* 32% Exercise 4.7 #3 Prove that if a line is drawn parallel to the base of a triangle, it cuts off a triangle similar to the given triangle. Given: AABC, DE || AB Prove: ADEC ΔΑΒC Statements Reasons 1. (see above) 1. Given 2. If two parallel lines are cut by a transversal, then the corresponding angles are equal. 2. 3. ADEC AABC 3. B. E.
About proofs. Please help finish the blanks. Maybe you will need some of these theorems to prove the statement true...according to this unit.
Theorem 57- If two
Corollary 57-1 If two angles of one triangle are equal respectively to two angles of another, then the triangles are similar. (a.a.)
Corollary 57-2 Two right triangles are similar if an acute angle of one is equal to an acute angle of the other.
Theorem 58-If two triangles have two pairs of sides proportional and the included angles equal respectively, then the two triangles are similar. (s.a.s.)
Corollary 58-1 If the legs of one right triangle are proportional to the legs of another, the triangles are similar. (l.l.)
Theorem 59- If two triangles have their sides respectively proportional, then the triangles are similar. (s.s.s.)
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