Properties of Parallelograms
True or False: Opposite sides of a Parallelogram are not congruent
What is False?
Define the rule HLLS and SAAS
What is Hypotenuse/Leg = Leg/Segment. Segment 1/Altitude = Altitude/Segment 2
What is the definition of a proof
What is an argument that begins with known facts, proceeds from there through a series of logical deductions, and ends with the thing you're trying to prove.
A parallel line
What is lines that lie on the same plane and never intersect. They are always equidistant (of equal distance) from each other.
Let ABC be a triangle and A'C' a segment parallel to AC. What can you say about triangles ABC and A'BC'?
What is A'C' is parallel to AC, angles BA'C' and BAC are congruent. Also angles BC'A' and BCA are congruent. Since the two triangles have two corresponding congruent angles, they are similar.
Name three properties that can be used in a proof.
What is reflexive property, subtraction property, substitution property?
All parallelograms have this in common
What is opp. sides ll, opp. sides congruent, opp. angles congruent, consecutive angles are supplementary?
Find X and Y
What is? X = 4.5. Y = 7.5
What is missing from this Proof?
Given: AB ≅ CD, BC ≅ AF ∠AFD ≅ ∠ABF Prove: ABCD is a parallelogram
Statements Reasons
1. AB ≅ CD Given
2. BC ≅ AF Given
3. ∠AFD ≅ ∠ADF Given
4. AF ≅ AD Converse of isosceles triangle thm
5. AD ≅ BC Substitution property
6.
What is
Statement Reasons
6. ABCD is a parallelogram If opposite sides congruent, then the quad is a parallelogram
The fifth property of all parallelograms
What is diagonals bisect?
Find X and Y
What is X = 4 radical 5 Y = radical 55?
Prove: Line segment AC and line segment DB bisect each other.
What is 2 congruent segments ----> segment bisector?