Question

Draw an example of two non-congruent triangles that have congruent corresponding angles and two pairs of sides (not corresponding) congruent. If not, explain why.

Answer #1

If two triangles have one pair of congruent sides and two pairs
of corresponding proportional sides, then the triangles are
similar.
True or false?

If the parts of two triangles are matched so that two angles of
one triangle are congruent to the corresponding angles of the
other, and so that a side of one triangle is congruent to the
corresponding side of the other, then the triangles must be
congruent. Justify this angleangle-corresponding side (AAS)
criterion for congruence. Would AAS be a valid test for congruence
if the word corresponding were left out of the definition?
Explain.

Prove: If two angles of a triangle are not congruent, then the
sides opposite those angles are not congruent.

if three angles in one triangle are congruent to three angles in
another triangle,then the two triangles are congruent.true or
false,if it is false make a counterexample

show that if the summit and the base angles of two saccheri
quadrilaterals are congruent then the reamining sides are
congruent.

formally/step by step: prove that similar but non-congruent
triangles cannot exist in elliptic geometry

1.38.2. If two triangles have two sides of one respectively
equal to two sides of the other and where the interior angles are
supplemental, then their areas are equal.

the triangles A_1, B_1, C_1 & A_2, B_2, C_2 & A_3, B_3,
C_3 have their corresponding sides parallel. Hence each pair of
triangles has a center of perspectivity (assume that these centers
of perspectivities exist). Prove that the three centers of
perspectivities are collinear.

Neutral Geometry Proof:
If two lines are cut by a transversal and
the alternate interior angles are congruent, or
the corresponding angle are congruent, or
the interior angles on the same side are supplementary, then the
lines are parallel.

List every way possible to prove that two triangles are
congruent (ASA, SSS, etc.,), including a sketch of each scenario,
with the proper marks to show congruence.

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