Tools of Geometry
Parallel and Perpendicular Lines
Congruent Triangles
Polygons and Quadrilaterals
Similarity
100
An angle that is greater than 0 degrees and less than 90 degrees
What is an acute angle
100
Coplanar lines that do not intersect
What are parallel lines
100
If three sides of one triangle are congruent to the three sides of another triangles, then the two triangles are congruent
What is the Side-Side-Side Postulate (SSS)
100
A polygon that is both equilateral and equiangular
What is a regular polygon
100
Compares three (or more) numbers
What is an extended ratio
200
The number of square units enclosed in a polygon
What is area
200
Lines that are noncoplanar, not parallel, and do not intersect
What are skew lines
200
A triangle with a pair of sides congruent and a pair of angles congruent
What is an isosceles triangle
200
A quadrilateral with both pairs of opposite sides parallel
What is a parallelogram
200
The ratios of corresponding linear measurements of two similar figures
What is a scale factor
300
A straight path that extends in two opposite directions without end and has no thickness
What is a line
300
A line that intersects two or more coplanar lines at distinct points
What is a transversal
300
A triangle with all angles congruent
What is an Equiangular Triangle
300
A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent
What is a kite
300
If two angles of one triangle are congruent to two angles of another triangles, then the triangles are similar
What is the Angle-Angle Similarity Postulate (AA~)
400
A two dimensional diagram that you can fold to form a three dimensional figure
What is a net
400
The ratio of the vertical change to the horizontal change between any two points
What is slope
400
The side opposite the right angle in a right triangle
What is a hypotenuse
400
A type of proof using coordinates and algebra to prove theorems in geometry
What is a coordinate proof
400
For any two positive numbesr a and b, the positive number x such that (a/x) = (x/b)
What is the geometric mean
500
A flat surface that extends without end and has no thickneess
What is a plane
500
The sum of the measures of the angles of a triangle is 180
What is the Triangle Angle Sum Theorem
500
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent
What is the Hypotenuse-Leg Theorem
500
If a quadrilateral is a trapezoid the (1) the midsegment is parallel to the bases, and (2) the length of the midsegment is half of the sum of the lengths of the bass
What is the Trapezoid Midsegment Theorem
500
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those side proportionally
What is the Side-Splitter Theorem (Miss Clark Theorem)