Mathematics, 12.06.2021 14:00 BigCra
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: 3
Mathematics, 21.06.2019 12:30
Which triangles area would be calculated using the trigonometric area formula
Answers: 1
Mathematics, 21.06.2019 19:00
Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)
Answers: 2
Mathematics, 21.06.2019 22:00
Manuela claims that and are congruent. which statement best describes her claim? she is incorrect because the segments do not have the same orientation. she is incorrect because the segments do not have the same length. she is correct because the segments have the same length. she is correct because the segments have the same orientation.
Answers: 1
Mathematics, 21.06.2019 22:00
If x+y+z=0 what is the value of [tex] {x}^{3} + {y}^{3} + {z}^{3} [/tex]
Answers: 2
We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, w...
Mathematics, 26.06.2019 06:30
English, 26.06.2019 06:30
Mathematics, 26.06.2019 06:30
Mathematics, 26.06.2019 06:30
Mathematics, 26.06.2019 06:30
Biology, 26.06.2019 06:30
Health, 26.06.2019 06:30
Mathematics, 26.06.2019 06:30
Mathematics, 26.06.2019 06:30
History, 26.06.2019 06:30