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maths geometry 3

Please help maths geometry 3-example-1
User Thew
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Explanation:

(j)

because of the angles of 2 intersecting lines are the same (just left- right mirrored) on both sides of an intersected line, we can say that the

inner angle STR = inner angle PTQ.

we know that

P = S = 90°

so, again, the always and forever rule : the sum of all angles in a triangle is 180°.

and therefore, since 2 pairs of angles are already equal between the triangles, we know the third pair of angles (Q and R) must be equal too.

so, we know all 3 pairs of angles are equal, and one pair of sides is equal (PQ and SR).

so, we can apply e.g.

ASA (angle- side - angle) as for P-PQ-Q to S-SR-R to prove that PQR is congruent with SRQ.

User SPSN
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