Quadrilaterals
What is 360 degrees
What is the area formula of a triangle?
What is "one half times the base and the height" or (1/2)b*h
State the definition of "proportion"
What is "equality between two ratios"
The definition of a point
What is "a point is that which has no part"
State Postulate 1
What is "To draw a straight line from any point to any point"
What is equal and parallel.
What is the area formula for the area of a trapezoid?
What is "one half times the height and the Σ of its bases" or (1/2)h*(b1+b2)
Explain at the board using examples what the geometric mean is
1:2::2:4 or (3/9) = (9/27)
Definition of a straight line
What is "a straight line is a line which lies evenly with the points on itself"
State Common Notion 1
What is "Things which are equal to the same thing are equal to one another"
The base angles of isosceles trapezoids are _______.
What is equal.
State the complete definition of the altitude of a triangle.
What is "perpendicular distance from the vertex to the base"
Corresponding sides are _____________, corresponding angles are ____________.
What is "Corresponding sides are proportional, corresponding angles are equal"
Definition of a right angle
What is "when a straight line standing on a straight line makes the adjacent angles equal to one another"
The diagonals of a rectangle are _________.
What is equal.
State the Midsegment Theorem
State the complete Pythagorean Theorem in words (do not give the formula)
What is the definition of "magnitude of dilation"
What is "magnitude of dilation gives the relative size of the image compared with the original."
If triangles are on equal bases and in the same parallels, the triangles are __________.
What is "equal" or "congruent"
A transversal falls on two parallel lines. State all of the pairs of angles that must be equal.
What is 1) alternate interior angles 2) corresponding angles 3) alternate exterior angles 4) vertical angles
A quadrilateral is equiangular iff it is _________.
What is "a rectangle"
State the complete Area Postulate.
"Every polygonal region has a positive number called its area such that 1) congruent triangles have equal areas 2) the area of a polygonal region is equal to the sum of the areas of its non-overlapping parts.
Draw a triangle on the board with a side splitter and state what you know about the sides of the triangle based off the Side-Splitter Theorem. Label all the points on your triangle.
AD:DB::AE:EC
In any triangle, if one of the sides be produced, the exterior angle is equal to ______________________________.
What is "the two interior and opposite angles.
Postulate 5: "That, if a straight line falling on two straight lines make the interior angles _________________________________________________________________, the two straight lines, if produced indefinitely, meet on that side on which _________________________________________________________________.
What is "That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles."