False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
false
Two figures are congruent if and only if they have the same shape and size.
The proof would finish with the statement:"Therefore, bc is congruent to de".
false
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
false
Two polygons are similar if:the ratio of the lengths of their corresponding sides is the same, andtheir corresponding angles are equal.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
false
Δ ABC ~ Δ DEF, because ~ is the similarity symbol. Hope this helped!
The corresponding verb to statement is to state.
That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)
Two figures are congruent if and only if they have the same shape and size.
Transitive
the logical structure of the formulation of the CAP is on the form "p implies q", or "If p, then q". In symbols: p => q with p being the statement "l and l' are lines cut by a transversal t in such a way that two corresponding angles are congruent" and q the statement "l is parallel to l'" It's corollarys are also on this form, obviously with other p and q. Not sure if this is what you were looking for.
if