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What is Deductive Reasoning ?
Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved statements. The process of deductive reasoning involves three steps:
Step 1: Start with the given conditions (hypothesis).
Step 2: Use logic, definitions, postulates, or previously proved theorems to justify a sequence of thoughts.
Step 3: State your conclusions.
Example 4 : Given DABC is an equilateral triangle with three congruent sides A@B@C. After we use logic to supply the correct statements in step 2, we can come to the conclusion (theorem): If all the three sides of a triangle are congruent, then the three angles are congruent.
Graph ( x - 2) 2 /9+4(y + 2) 2 = 1 Solution It is an ellipse. The standard form of the ellipse is ( x - h
How do you solve a table to get the function rule?
How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a
solve and graph the solution set 7x-4 > 5x + 0
Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t
Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c
in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?
1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy
The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+
find a quadratic equation whose roots are q+1/2 and 2p-1 with p+q=1
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