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Questions and Answers
What is an exact location in space?
What is an exact location in space?
point
What is a length made up of points that extends infinitely in both directions?
What is a length made up of points that extends infinitely in both directions?
Line
What is a portion of a line having two endpoints?
What is a portion of a line having two endpoints?
line segment
What is a portion of a line having one endpoint and extending infinitely in one direction?
What is a portion of a line having one endpoint and extending infinitely in one direction?
What is formed by two rays that share a common endpoint?
What is formed by two rays that share a common endpoint?
What is the common endpoint of an angle?
What is the common endpoint of an angle?
What are two lines that cross at a point called?
What are two lines that cross at a point called?
What are lines that never intersect called?
What are lines that never intersect called?
What are intersecting lines that form four right angles called?
What are intersecting lines that form four right angles called?
What is an angle between 0° and 90° called?
What is an angle between 0° and 90° called?
What is a 90° angle called?
What is a 90° angle called?
What is an angle between 90° and 180° called?
What is an angle between 90° and 180° called?
What is a 180° angle called?
What is a 180° angle called?
What is an angle between 180° and 360° called?
What is an angle between 180° and 360° called?
What are two angles that have a common side between them and share a common vertex called?
What are two angles that have a common side between them and share a common vertex called?
When two lines intersect, they form two pairs of opposite angles called _________
When two lines intersect, they form two pairs of opposite angles called _________
What are two angles whose sum is 90° called?
What are two angles whose sum is 90° called?
What are two angles whose sum is 180° called?
What are two angles whose sum is 180° called?
What is any four-sided polygon called?
What is any four-sided polygon called?
What is any quadrilateral that has only one set of opposite sides parallel called?
What is any quadrilateral that has only one set of opposite sides parallel called?
What is a quadrilateral that has both sets of opposite sides parallel called?
What is a quadrilateral that has both sets of opposite sides parallel called?
What is a parallelogram that has all equal sides called?
What is a parallelogram that has all equal sides called?
What is a parallelogram that has four right angles called?
What is a parallelogram that has four right angles called?
What is a rectangle that has all equal sides called?
What is a rectangle that has all equal sides called?
What type of triangle has three acute angles?
What type of triangle has three acute angles?
What is a triangle with one obtuse angle called?
What is a triangle with one obtuse angle called?
What is a triangle with one right angle called?
What is a triangle with one right angle called?
What is a triangle with three equal sides called?
What is a triangle with three equal sides called?
What is a triangle with two equal sides called?
What is a triangle with two equal sides called?
What is a triangle with no equal sides called?
What is a triangle with no equal sides called?
What is the formula for the area of a square?
What is the formula for the area of a square?
What is the formula for the area of a parallelogram?
What is the formula for the area of a parallelogram?
What is the formula for the area of a triangle?
What is the formula for the area of a triangle?
What is the formula for the area of a trapezoid?
What is the formula for the area of a trapezoid?
What is a figure formed from combining two or more simple shapes called?
What is a figure formed from combining two or more simple shapes called?
What is the line drawn from the center to any point on the circle called?
What is the line drawn from the center to any point on the circle called?
What is a line through the center with both ends on the circle called?
What is a line through the center with both ends on the circle called?
What is a line segment whose endpoints are on a circle called?
What is a line segment whose endpoints are on a circle called?
What is an arc that is equal to half a circle called?
What is an arc that is equal to half a circle called?
What is the part of a circle connecting two points on the circle called?
What is the part of a circle connecting two points on the circle called?
What is the measure of the distance around a circle called?
What is the measure of the distance around a circle called?
What is the formula for the area of a circle?
What is the formula for the area of a circle?
What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
What is the value of Pi (Ï€)?
What is the value of Pi (Ï€)?
What symbol means greater than?
What symbol means greater than?
What symbol means less than?
What symbol means less than?
What symbol means not equal to?
What symbol means not equal to?
What symbol means less than or equal to?
What symbol means less than or equal to?
What symbol means greater than or equal to?
What symbol means greater than or equal to?
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Study Notes
Geometry Basics
- A point denotes an exact location in space.
- A line is an infinite length formed by connecting points in both directions.
- A line segment is a part of a line with two defined endpoints.
- A ray has one endpoint and extends infinitely in one direction.
Angles and Lines
- An angle is formed by two rays that share a common endpoint known as the vertex.
- Intersecting lines cross each other at a single point, while parallel lines never cross.
- Perpendicular lines intersect forming four right angles.
Types of Angles
- An acute angle measures between 0° and 90°.
- A right angle measures exactly 90°.
- An obtuse angle is between 90° and 180°.
- A straight angle measures 180°.
- A reflex angle measures between 180° and 360°.
Angle Relationships
- Adjacent angles share a common side and vertex.
- Vertical angles are formed when two lines intersect, creating pairs of opposite angles.
- Complementary angles sum to 90°.
- Supplementary angles sum to 180°.
Quadrilaterals
- A quadrilateral is any polygon with four sides.
- A trapezoid has one pair of opposite sides parallel.
- A parallelogram has both pairs of opposite sides parallel.
- A rhombus is a parallelogram with all sides equal.
- A rectangle is a parallelogram with four right angles.
- A square is a rectangle with all sides equal.
Triangles
- An acute triangle has three acute angles.
- An obtuse triangle has one obtuse angle.
- A right triangle contains one right angle.
- An equilateral triangle features three equal sides.
- An isosceles triangle has two equal sides.
- A scalene triangle has no equal sides.
Area Formulas
- Area of a square: ( A = s^2 )
- Area of a parallelogram: ( A = bh )
- Area of a triangle: ( A = \frac{1}{2}bh )
- Area of a trapezoid: ( A = \frac{1}{2}h(b_1 + b_2) )
Circle Geometry
- A radius connects the center of a circle to any point on its circumference.
- A diameter is a line segment that passes through the center, with endpoints on the circle.
- A chord is a line segment whose endpoints lie on the circle.
- A semicircle is an arc that represents half of the circle.
- An arc connects two points on the circumference of the circle.
- Circumference measures the distance around a circle.
Circle Formulas
- Area of a circle: ( A = \pi r^2 )
- Circumference of a circle:
- ( C = 2\pi r )
- ( C = \pi d )
- Pi (( \pi )) is approximately 3.14.
Inequalities
- The symbol > denotes "greater than."
- The symbol < indicates "less than."
- The symbol ≠signifies "not equal to."
- The symbol ≤ means "less than or equal to."
- The symbol ≥ means "greater than or equal to."
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