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Geometry Midterm
Study for midterm
53
Mathematics
10th Grade
01/19/2013

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Term
Point
Definition
Represented by a dot, named by a capital letter.
Term
Line
Definition
Made of points and extends without end in both directions, named by a single lower case letter or 2 points on the line.
Term
Plane
Definition
Flat surface that has no thickness and extends forever, named with a script capital letter or 3 points not on a line.
Term
Ray
Definition
Parts of a line that starts as an end point and extends forever in one direction, named by the endpoint and one other point.
Term
Opposite Rays
Definition
Two rays hat have a common endpoint and another point on each ray.
Term
Line Segment
Definition
Part of a line that begins at a point and ends at another named by end points.
Term
Collinear Points
Definition
Points are all on one line
Term
Congruent Line Segments
Definition
Segments that have the same lengths
Term
If-then statements
Definition
Uses Conditional Statement,conjectures, converses, and biconditionals
Term
Conditional
Definition
statement written in the form "If p, the q"
Term
Converse
Definition
Switch the hypothesis and conclusion
Term
Hypothesis
Definition
The "If part of the conditional statement
Term
Conclusion
Definition
the "then" part of the conditional statement
Term
Counterexample
Definition
one example where the conditional statement is not true
Term
Postulate
Definition
Statement accepted without proof
Term
Theorem
Definition
any statement that you can prove. Once you have proven a theorem, you can sue it as a reason later in proofs
Term
Complementary Angles
Definition
Two angles whose measurement have a sum of 180
Term
Supplementary Angles
Definition
Two angles whose measurement have a sum of 180
Term
Congruent Angels
Definition
Angles that have the same measure
Term
Adjacent Angles
Definition
Two angles in the same common vertex. AND a common side, but NO common interior
Term
Vertical Angles
Definition
Two nonadjacent angles formed by two intersecting lines.
Term
Alternate interior angles
Definition
two non adjacent interior angles on opposite sides of the transversal
Term
Alternate exterior
Definition
Two non adjacent exterior angles on opposite sides of the transversal
Term
Same side interior angles
Definition
Two non interior angles on the same side of the transversal
Term
Linear Pair Theorem
Definition
If two angles for a linear pair, then they are supplementary
Term
Angle Bisector
Definition
segment that divides a angle in two angles
Term
Segment bisector
Definition
point that divides a segment in two congruent segments
Term
Perpendicular Bisector
Definition
a line that is perpendicular to a segment and goes through at the midpoint
Term
Triangle
Definition
Figure formed by 3 segments join three noncoliniar points
Term
Skew Lines
Definition
Lines that are non-coplanar and don't intersect
Term
Parallel Lines
Definition
Lines that don't intersect
Term
Acute angle
Definition
Less than 90 degrees
Term
Right Angle
Definition
90 degrees
Term
obtuse angle
Definition
greater than 90 degrees less than 180 degrees
Term
Straight
Definition
Formed by two opposite rays equals 150 degrees
Term
Scalene Triangle
Definition
no congruent sides
Term
Isosceles Triangle
Definition
At least two congruent sides
Term
Equilateral Triangle
Definition
Three congruent sides
Term
Acute Triangle
Definition
Three acute angles in a triangle
Term
Right triangle
Definition
One right angle in a triangle
Term
Obtuse triangle
Definition
One obtuse angle in a triangle
Term
Equiangular triangle
Definition
Three congruent acute angles in a triangle
Term
Included angle
Definition
an angle formed by two adjacent sides of a polygon
Term
Included side
Definition
the common side of two consecutive angles in a polygon
Term
Hypotenuse
Definition
Longest side of a triangle
Term
Leg (of a right triangle)
Definition
two other sides of the triangles
Term
Altitude
Definition
a segment that has one endpoint at a vertex of a triangle and the other endpoint on the opposite side, so that the altitude is perpendicular to the opposite side
Term
Median
Definition
a segment that connects a vertex of a triangle to the midpoint of the opposite side of the triangle
Term
Pythagorean Theorem
Definition
in a tight triangle the square of the hypotenuse is equal to the sum of the squares of the legs
Term
Consecutive interior angles
Definition
Angles that lie between two lines and are on the same side of the transversal.
Term
Transversal
Definition
A line that intersects more than one line
Term
Perpendicular lines
Definition
Two lines that intersect that connect to form a right triangle
Term
Congruent triangles
Definition
Two triangles are said to be congruent if their corresponding sides and angles are equal
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