ACDthe given figure, AABC is an equilateral triangle and Dis the midpoint of AC.The following proof that ABDA ABDC contains an error.Step123456StatementReasonAABC is equilateralGivenLACProperty of an equilateral triangleDis the midpoint of ACGiven/DBA/DBCDefinition of a midpointBABCABDAABDCProperty of an equilateral triangleSide-Angle-Side (SAS) congruence theoremWhich of the following statements best explains how to fix the error in the proof?A Step 2 and step 3 should be interchanged because all the given information must be first in a proof.B Step 4 should state AD CD, because a midpoint divides a line segment, not an angle, into two congruent parts.C Step 5 should state BA BC AC. because all three sides of an equilateral triangle are congruent.D Step 6 should use the Angle-Side-Angle (ASA) congruence theorem, because the two congruent sides are adjacent to the corresponding pairs of congruent angles.
A
C
D
the given figure, AABC is an equilateral
The following proof that ABDA ABDC contains an error.
Step
1
2
3
4
5
6
Statement
Reason
AABC is equilateral
Given
LAC
Property of an equilateral triangle
Dis the midpoint of AC
Given
/DBA/DBC
Definition of a midpoint
BABC
ABDAABDC
Property of an equilateral triangle
Side-Angle-Side (SAS) congruence theorem
Which of the following statements best explains how to fix the error in the proof?
A Step 2 and step 3 should be interchanged because all the given information must be first in a proof.
B Step 4 should state AD CD, because a midpoint divides a line segment, not an angle, into two congruent parts.
C Step 5 should state BA BC AC. because all three sides of an equilateral triangle are congruent.
D Step 6 should use the Angle-Side-Angle (ASA) congruence theorem, because the two congruent sides are adjacent to the corresponding pairs of congruent
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