Triangles PQR and XYZ: PQ = XY = 8, QR = YZ = 6, PR = XZ = 7

Step by step

The question

Question: which rule shows that triangles PQR and XYZ are congruent?

1 Match the parts

Congruent means the same shape and the same size.

One fits exactly on top of the other.

The order of the letters shows which corners match: P with X, Q with Y, R with Z.

XYZ is turned over.

That does not matter.

PQ and XY are both 8: a pair of equal sides.

S for side.

QR and YZ are both 6: a pair of equal sides.

S for side.

PR and XZ are both 7: a pair of equal sides.

S for side.

2 Find the rule

All three pairs are sides.

Side, side, side: S S S.

Three sides fix the triangle.

Like three sticks: they join up in only one way.

So S S S shows the triangles are congruent.

Let's look back.

First: match the parts.

Last: find the rule.