Prove: triangle CBF cong triangle EDF using isometric (rigid) transformations. Outline the necessary transformations to prove triangle CBF cong triangle EDF using a paragraph proof. Be sure to name specific sides or angles used in transformation and any congruency statements.

Question

Prove:

△ C B F \tilde{=} △ E D F

using isometric (rigid) transformations.
Outline the necessary transformations to prove

△ C B F \tilde{=} △ E D F

using a paragraph proof. Be sure to name specific sides or angles used in transformation and any congruency statements.

Answer 1

Step 1
Given,

Step 2
In $△ △ D E F and △ △ C B F$
$∠ C B F = ∠ E D F \dot{s} [Alternative interior angle]$
$∠ B C F = ∠ D E F \dot{s} [Alternative interior angle]$
$\overset{―}{C B} p a r a l \leq l \overset{―}{E D} \dot{s} (given)$
Step 3
Angle - angle side congruency property,
So,
$△ C B F \tilde{=} △ E D F hence, proved$

Prove: triangle CBF cong triangle EDF using isometric (rigid) transformations. Outline the necessary transformations to prove triangle CBF cong triangle EDF using a paragraph proof. Be sure to name specific sides or angles used in transformation and any congruency statements.

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