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Conventionally you use the symbol that looks like an "equals" sign but consists of three lines. It is the same symbol as is used for identities.

ABC â‰¡ PQR

Q: How do you write a congruence statement for a pair of triangles?

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If I understand the question correctly, the answer is yes. Thanks to the transitive property of congruence.

A pair of triangles can form a 4 sided quadrilateral

I think it is either a right triangle, square, pentagon, or rectangle.

Equilateral triangle ,acute triangle

Any one pair of their corresponding angles are equal.

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the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.

If I understand the question correctly, the answer is yes. Thanks to the transitive property of congruence.

(1) third angle, (2) included

draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.

HL - usually in upper case - stands for "Hypotenuse - Leg". It is a specialized triangle congruence theorem, the "regular ones are SSS, SAS, and ASA. HL says that in two right triangles, if the hypoteneuses and a pair of legs (the sides forming the right angle) are congruent, then the triangles are congruent.

Pairs of triangles, in general, do not have to be similar.

A pair of triangles can form a 4 sided quadrilateral

If a side and two angles at either end of it (Angle-Side-Angle = ASA) of one triangle are the same measure as that of another triangle, then the two triangles are congruent. In fact, it does not have to be the angles at the ends of the sides in question since two angles being equal means that the third pair of angle will also be equal. So as long as the ASA are in corresponding order, the triangles will be congruent.

cuh it only works for right triangles yo!

I think it is either a right triangle, square, pentagon, or rectangle.

It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.

Equilateral triangle ,acute triangle