SOLUTION: ISBN: 0618372628 Determine whether the statement is always true, sometimes true, or never true. a. if two angles of one triangle are equal to two angles of a second triangle

Question 51168: ISBN: 0618372628
Determine whether the statement is always true, sometimes true, or never true.
a. if two angles of one triangle are equal to two angles of a second triangle, then the triangles are similar triangles.
b. two isosceles triangles are similar triangles.
c. two equilateral triangles are similar triangles
Found 2 solutions by THANApHD, stanbon:
Answer by THANApHD(104) (Show Source): You can put this solution on YOUR website!
if two angles of one triangle are equal to two angles of a second triangle, then the triangles are similar triangles.
this is true, as we know two angles are equal to the other triangle's angles, so the third angle also must be equal to the other triangle's corresponding angle.
b. two isosceles triangles are similar triangles.
this is false, as we don't the sizes of the similar(equal) angles in the isosceles triangles
c. two equilateral triangles are similar triangles.
This true that, an equilateral triangles' one angle is equal to 60 degrees

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a. if two angles of one triangle are equal to two angles of a second triangle, then the triangles are similar triangles.
True, by AAA
b. two isosceles triangles are similar triangles.
False
c. two equilateral triangles are similar triangles
True by AAA
Cheers,
Stan H.

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