Question

Answer the Questions with explanation ​

Answer 1

★ Answer ★

10. In ∆ABD and ∆ACD,

• AB = AC [Given 3.5 cm]

• BD = CD [Given 2.5 cm]

• AD = AD [Common side]

∴ ∆ABD ≅ ∆ACD by SSS Congruence Rule. So, Option (a) SSS

-------------------------------------------------------------

11. In ∆PSR and ∆PRQ,

• SR = QP [Given 3.5 cm]

• ∠PRS = ∠RPQ [Given 30°]

• PR = PR [Common side]

∴ ∆PSR ≅ ∆PRQ by SAS Congruence Rule. So, Option (c) SAS

-------------------------------------------------------------

12. In ∆ABD and ∆ABC,

• ∠A = ∠B [Given 45° + 30° = 75°]

• AB = AB [Common side]

• ∠ABD = ∠BAC [Given 30°]

∴ ∆ABD ≅ ∆ABC by ASA Congruence Rule. So, Option (b) ASA

-------------------------------------------------------------

13. In ∆PQS and ∆PRS,

• PQ = PR [Given Hypotenuse 3 cm]

• ∠PSQ = ∠PSR [Given 90°]

• PS = PS [Common perpendicular]

∴ ∆PQS ≅ ∆PRS by RHS Congruence Rule. So, Option (d) RHS

-------------------------------------------------------------

Regards,

CreativeAB

• The Genius •