Mathematics, 16.08.2021 04:00 murrachl000
Consider the diagram and proof by contradiction. Given: △ABC with ∠B ≅ ∠C Prove: AB ≅ AC Triangle A B C is shown. Angles A B C and B C A are congruent. It is given that ∠B ≅ ∠C. Assume AB and AC are not congruent. If AB > AC, then m∠C > m∠B by . If AC > AB, then m∠B > m∠C for the same reason. However, using the given statement and the definition of congruency, we know that m∠B = m∠C. Therefore, AB = AC and AB ≅ AC. What is the missing reason in the proof? converse of the triangle parts relationship theorem substitution definition of congruency converse of the isosceles triangle theorem
Answers: 3
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Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.
Answers: 1
Consider the diagram and proof by contradiction. Given: △ABC with ∠B ≅ ∠C Prove: AB ≅ AC Triangle A...
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