Is the following a proof? If not, why not? Theorem: The base angles of an isosceles triangle are equal. Proof: Let ABC be an isosceles triangle with sides AB = AC. Then ABC is congruent to ACB because the corresponding sides are equal: AB = AC, BC = CB, AC = AB. Here, corresponding angles are equal: in particular ̸ ABC = ̸ ACB. (You may assume the usual geometrical properties of congruent triangles.)
Is the following a proof? If not, why not? Theorem: The base angles of an isosceles triangle are equal. Proof: Let ABC be an isosceles triangle with sides AB = AC. Then ABC is congruent to ACB because the corresponding sides are equal: AB = AC, BC = CB, AC = AB. Here, corresponding angles are equal: in particular ̸ ABC = ̸ ACB. (You may assume the usual geometrical properties of congruent triangles.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. Is the following a proof? If not, why not?
Theorem: The base angles of an isosceles triangle are equal.
Proof: Let ABC be an isosceles triangle with sides AB = AC. Then ABC is congruent to ACB because the corresponding sides are equal: AB = AC, BC = CB, AC = AB. Here, corresponding angles are equal: in particular ̸ ABC = ̸ ACB. (You may assume the usual geometrical properties of congruent triangles.)
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