Geometry
Fundamentals of Geometry flashcards
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- What is a point?Points, Lines, and Planes
- An exact location with no size.
- How far does a line extend?Points, Lines, and Planes
- Forever in both directions.
- What does coplanar mean?Points, Lines, and Planes
- Lying in the same plane.
- What does collinear mean?Points, Lines, and Planes
- Lying on the same straight line.
- Does a mathematical point have width?Points, Lines, and Planes
- No; it marks an exact location.
- How are points commonly named?Points, Lines, and Planes
- With capital letters.
- Is a drawn dot the exact mathematical point?Points, Lines, and Planes
- No; it is a visible representation of a point.
- How many distinct points determine a line?Points, Lines, and Planes
- Exactly two.
- How many endpoints does a line have?Points, Lines, and Planes
- None.
- How is a line through A and B written?Points, Lines, and Planes
- With a double-headed arrow over AB.
- How many non-collinear points determine a plane?Points, Lines, and Planes
- Three.
- Does a plane have a boundary?Points, Lines, and Planes
- No; it extends indefinitely.
- How many endpoints does a segment have?Segments, Rays, and Midpoints
- Two.
- How many endpoints does a ray have?Segments, Rays, and Midpoints
- One; it extends in one direction.
- If B is between A and C, how are the lengths related?Segments, Rays, and Midpoints
- AB + BC = AC.
- What makes M the midpoint of AB?Segments, Rays, and Midpoints
- M lies on AB and AM = MB.
- What are the two fixed ends of a segment called?Segments, Rays, and Midpoints
- Endpoints.
- How is ray AB different from ray BA?Segments, Rays, and Midpoints
- They begin at different endpoints and generally point in opposite directions.
- Does a segment have a finite length?Segments, Rays, and Midpoints
- Yes.
- When can AB + BC = AC be used?Segments, Rays, and Midpoints
- When A, B, C are collinear and B is between A and C.
- How do you find BC if AC and AB are known?Segments, Rays, and Midpoints
- Subtract: BC = AC − AB.
- If AB = 4 and BC = 6, what is AC?Segments, Rays, and Midpoints
- 10.
- Where must a midpoint lie?Segments, Rays, and Midpoints
- On the segment, between its endpoints.
- What is a segment bisector?Segments, Rays, and Midpoints
- A line, ray, segment, or other figure that intersects the segment at its midpoint.
- If M is midpoint and AM = 7, what is AB?Segments, Rays, and Midpoints
- 14.
- What theorem explains the distance formula?Distance and Midpoint on a Coordinate Plane
- The Pythagorean theorem.
- How do you find the midpoint of two coordinate points?Distance and Midpoint on a Coordinate Plane
- Average their x-values and average their y-values.
- What are the horizontal and vertical changes from (1,2) to (4,6)?Distance and Midpoint on a Coordinate Plane
- 3 horizontally and 4 vertically.
- What do coordinate differences represent in the distance formula?Distance and Midpoint on a Coordinate Plane
- Horizontal and vertical legs of a right triangle.
- Distance from (0,0) to (3,4)?Distance and Midpoint on a Coordinate Plane
- 5.
- Can a distance be negative?Distance and Midpoint on a Coordinate Plane
- No.
- What happens to the x-coordinates in the midpoint formula?Distance and Midpoint on a Coordinate Plane
- Average them.
- What happens to the y-coordinates in the midpoint formula?Distance and Midpoint on a Coordinate Plane
- Average them.
- Midpoint of (0,0) and (6,8)?Distance and Midpoint on a Coordinate Plane
- (3,4).
- What is the vertex of an angle?Angles and Angle Pairs
- The common endpoint of its two rays.
- What is an acute angle?Angles and Angle Pairs
- An angle measuring less than 90°.
- What do complementary angles add to?Angles and Angle Pairs
- 90°.
- What do supplementary angles add to?Angles and Angle Pairs
- 180°.
- What is true of vertical angles?Angles and Angle Pairs
- Opposite angles formed by intersecting lines have equal measures.
- What is a right angle?Angles and Angle Pairs
- An angle measuring 90°.
- What is an obtuse angle?Angles and Angle Pairs
- Greater than 90° and less than 180°.
- What is a straight angle?Angles and Angle Pairs
- An angle measuring 180°.
- When does angle addition apply?Angles and Angle Pairs
- When a ray lies inside an angle and splits it into adjacent angles.
- Two parts measure 20° and 35°. Whole angle?Angles and Angle Pairs
- 55°.
- How do you find a missing angle part?Angles and Angle Pairs
- Subtract the known part from the whole angle.
- What is a linear pair?Angles and Angle Pairs
- Adjacent angles whose noncommon sides are opposite rays.
- Complement of 40°?Angles and Angle Pairs
- 50°.
- Supplement of 110°?Angles and Angle Pairs
- 70°.
- Where are vertical angles located?Angles and Angle Pairs
- Opposite one another at an intersection of two lines.
- Are vertical angles adjacent?Angles and Angle Pairs
- No.
- One vertical angle is 72°. What is the other?Angles and Angle Pairs
- 72°.