Math, asked by Anonymous, 8 months ago

☑️Is there Anyone Genius to answer both the Parts of this question????☑️


Answer it Correctly!​

Attachments:

Answers

Answered by jbana
2

Step-by-step explanation:

see attachment

If it helps u plzz mark as brainliest

Attachments:
Answered by Anonymous
21

┏─━─━─━─━∞◆∞━─━─━─━─┓ ✭✮ӇЄƦЄ ƖƧ ƳƠƲƦ ƛƝƧƜЄƦ✮✭

┗─━─━─━─━∞◆∞━─━─━─━─┛

Given :

  • AB = PQ

  • BC = QR

  • Median AM = Median PN

To Prove :

  1. △ABM ≅ △PQN
  2. △ABC ≅ △PQR

Solution :

1△ABM ≅△PQN

In △ABM and △PQN

AB = PQ [ given ]

AM = PN [ given ]

BC = QR

half BC = half QR

BM = QN

Therefore, △ABM ≅△PQN [by SSS congruence]

∠ABM = ∠PQN [ by CPCT ]

2△ABC ≅ △PQR

In △ABC and △PQR

AB = PQ [ given ]

BC = QR [ given ]

∠ABM = ∠PQN [ proved above ]

Therefore, △ABC ≅ △PQR [ by SAS congruence ]

Additionally :

Congruence rule:-

  • SSS - If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

  • SAS - If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

  • ASA - If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

  • AAS - If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

  • RHS - If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

Similar questions