Podcast
Questions and Answers
What is a point?
What is a point?
- A flat surface
- A specific place marked by a dot (correct)
- A straight path
- An angle
Which of the following describes a line?
Which of the following describes a line?
- A flat surface
- An angle
- A part of a line with two endpoints
- A straight path that goes on forever in both directions (correct)
What is a line segment?
What is a line segment?
- A straight path going in one direction
- A part of a line with two endpoints (correct)
- A type of angle
- A line without endpoints
What defines a ray?
What defines a ray?
What is a plane?
What is a plane?
What are intersecting lines?
What are intersecting lines?
What are parallel lines?
What are parallel lines?
What are perpendicular lines?
What are perpendicular lines?
What are degrees in terms of angles?
What are degrees in terms of angles?
What is a right angle?
What is a right angle?
What is an acute angle?
What is an acute angle?
What is an obtuse angle?
What is an obtuse angle?
What is a straight angle?
What is a straight angle?
What is a vertex?
What is a vertex?
What is an equilateral triangle?
What is an equilateral triangle?
What is an isosceles triangle?
What is an isosceles triangle?
What is a scalene triangle?
What is a scalene triangle?
What is a right triangle?
What is a right triangle?
What is an acute triangle?
What is an acute triangle?
What is an obtuse triangle?
What is an obtuse triangle?
What is an interior angle?
What is an interior angle?
What is an exterior angle?
What is an exterior angle?
What does it mean for shapes to be congruent?
What does it mean for shapes to be congruent?
What does it mean for shapes to be similar?
What does it mean for shapes to be similar?
What is a quadrilateral?
What is a quadrilateral?
What is a polygon?
What is a polygon?
What defines a rectangle?
What defines a rectangle?
What defines a square?
What defines a square?
What is a parallelogram?
What is a parallelogram?
What defines a rhombus?
What defines a rhombus?
What is a trapezoid?
What is a trapezoid?
What is a regular polygon?
What is a regular polygon?
What is an irregular polygon?
What is an irregular polygon?
What is a pentagon?
What is a pentagon?
What is a hexagon?
What is a hexagon?
What is a heptagon?
What is a heptagon?
What is an octagon?
What is an octagon?
What is a nonagon?
What is a nonagon?
What is a decagon?
What is a decagon?
What is an undecagon?
What is an undecagon?
What is a dodecagon?
What is a dodecagon?
What is a diagonal?
What is a diagonal?
What is the center of a circle?
What is the center of a circle?
What is a radius?
What is a radius?
What is a diameter?
What is a diameter?
What is a chord?
What is a chord?
What is a central angle?
What is a central angle?
What is line symmetry?
What is line symmetry?
What is rotational symmetry?
What is rotational symmetry?
What is circumference?
What is circumference?
What is a complementary angle?
What is a complementary angle?
What is a supplementary angle?
What is a supplementary angle?
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Study Notes
Geometry Terms
- Point: A specific location represented by a dot and typically labeled with a letter.
- Line: An infinite straight path extending in both directions, named using two points on the line.
- Line Segment: A part of a line defined by two endpoints, named after these endpoints.
- Ray: A line segment with one endpoint that extends infinitely in one direction, named starting with the endpoint.
- Plane: An infinite flat surface named by three distinct points within it.
- Intersecting Lines: Lines that cross each other at one or more points.
- Parallel Lines: Lines that remain equidistant and never meet or diverge.
- Perpendicular Lines: Lines that intersect to form right angles (90 degrees).
Angles
- Degrees: Units used for angle measurement.
- Right Angle: An angle measuring exactly 90 degrees.
- Acute Angle: An angle that measures less than 90 degrees; considered 'small'.
- Obtuse Angle: An angle that exceeds 90 degrees; characterized as 'large'.
- Straight Angle: An angle measuring 180 degrees, appearing as a straight line.
- Interior Angle: An angle located inside a shape.
- Exterior Angle: An angle located outside a shape.
- Complementary Angles: Two angles that sum to 90 degrees.
- Supplementary Angles: Two angles that sum to 180 degrees.
Triangles
- Equilateral Triangle: A triangle with all sides of equal length.
- Isosceles Triangle: A triangle with two sides of equal length.
- Scalene Triangle: A triangle with no sides of equal length.
- Right Triangle: A triangle that includes a 90-degree angle.
- Acute Triangle: A triangle with three angles each measuring less than 90 degrees.
- Obtuse Triangle: A triangle containing one angle greater than 90 degrees.
Polygon Basics
- Polygon: A shape with at least three straight sides, with no gaps or curves.
- Quadrilateral: A polygon with four sides.
- Regular Polygon: A polygon with all sides and angles congruent.
- Irregular Polygon: A polygon made up of sides of different lengths and angles.
- Specific Polygon Names:
- Pentagon: Five sides.
- Hexagon: Six sides.
- Heptagon: Seven sides.
- Octagon: Eight sides.
- Nonagon: Nine sides.
- Decagon: Ten sides.
- Undecagon: Eleven sides.
- Dodecagon: Twelve sides.
Circles
- Center of a Circle: The point equidistant from all points on the circumference.
- Radius: A line segment from the center to any point on the circle.
- Diameter: A line segment passing through the center, connecting two points on the circle.
- Chord: A line segment connecting two points on the circle, not necessarily passing through the center.
- Central Angle: An angle whose vertex is positioned at the center of the circle.
- Circumference: The total distance around a circle.
Symmetry
- Line Symmetry: Occurs when a shape can be divided along a line such that both halves are congruent.
- Rotational Symmetry: When a shape can be rotated less than 360 degrees and appear unchanged.
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