Tell whether the pair of triangles below is similar and give the reason.

Kye

Kye

Answered question

2021-07-30

Tell whether the pair of triangles below is similar and give the reason.
image
Yes, using the Side-Side-Side (SSS) similarity theorem
Yes, using the Angle-Angle (AA) similarity postulate
No, the triangles are not similar
Yes, using the Side-Angle-Side (SAS) similarity theorem

Answer & Explanation

komunidadO

komunidadO

Skilled2021-07-31Added 86 answers

Step 1
In the given triangles there are similar angles of 90 degree.
It is seen that two rays DC and AE are parallel in the triangle so the alternate interior angle will also be equal in the given triangle.

Step 2
From the diagram the consider the alternate interior angles are,
mDACmBAE
And the angle
mDmE
=90
Hence, by AA similarity the two triangles are similar.
Hence, the correct option is third one.
Yes, using the Angle-Angle (AA) similarity postulate.

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