Question

pls answer fasr , i will mark brainiest fr crrect option . i need explination also . pls no spam

Answer 1

$\bf{\dag}\:\underline{\frak{Question :}}$

In the figure below ray AZ bisects $\angle$ DAB and $\angle$ DCB.

(I) State the three pairs of equal parts in ∆BAC and ∆DAC.

(II) Is ∆BAC and $\cong$ ∆DAC? Give reasons.

(III) Is AB = AD? Justify.

(IV) Is CD = CB? Justify.

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$\bf{\dag}\:\underline{\frak{AnswErs :}}$

$\bigstar\underline{\textsf{ (I) In \triangle BAC and, \triangle DAC:}}\\\twoheadrightarrow\:\sf \angle DAC = \angle BAC \\\twoheadrightarrow\:\sf \angle DCA = \angle BCA\\\twoheadrightarrow\:\sf AC = AC$

(II) By ASA (Angle Side Angle) congruence rule ∆BAC $\cong$ ∆DAC.

(III) By CPCT (Corresponding parts of congruent Triangles) AB = AD. (∆BAC $\cong$ ∆DAC).

(IV) Same as third part, By CPCT (Corresponding parts of congruent Triangles) CD = CB. (∆BAC $\cong$ ∆DAC).

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Answer 2

Given

• In figure ray AZ bisects ∠DAB and ∠DAC

To find

• (I) State the three pairs of equal parts in ∆BAC and ∆DAC.
• (II) Is ∆BAC and  ∆DAC? Give reasons.
• (III) Is AB = AD? Justify.
• (IV) Is CD = CB? Justify

Solution

• (I) ∠DAC = ∠BAC
• ∠DCA = ∠BCA
• AC = AC
• ΔBAC ≅ ΔDAC

• (II) By ASA (Angle side angle) congruency rule

• (III) As triangles are congruent, AB = AD
• (Corresponding parts of congruent triangles)

• (IV) As triangles are congruent, CD = CB
• (Corresponding parts of congruent triangles)