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olga55 [171]
3 years ago
13

In the figure below, segment AC is congruent to segment AB.

Mathematics
2 answers:
sattari [20]3 years ago
4 0

Answer:

Option B is correct.

Angle DAC is congruent to angle DAB

Step-by-step explanation:

Given: Segment AC is congruent to segment AB.

In  ΔABD and ΔACD

AB \cong AC    [Given]

[Congruent sides have the same length]

AB = AC         [Side]

AD = AD        [Common side]

\angle DAC =\angle DAB      [Angle]

Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then by SAS,

\triangle ABD \cong \triangle ACD

By CPCT [Corresponding Parts of congruent Triangles are congruent]

then;

\angle ABD \cong \angle ACD

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB

brilliants [131]3 years ago
4 0
The right answer for the question that is being asked and shown above is that: "Angle DAC is congruent to angle DAB." The statement that is used to prove that angle ABD is congruent to angle ACD is that <span>Angle DAC is congruent to angle DAB.</span>
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