Mathematics, 02.09.2021 03:50 alous2373
HELP
Use the diagram to answer the question.
If AB¯¯¯¯¯¯¯¯≅CB¯¯¯¯¯¯¯¯ is given, how can it be proved that m∠A=m∠C?
A. Draw a segment from B to a point D such that D is the midpoint of AC¯¯¯¯¯¯¯¯. Show that corresponding sides and the angle between these sides of new triangles ABD and CBD are congruent. Finally, use the Side-Angle-Side Congruence Postulate and the definition of congruent angles to show m∠A=m∠C
B. Draw a segment from B to a point D such that D is the midpoint of AC¯¯¯¯¯¯¯¯. Then, use the Triangle Sum Theorem to show m∠A=m∠C.
C. Draw a segment from B to a point D such that D is the midpoint of AC¯¯¯¯¯¯¯¯. Then, use the definition of isosceles triangles to show m∠A=m∠C.
D. Draw a segment from B to a point D such that D is the midpoint of AC¯¯¯¯¯¯¯¯. Then, show that corresponding sides of new triangles ABD and CBD are congruent. Finally, use the Side-Side-Side Congruence Postulate and the definition of congruent angles to show m∠A=m∠C.
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Use the diagram to answer the question.
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