?

By Team Aakash Byju's | 7th November 2022

A

△ABC ∼ △PQR △ABC ∼ △QRP △ABC ∼ △RPQ △ABC ∼ △PRQ

As per the side-side-side similarity, the correct answer is B. △ABC ∼ △QRP.

[{"selector":"#anim-b302e0c9-e952-4168-97ab-561054a13cbc","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5770a5c7-657d-421b-a8f1-8381aec3b110","keyframes":{"transform":["translate3d(-158.16733%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-194e1077-dae8-4ecc-b715-68263e80c8f1","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-88a8b1e4-9ab4-409e-8d64-eef65ffa1043","keyframes":{"transform":["translate3d(-115.14196%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-960525fa-947c-495f-b844-f85069fc0f2f","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7bcf3bbc-2bb2-4a9e-850f-23cfc7c2a029","keyframes":{"transform":["translate3d(-361.85568%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Detailed Explanation Arrow

[{"selector":"#anim-2fe95155-f549-4b2f-8fd1-5fd06efe8193","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-cd885d41-5b5a-4648-835c-b162a339f443","keyframes":{"transform":["translate3d(-115.60509%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] The theorem of similarity says that the three sides of one triangle must be proportional to the corresponding sides in the other triangle.

[{"selector":"#anim-7fa88f81-7591-4d89-9a91-cc0f3c2619ca","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-1363274f-f882-4996-b8a6-658d2b3febef","keyframes":{"transform":["translate3d(-115.14196%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e3b19176-da86-4994-bebf-a902581638c2","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-08bcf568-f5e6-4a39-ad51-434061676008","keyframes":{"transform":["translate3d(-153.00001%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c9c5565c-613e-44d3-b44f-5914942ca53c","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-60fb9061-85fb-4a77-be05-91cfd5d0a676","keyframes":{"transform":["translate3d(-355.81404%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-3175f7b1-8db2-4b05-8be0-1370b0f5ebd9","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-2ba9477e-c148-4653-8bd5-977831cb4fba","keyframes":{"transform":["translate3d(-355.81404%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8caad9c8-eec1-4163-898f-250cafb3b320","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9e55ba35-5d54-47ab-9225-ba8c3afdd824","keyframes":{"transform":["translate3d(-488.37221%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b06acbe8-57f5-4357-b9d4-d53f669197b3","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d28a2c7e-beaf-43b3-9c97-2f806a99876b","keyframes":{"transform":["translate3d(-495.349%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-5f444665-86ad-4a57-8e1b-793ffce0cf04","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0551a699-ecbd-49f3-b2a0-f85cf8091977","keyframes":{"transform":["translate3d(-441.86055%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c7c56345-8820-4c19-b455-590ba2a42abe","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9204ba12-3089-4d56-92a6-c16b9ab30ea5","keyframes":{"transform":["translate3d(-540.0001%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-928b66d4-4551-46f5-9a0c-f2ae90fa32d1","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-77d6054f-dc0f-4bef-b5ac-fb002e3a1f23","keyframes":{"transform":["translate3d(-772.00015%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] In the given triangles ABC and PQR, it is mentioned that. Let us visualise this AB QR BC PR =

And consider the next part

[{"selector":"#anim-95859f84-a032-41c5-84f3-e31eb57407f2","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9d5df201-e59f-4ee8-aa36-c3082ee861e3","keyframes":{"transform":["translate3d(-120.347%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-94f8b339-45e4-4540-8a96-ad54187161a0","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-f06cfa16-bda1-4c70-bcbd-1489ebb4c80f","keyframes":{"transform":["translate3d(-451.16294%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-eade81d2-8c12-4f75-99f9-4634b0f53164","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-1ed8de55-8381-4926-b0c3-05433fd5bc09","keyframes":{"transform":["translate3d(-451.16294%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b78414b6-3276-4521-aa23-134c094edb30","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d6596819-bf1e-4f73-b537-999d82c3b62a","keyframes":{"transform":["translate3d(-583.72111%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4a8879da-15b8-40dc-9dcd-18ae0282288b","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-922f908a-2419-4e52-9d46-7303873ddbc7","keyframes":{"transform":["translate3d(-590.6978%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-e17ef2e6-37a8-4964-b389-8aaf850c2dae","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-80245925-913f-4743-a82e-58b477a4de3e","keyframes":{"transform":["translate3d(-537.20946%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0f2bfab6-aefc-4416-a5e0-416450b1de5e","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-44b7bcef-1e5d-4562-8ab7-eb6d1d08d0f3","keyframes":{"transform":["translate3d(-704.00019%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8d8c05f7-80a4-42fb-b984-f32c6b77831f","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-8e4960ad-2e6e-4e8e-9d49-db8533f6397d","keyframes":{"transform":["translate3d(-936.00024%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] BC PR CA PQ =

[{"selector":"#anim-5733b7fa-6518-4511-9697-63c5bded7dfe","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-9a9c023c-3392-4c2f-9e6a-a7f7d438198c","keyframes":{"transform":["translate3d(-115.45741%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-7e9c1d11-0d8f-4c17-9603-f478b780d4c0","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-d56ab0e3-c315-49a1-9f57-0b41c01d4d43","keyframes":{"transform":["translate3d(-115.14196%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] It is noted that A corresponds to Q, B corresponds to R and C corresponds to P. Thus, the correct similarity is △ABC similar to △QRP.

6 Properties of Rational Number | CBSE Class 8 Maths Notes

[{"selector":"#anim-9cda37e2-4d25-4251-a470-ac4496dfa0e8","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-0c93f76b-f816-4fdc-95d6-f4c27f9705d5","keyframes":{"transform":["translate3d(-139.16668%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-bddf0ba1-42f8-4ee8-9e27-84fe1380e13e","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-c466331f-4882-485c-8ca5-70e72aaeec02","keyframes":{"transform":["translate3d(125.94596%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-998aa325-7707-4de5-b885-2d4f317bed20","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4f85e35c-6520-45a9-9eef-93a71c4121f6","keyframes":{"transform":["translate3d(-136.66667%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-fefcd3db-808a-4fe8-b9c5-b59175efb199","keyframes":{"opacity":[0,1]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] [{"selector":"#anim-b1aaf869-9370-4fb1-ac4b-f3fae605880a","keyframes":{"transform":["translate3d(111.53846%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1200,"easing":"cubic-bezier(0.2, 0.6, 0.0, 1)","fill":"both"}] Download Aakash App Now

?

In Triangles ABC & PQR, AB/QR=BC/PR=CA/PQ. The Correct Similarity is

A

B

C

D

Your options are

As per the side-side-side similarity, the correct answer is B. △ABC ∼ △QRP.

And consider the next part

6 Properties of Rational Number | CBSE Class 8 Maths Notes

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