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

The chemical or mechanical process by which rock is gradually broken down eventually becoming soil

In which horizon of soil profile is prevent material usually found

What is the latitude and longitude (to the nearest degree) of the following cities? a. kansas city b. philadelphia c. reno d. minneapolis use the map to find the names of cities with the following coordinates. a. 30°n, 96°w b. 35°n, 95°w c. 26°n, 80°w d. 42°n, 88°w how many kilometers north of the equator is washington, dc? approximately how far north of houston is kansas city? use degrees of latitude to calculate your answer. show your work. which city is closer to greenwich, england: los angeles or xi’an, china (34°n, 109°e)? explain your answer. how many degrees of longitude separate las vegas from the international date line, which is at 180° longitude?