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For the picture of the kite below, how would you prove that triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4? Write a proof plan to answer.

For The Picture Of The Kite Below How Would You Prove That Triangle BCE Is Congruent To Triangle DCE If 1 Is Congruent To 2 And 3 Is Congruent To 4 Write A Proo class=

Sagot :

Answer:

∆ adc is congruent to ∆ abc by asa congruence rule where CA is common side,

so CD and CB are congruent therefore angle cbe is same as angle cde

so ∆ bce and ∆ dce are congruent by ASA congruence rule

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

For the figures to be congruent they must be the same size and shape or one could mirror the other since they mirror each other and are the same size and shape they are congruent.

In triangle ∆ ADC and ∆ ABC

∠2 = ∠1

∠4 = ∠3

Thus, ∆ ADC ≅ ∆ ABC

∆ ADC is congruent to ∆ ABC by ASA congruence rule where CA is common side.

Also, CD and CB are congruent therefore angle CBE is same as angle CDE.

Similarly, ∆ BCE and ∆ DCE are congruent by ASA congruence rule.

The triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 and ∠3 is congruent to ∠4.

Learn more about congruent triangles;

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