Unit 1 Test Flashcards
What is a line?
A “moving point”. Travels in two opposite directions forever, it has one dimension, and is named by two points. It is infinitely small and has no width, it never bends or curves.
What is a point?
A singular location with no size, no dimension, and is infinitely small. It is named with capital letters.
What is a plane?
A 2 diminsional flat surface that spans outward in all directions forever. It is infinitely flat and named with 3 points.
What is a segment/line segment?
A “line” that starts at one point and ends at another. Or a part of a line formed between two points.
What is a ray?
A “line” that extends in one direction forever. Or a part of a line that has one endpoint.
What is an angle?
2 rays with a common endpoint.
What are collinear points?
2 or more points on the same line.
What are coplanar points?
2 or more points on the same plane.
What is inductive reasoning?
Reaching conclusions based on observations.
What is a sequence?
A list of numbers.
What is an arithmetic sequence?
A sequnce where you add or subtract the same number consecutive terms.
What is a geometric sequence?
A sequence where you multiply or divide by the same number in between terms.
What are congruent segments?
2 segments that have the same length.
What is a midpoint?
A point splitting a segment into two congruent segments.
What is the segment addition postulate?
The distance from A to B+B to C=the distance from A to C.
What are complimentary angles?
Two angles that add up to 90 degrees.
What are supplementary angles?
Two angles that add up to 180 degrees.
What is an acute angle?
An angle with a measure between 0 and 90 degrees.
What is an obtuse angle?
An angle with measures between 90 and 180 degrees.
What is a right angle?
An angle with a measure of 90 degrees.
What is a congruent angle?
2 angles with equal measure.
What is an angle bisector?
A ray that splits an angle into two congruent angles.
What are adjacent angles?
2 angles that share a vertex, a ray, and dont overlap.
What is a linear pair of angles?
2 adjacent angles that form a line.
What is the angle addition postulate?
Angle ABV plus angle BVC= angle AVC
Part+Part=Whole
What are parallel lines?
2 lines on the same plane that intersect.
What are perpendicular lines?
A line that intersects another line segment at its midpoint forming a right angle.
What is the incenter?
The point where 3 angle bisectors of a triangle intersect.
What is the circumcenter?
The point where 3 perpendicular bisectors of a triangle intersect.
What are the 5 building blocks of geometry postulates?
- Two lines intersect to form a point
- Two planes intersect to form a line
- Through any two points there is exactly one line
- Through any three non-collinear points there is exactly one plane
- If you take two points on a plane, then the line containing those points must be on the same plane.
What is the median of a triangle?
A line segment involving a triangle going from a vertex to the midpoint of the opposite side.
What is the centroid?
The point where 3 medians of a triangle intersect.
What is a postulate?
Something obvious.
What is the altitude of a triangle?
A segment involving a triangle going from a vertex perpendicular to the opposite side.
What is the orthocenter?
The point where the 3 altitudes of a triangle intersect.
What do you use the find the centroid?
Median(vertex to midpoint)
What do you use to find the orthocenter?
Altitudes(vertex perpendicular to opposite side)
What do you use to find the incenter?
Angle bisectors
What do you use to find the circumcenter?
perpendicular bisectors.
