Question

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

True or false?

Answer #1

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.

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.

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

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

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.

Prove in hyperbolic geometry: If two Saccheri quadrilaterals
have congruent bases and congruent summits, then they are
congruent.

A kite is defined as a quadrilateral with two distinct pairs of
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pairs of equal sides are equal and that the diagonals are
perpendicular.

Two symmetric dice have had two of their sides painted red, two
painted black, one painted yellow, and the other painted white.
When this pair of dice is rolled, what is the
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colors?

I have three shirts, two red, and one blue, and two pairs of
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(b) When I wake-up in the morning I am so tired. When I reach into
my closet, I blindly search for a shirt and a pair of pants. What
is the probability that I chose a red shirt and a black pair of
pants? (c) What is the probability that I chose a green shirt and a...

61. A lifter may wear two pairs of socks during the deadlift, as
long as at least one pair meets the requirements of covering the
lifters calves True False
62. A biomechanical advantage refers to understanding joint
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