Use rotation, and the angles and side lengths remain the same.
ACB=BED
BAC=BDE
ABC=EBD
AC=ED
AB=BD
BE=CB
Rotation rigid transformation can be used to map triangle ABC on to triangle DBE.
The angles ACB, BAC, ABC of given image are equals to the angles of preimage BED, BDE and EBD respectively. That is
ACB=BED
BAC=BDE, and
ABC=EBD
Also the sides AC, AB, and BE of the given image are equals to the sides of preimage ED, BD, and CB respectively. That is
AC=ED
AB=BD, and
BE=CB
The corresponding sides are
AC and DE
AB and BD
CB and EB
And the corresponding angles are
∠ACB and ∠BED
∠ABC and ∠EBD
∠CAB and ∠EDB
A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.
The three types of rigid transformation are:
1) Translation
2) Reflection
3) Rotation
According to the given question.
Triangle ABC is transformed to triangle DBE.
(a) Rotation rigid transformation can be used to map triangle ABC on to triangle DBE. If we rotate triangle ABC at 180 in clockwise direction the triangle ABC maps on to triangle DBE. ( A rotation is followed by another rotation).
(b) The angles ACB, BAC, ABC of given image are equals to the angles of preimage BED, BDE and EBD respectively. That is
ACB=BED
BAC=BDE, and
ABC=EBD
Also the sides AC, AB, and BE of the given image are equals to the sides of preimage ED, BD, and CB respectively. That is
AC=ED
AB=BD, and
BE=CB
(c) The corresponding sides are
AC and DE
AB and BD
CB and EB
And the corresponding angles are
∠ACB and ∠BED
∠ABC and ∠EBD
∠CAB and ∠EDB
Find out more information about rigid transformation here:
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