Thank you for visiting Given CBA FBA CAB FAB Prove ΔBCA ΔBFA Triangles CBA and FBA share common side BA Angles CBA and FBA are congruent Angles CAB and. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
ΔBCA Is-congruent-to ΔBFA can be proved by using property of congruence and third angle theorem.
What is corresponding angel?
Corresponding angles are any two angles that are both on the same side of a transversal that cuts two lines, as well as on the same side of the transversal.
What is the property of congruence?
If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Because the corresponding angles have the same measure in degrees, we may determine that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB (as evidenced in the given equation). By using the reflexive property of congruence (more precisely, the Third Angle Theorem), we can see that angle BCA and angle BFA are congruent. As a result, since the two triangles share a line segment, we may say that triangle BCA is congruent to triangle BFA since a pair of corresponding angles and the included side are equal (AB).
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