Question

In the given figure, PQ = CB, PA = CR, ∠P = ∠C. Is ΔQPR = ΔBCA? If yes, state the criterion of congruence.​

Answer 1

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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Given:

PQ = CB, PA = CR

and ∠P = ∠C

In ΔQPR and ΔBCA,

• PQ = CB (Given)
• ∠QPR = ∠BCA (Given)
• PA = CR (Given)

PA + AR = CR + AR (Adding AR to both sides)

or PR = CA

ΔQPR = ΔBCA (By SAS rule)

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Additional Information:

What is Triangle?

• Triangle is a closed figure which has three sides, three vertices and three angles.
• The sum of three angles of a triangle is equal to the 180 degree.

How many types of triangle?

• There are three types of triangle on the basis of sides are:

(1) Scalene Triangle

(2) Isosceles Triangle

(3) Equilateral Triangle

• There are three types of triangle on the basis of angles are:

(1) Acute Angled Triangle

(2) Right Angled Triangle

(3) Obtuse Angled Triangle

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Answer 2

Step-by-step explanation:

in triangle QPR and triangle BCA

•by using sas congurency critera

PQ=CB (given)

<QPR=<BCA(given)

PA=CA

hence it is proved