# Geometry Exam Review - Definitions

## Terms

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- Circumcenter
- The point of intersection of the three perpendicular bisectors in a triangle
- Corresponding Angles
- Two angles that occupy corresponding positions on a transversal
- CPCTC
- Corresponding parts of congruent triangles are congruent
- Regular Polygon
- A polygon with all sides and all angles equal
- Parallelogram
- A quadrilateral whose opposite sides are both parallel and congruent
- Converse
- The converse of a conditional statement is formed by interchanging the hypothesis and conclusion
- Hypothesis
- An educated guess
- Acute Angle
- An angle that is less than 90°
- Interior of an Angle
- A point that is between points that lie on each side of the angle
- Conditional Statement
- A statement which has the form "If P, then Q", which can be written as p>q
- Equiangular Polygon
- A polygon in which all of its angles are congruent to each other
- Perpendicular Bisector
- A line or segment passing through the mid pt. of one of the sides perpendicular to that side
- Concurrent
- Two or more lines or segments that intersect at a single point
- Altitude
- A segment from a vertex that is perpendicular to the opposite side
- Ray
- A straight line extending from a point
- Subtraction Property of Equality
- If a = b then a - c = b - c
- Rhombus
- A parallelogram with four equal sides
- Alternate Exterior Angles
- Two angles opposite each other that lie outside two parallel lines cut by a transversal
- Angle
- Consists of two different rays that have the same initial point
- Line Segment
- A part of a line
- Perpendicular
- Two lines that intersect to form right angles
- Substitution Property of Equality
- If a=b, then b can be substituted for a in any equation
- Consecutive Interior Angles
- Two angles that lie between two parallel lines on the same side of the transversal
- Transitive Property of Equality
- If a=b and b=c, then a=c
- Conclusion
- Represented by Q in conditional statements
- Base of a Trapezoid
- One of 2 parallel sides of the trapezoid
- Counterexample
- An example of a conditional statement in which the hypothesis is fulfilled and the conclusion is not fulfilled proves that the statement is false
- Obtuse Triangle
- A triangle that contains an obtuse interior angle
- Parallel Lines
- Two lines on the same plane that will never intersect each other
- Contrapositive
- The contrapositive of a conditional statement is true if and only if the conditional statement is true
- Centroid
- The point of intersection of the three medians in a triangle
- Midpoint
- The point that divides a line segment in half
- Incenter
- The intersection point of a triangle's three angle bisectors
- Equiangular triangle
- A triangle in which all of its angles are congruent to each other
- Segment Bisector
- A line, segment, or ray that goes through a midpoint of a segment
- Right Angle
- An angle whose measure is equal to 90°
- Concave Polygon
- A polygon in which if any line is extended in it, no point will ever lie in the interior of the polygon
- Legs of a Trapezoid
- The nonparallel sides of a trapezoid
- Complementary Angles
- A pair of angles whose measurements add up to 90°
- Vertical Angles
- Angles are formed opposite of each other when two lines intersect
- Supplementary Angles
- Two angles that add to 180º
- Alternate Interior Angles
- Two angles opposite each other that lie between two parallel lines cut by a transversal
- Kite
- A quadrilateral that has two pairs of consecutive congruent sides but opposite sides are not congruent
- Isosceles Trapezoid
- A trapezoid whose legs are congruent
- Isosceles Triangle
- A triangle with two congruent sides
- Opposite Rays
- Two rays with the same initial point that go in opposite directions
- Median
- A line passing through the mid pt. of a side and through the opposite vertex
- Obtuse Angle
- An angle between 90º and 180º
- Polygon
- A shape with straight sides that is simple and closed
- Paragraph Proof
- A proof in the format of a paragraph
- Right Triangle
- A triangle with one right angle
- Base Angles of a Trapezoid
- One pair of consecutive angles whose common side is a base of a trapezoid
- Symmetric Property of Equality
- If a=b, then b=a
- Linear Pair
- Two adjacent angles whose non-common sides are opposite rays
- Oblique
- Lines that intersect but are not perpendicular
- Reflexive Property of Congruence
- Any figure is congruent to itself
- Exterior of an Angle
- Any point that is not on the angle or inside the interior of the angle is on the exterior angle
- Congruent
- States that two or more shapes or segments are equal in measure
- Hypotenuse
- The side of a right triangle opposite the right angle
- Acute Triangle
- A triangle whose interior angles are all acute
- Midsegment of a Trapezoid
- A segment whose endpoints are the midpoints of the non-parallel sides of the trapezoid
- Equilateral Polygon
- A polygon in which all of its sides are congruent to each other
- Convex
- Non-concave
- Scalene Triangle
- A triangle with no congruent sides
- Midsegment of a Triangle
- A line segment that connects the midpoints of two sides of a triangle
- Adjacent Angles
- 2 angles that share a side and vertex but no interior points
- Transitive Property of Congruence
- If a≅b and b≅c, then a≅c
- Trapezoid
- A quadrilateral with one pair of parallel sides
- Addition Property of Equality
- It states that if you add the same value to each side of an equation, the results are equal. (If A = B, then A + C = B +C)
- Square
- Having four equal sides and every angle a right angle
- Exterior Angle
- The outside of an angle
- Rectangle
- A parallelogram with four right angles
- Multiplication Property of Equality
- Multiplying the same quantity to both sides of an equation. (If a=b, then ac=bc)
- Orthocenter
- The intersection point of a triangle's three altitudes
- Diagonal
- The segment that joins two nonconsecutive vertices
- Slope-Intercept Equation
- Y=m(x)+b
- Included Angle
- The angle that is created where two adjacent angles meet
- Reflexive Property of Equality
- When something equals itself
- Division Property of Equality
- Dividing the same quantity to both sides of an equation. (If a=b, then a/c=b/c)
- Line
- Something straight that holds an infinite amount of points and never ends
- Angle Bisector
- A segment that bisects one of the angles of the triangle
- Skew
- Lines that never intersect but are not parallel
- Straight Angle
- An angle of 180º
- Equilateral Triangle
- A triangle in which all of its sides are congruent to each other