The correct answer is [b] ΔHGF and ΔABC.
In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
<h3>What do you mean by congruent?</h3>
In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.
Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.
According to the graph, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.
The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.
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