Thank you for visiting Use the given information to name two triangles that are congruent ABCD is a square with four congruent sides and four congruent angles Triangle BAD. 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 :
In ABCD a square with four congruent sides and four congruent angles, ΔBAD is congruent to ΔBCD by the ASA rule.
In mathematics, the term "congruent" refers to figures and forms that may be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.
A triangle is a closed polygon with three line segments that intersect at each of its three angles. When the sides and angles of two triangles match, the triangles are said to be congruent. Hence, two triangles may be placed side by side and angle by angle on top of one another.
According to the ASA rule, two triangles are said to be congruent if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle.
In the given figure ABCD is a square.
In ΔBAD and ΔBCD
∠B ≅ ∠B ----Common Angle
∠A ≅ ∠A ------Each of 90° angle
Side BD ≅ Side BD ----Common Side
So we can say that ΔBAD ≅ ΔBCD -----(ASA rule)
Hence, ΔBAD is congruent to ΔBCD by the ASA rule.
Learn more about Congruent triangles:
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