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Are the two triangles congruent by RHS postulate?

 

 

 

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Important Questions on Congruence of Triangles

HARD
Let ABC be an acute angled triangle with AB=15 and BC=8. Let D be a point on AB such that BD=BC. Consider points E on AC such that DEB=BEC. If α denotes the product of all possible values of AE, find [α]10, whereα is the integer part of α.
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If we prove ∆ XYZ ≌ ∆ PQR by SSS congruence rule that means:

MEDIUM

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The triangles ABP and DCP are congruent by

 

 

 

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State True or False:

Two right isosceles triangles are always congruent.

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What information do you need to prove that the two triangles are congruent using the AAS postulate?

 

 

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To find the measure of angle A, identify the steps to be followed.

 

 

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The two triangles are congruent due to which condition?

 

 

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The triangles are congruent due to which postulate?

 

 

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The three sides of ∆HAT are equal to the sides of ∆RSI. Are the two triangles congruent?

 

 

 

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If two sides and the included angle of one triangle are equal to the two sides and included angle of another triangle then these two triangles are congruent by

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What more information is required to prove that the triangles are congruent by RHS?

 

 

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If QR bisects ∠PQS and ∠PRS, which of the following postulates can be used to prove

∆PQR ≌ ∆SQR?

 

 

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The two triangles ∆ RVS and ∆ RVK are congruent by

 

 

 

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Identify the pair of triangles showing Angle - Included Side - Angle congruence.

 

 

 

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Which postulate cannot be used to prove that ∆ ADB ≌ ∆ CDB?

 

 

 

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Write down the criterion for the congruence of the above pair of triangles.

 

 

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In the given figure, AC bisects BD and BD bisects AC. Using the given details the triangles ∆EDA and ∆ EBC are congruent by _____ (SSS/ SAS/ RHS/ ASA) rule of congruency.

 

 

 

 

 

MEDIUM

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In ∆ABC and ∆EFG, AB = EF, BC = FG. If ∆ ABC ≌ ∆EFG according to SAS rule of congruency then the necessary criteria that must be true in the figures to prove the congruency is