Mathematics, 14.12.2020 22:20, jdeelc
Given: ΔABC is isosceles; AB ≅ AC Prove: ∠B ≅ ∠C Triangle A B C is shown. Sides B A and A C are congruent. We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that . Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the . However, this contradicts the given information that . Therefore, , which is what we wished to prove. Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.
Answers: 1
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Aportion of a line bounded by two points is defined as
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This stem-and-leaf plot represents the heights of the students on ralph's basketball team. one student's height is missing from the plot. if the mean height of all the students on the team is 61 inches, what is the missing height? a. 55 in. b. 59 in. c. 61 in. d. 65 in.
Answers: 2
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