![]() Adding unlike fractions 2: Finding the common denominator.Multiplication Algorithm - Two-Digit Multiplier.Structured drill for multiplication tables.Multiplication concept as repeated addition.Add a 2-digit number and a single-digit number mentally.Fact families & basic addition/subtraction facts. ![]() Using a 100-bead abacus in elementary math.Proof that square root of 2 is an irrational numberĪn example proof of a property of logarithms Repeat steps 1-8 using the two white triangles.ġ0. The lines that form the two sides of the quadrilateral are parallel.ĩ. 7 and the theorem that says that corresponding angles being the same is equivalent to lines being parallel.ĩ. The lines that form bottom and top of the quadrilateral are parallel.Ĩ. The two yellow triangles are congruent.Ĩ. The two yellow triangles are congruent.ĥ. The two angles marked with blue lines are congruent.Ĥ. The two lines marked with two brown little lines are congruent.ģ. The two lines marked with one brown little line are congruent.Ģ. Just have to write it so others can understand.ġ. I will have angles with same measure, so that makes that the lines must be parallel. ![]() It must be the corresponding angles stuff that will work there. Sounds like I can easily prove that there are two congruent triangles and other two congruent triangles.īut how can one get from that to proving that the lines forming the quadrilateral are parallel? So I will have some same angles and some same line segments. And, two lines crossing always form two pairs of vertical angles. Well right there it sounds like some line segments will have equal lengths. Meaning that the intersection point is a midpoint for both of the diagonals. So what you have is a quadrilateral with two diagonals that bisect each other. ![]() No need proving it." So instead I want to draw a quadrilateral that doesn't at first sight look like a parallelogram.) (Why? Because often, when looking at a picture that IS drawn exactly, we say, "Well I SEE that it's a parallelogram. I will try to draw a picture that doesn't look exactly like a parallelogram in other words a picture that is not exact. We're supposed to prove that it is a parallelogram. PROBLEM: Prove that if the two diagonals in a quadrilateral bisect each other, then the quadrilateral is a parallelogram.īetter draw a picture first of all. ![]()
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