McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
3. Proving Triangles Congruent-SSS, SAS
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Exercise 17 Page 359

What is congruent in the two triangles?

Not possible.

Practice makes perfect
On the given figure, one side of the two triangles is common and the markers indicate one pair of congruent sides in the two triangles.
However, there is nothing else given on the figure that indicates congruence. Two pairs of congruent sides is not enough to imply congruence. Let's review the requirements for each congruent postulate.

Extra

Congruent Figures
Two figures are congruent if there is a rigid motion or sequence of rigid motions that maps one of the figures onto the other. As a result, congruent figures have the same size and shape. To denote algebraically that two figures are congruent, the symbol is used.
Showing that to figures are congruent by mapping one onto the other
When writing a polygon congruence, the corresponding vertices must be listed in the same order. For the polygons above, two of the possible congruence statements can be written as follows. ABCDE ≅ JKLMN or CDEAB ≅ LMNJK