Consider the diagram and proof by contradiction. Given: △ABC with AB ≅ AC

Triangle A B C is shown. The lengths of sides A B and A C are congruent.

Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem. For the same reason, if m∠B < m∠C, then AC < AB. This is a contradiction to what is given. Therefore, it can be concluded that .

AB ≠ AC
∠B ≅ ∠C
ABC is not a triangle
∠A ≅ ∠B ≅ ∠C

How will globalization most likely affect language around the world? no new languages will be created. nations will adopt a universal language. more languages will become extinct. english will become less prevalent. languages will grow more isolated and distinct.

Explain how earths tilt and revolution around the sun affects weather and climate

Based on your knowledge of industrialization, which of the following statements best describes what is happening in this photo taken in the us around 1910? a. the children pictured here likely worked a 4 - 6-hour shift after school, five days a week, for minimum wage. b. the children pictured here are working illegally, as child labor was prohibited in the late 1880s. the children pictured here likely worked a 12-hour day, six days a week, for about one dollar a week d. the children pictured here likely earned good wages, were protected from risk of injury, and were likely to have a successful, long-term career in this industry.