654...), go on infinitely without repeating.
- The formula for calculating circumference is given by pi multiplied by the diameter or 2 times pi times the radius.
Real Numbers
- Numbers can be positive, negative, or zero, where zero acts as the origin on the number line.
- Definitions in subtraction show that minuend minus subtrahend equals the difference; similarly, dividend divided by divisor results in the quotient.
Measurement Conversions
- 1 foot equals 12 inches.
- 1 yard equals 3 feet.
- 1 meter equals 100 centimeters.
- 1 centimeter equals 10 millimeters.
- 1 inch equals 2.54 centimeters.
- 1 mile equals 5280 feet.
- 1 kilometer equals 1000 meters.
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Description
Prepare for your Algebra 1 Test with this comprehensive study guide. The flashcards cover essential concepts such as mixed numbers, mathematical lines, and line segments. Use these definitions to solidify your understanding and excel in your exam.
