Given two triangles measurements are in ABC , angle B = 90⁰, AC = 8 cm, AB = 3 cm and in triangle PQR, angle P = 90⁰, PR = 8 cm, QR = 8 cm. Show that these two triangles are congruent.
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Answer:
In △ABC and △RPQ
∠B=∠P (Rightangle)
AC=RQ (hypotenuse, both 8cm)
AB=RP(side, both 3cm)
∴△ABC≅△RPQ by RHS congruence rule
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Step-by-step explanation:
An example of congruence. The two triangles on the left are congruent, while the third is similar to them. The last triangle is neither congruent nor similar to any of the others. Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles. The unchanged properties are called invariants.
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