Similar 4.7:Provir ng Triangles Similar Complete the following proofs and add the emphasized statements to your proven statements. Exercise 4.7 #1 Prove that two isosceles triangles are similar if any angle of one equals the corresponding angle of the other. a. Case 1: Equal Vertex Angles Given: Isosceles AABC, isosceles ADEF, AC = BC, DF = EF, %3D ZC = ZF Prove: AABC ADEF Statements Reasons 1. (see above) 1. Given 2. Isosceles triangles with equal vertex angles have equal base angles also. (ex. 2.14 #5) 2. 3. AABC ~ ADEF 3.
Maybe you will need this 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. (I.I)
Theorem 59- If two triangles have their sides respectively proportional, then the triangles are similar. (s.s.s)
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