Parallel & Perpendicular Lines and Right Triangles
100
(Half of the sum of x1 and x2, Half of the sum of y1 and y2)
What is the Midpoint Formula?
100
A quadrilateral that is both a rhombus and a rectangle.
What is a square?
100
An if-then statement; p --> q
What is a conditional?
100
In triangle ABC, if D is the midpoint of CA and E is the midpoint of CB, then DE is parallel to AB and DE is equal to 1/2(AB).
What is the Triangle Midsegment Theorem?
100
Nonadjacent interior angles that lie on opposite sides of the transversal.
What are Alternate Interior Angles?
200
The square root of x2 - x1 squared plus y2 - y1 squared
What is the Distance Formula?
200
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
What is the Polygon Exterior Angle-Sum Theorem?
200
p --> q: if the measure of angle A is equal to 15, then angle A is acute.
q --> p: if angle A is acute, then the measure of angle A is equal to 15.
What is the converse?
200
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
What is the Perpendicular Bisector Theorem?
200
If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
What is the Same-Side Interior Angles Postulate?
300
A quantity is congruent (equal) to itself; a = a
What is the Reflexive Property?
300
The sum of the measures of the interior angles of an n-gon is (n – 2)180.
What is the Polygon Angle-Sum Theorem?
300
p --> q: if the figure if a quadrilateral, then the figure is a square.
~p --> ~q: if the figure is not a square, then the figure is not a quadrilateral.
What is the inverse?
300
In triangle ABC and triangle DEF, if AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF, then triangle ABC is congruent to triangle DEF.
What is the Side-Side-Side Postulate?
300
If the sum of the squares of the lengths of two sides of a triangle is equal tot eh square of the length of the third side, then the triangle is a right triangle.
What is the Converse of the Pythagorean Theorem?
400
If a = b, then b = a.
What is the Symmetric Property?
400
A quadrilateral with one pair of sides that are both parallel and congruent.
What is a parallelogram?
400
p --> q: if a vegetable is a carrot, then it contains beta carotene.
~q --> ~p: if a vegetable does not contain beta carotene, then it is not a carrot.
What is the contrapositive?
400
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
What is the Polygon Exterior Angle-Sum Theorem?
400
If the hypotenuse and a leg of one right triangle are congruent tot he hypotenuse and leg of another right triangle, then the triangles are congruent.
What is the Hypotenuse Leg Theorem?
500
If a = b and b = c, then a = c.
What is the Transitive Property?
500
A quadrilateral with exactly one pair of parallel side.
What is a trapezoid?
500
A single true statement that combines a true conditional and its true converse.
What is a biconditional?
500
In triangle ABC and triangle DEF, if angle A is congruent to angle D, angle B is congruent to angle E, and AC is congruent to DF, then triangle ABC is congruent to triangle DEF.
What is the Angle-Angle-Side (AAS) Theorem?
500
The hypotenuse of a right triangle is equal to the product of a leg and radical 2.