Home
Class 7
MATHS
State the correspondence between the ver...

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
Q (i) `/_\ ABC = /_\ EFD`
(ii) `/_\ CAB = /_\ QRP`
(iii) (i) `/_\ XYZ = /_\ QPR`
(iv)(i) `/_\ MPN = /_\ SQR`

Text Solution

Verified by Experts

The correct Answer is:
(i) `A hArr E, B hArr C hArr D`;AB = EF, BC = FD, AC = ED; `/_A = /_E`, `/_B = /_F` and `/_C = /_D`
(ii)`C hArr Q, A hArr R,B hArr P`;CA = QR, AB = RP, BC = PQ: `/_C = /_Q`, `/_A = /_R` and `/_B = /_P`
(iii)`X harr Q,Z harr P,Y harr R`; XZ = QP, ZY = PR, XY = QR: `/_X = /_Q`, `/_Z = /_P` and `/_Y = /_R`
(iv)`M hArr S, P hArr Q R, N hArr R`; MP = SQ,PN = QR, MN = SR; `/_M = /_S`, `/_P = /_Q` and `/_N = /_R`
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE

    RS AGGARWAL|Exercise EXERCISE|18 Videos

  • COLLECTION AND ORGANISATION OF DATA (MEAN, MEDIAN AND MODE)

    RS AGGARWAL|Exercise EXERCISE 21C|5 Videos

  • CONSTRUCTIONS

    RS AGGARWAL|Exercise TEST PAPER (True/False)|4 Videos

Similar Questions

Explore conceptually related problems

Without drawing the triangles,state the correspondence between the sides and the angles of the following pairs of congruent triangles: ABC~=PQR(b)ABC~=QRP

Which of the following are not state functions? (i) q+ w (ii) q (iii) w (iv) H-TS

Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles. (i) Delta STU approx Delta DEF (ii) Delta ABC approx Delta LMN (iii) Delta YZX approx PQR (iv) Delta XYZ approx Delta MLN

Which of the following are meaningless? "I I I"CCC" (ii) KKKCCXI (iii) XD (iv) VC

Which of the following are compounds ? (i) Co (ii) NO(iii) NO(iv)CO

Identify the pairs of enantiomers and diastereomers from the following compounds I, II, and III :

Which of the following are not state functions? (I) q+w (II) q (III) w (IV) H-TS

Which of the following metals exist in their native state in nature ? (i) Cu (ii) Au (iii) Zn (iv) Ag

RS AGGARWAL-CONGRUENCE-EXERCISE
  1. State the correspondence between the vertices, sides and angles of the...

    Text Solution

    |

  2. Given below are pairs of congruent triangles. State the property of co...

    Text Solution

    |

  3. In Fig. (i), PL bot OA and PM bot OB such that PL = PM. IS /\ PLO = /\...

    Text Solution

    |

  4. In Fig. (ii), AD = BC and AD || BC. IS AB = DC? Give reasons in suppor...

    Text Solution

    |

  5. In the adjoining figure, AB = AC and BD = DC. Prove that /\ ADB = /\ A...

    Text Solution

    |

  6. In the adjoining figure, ABC is a triangle in which AD is the bisector...

    Text Solution

    |

  7. In the adjoining figure, AB = AD and CB = CD. Is /\ ABC ~= /\ ADC ?...

    Text Solution

    |

  8. In the given figure, PA bot AB, QB bot AB and PA = QB. Which of the...

    Text Solution

    |

  9. In the given figure, triangles ABC and DCB are right angled at A and D...

    Text Solution

    |

  10. In the adjoining figure, /\ ABC is an isosceles triangle in which AB =...

    Text Solution

    |

  11. In the adjoining figure, P and Q are two points on equal sides AB and ...

    Text Solution

    |

  12. In the given figure, /\ ABC is an isosceles triangle in which AB - AC....

    Text Solution

    |

  13. In the adjoining figure, ABC is an isosceles triangle in which AB = AC...

    Text Solution

    |

  14. If two triangles have their corresponding angles equal, are they alway...

    Text Solution

    |

  15. Are two triangles congruent if two sides and an angle of one triangle ...

    Text Solution

    |

  16. Draw /\ ABC and /\ PQR such that they are equal in area but not congru...

    Text Solution

    |

  17. Fill in the blanks: Q (i) Two line segments are congruent if they have...

    Text Solution

    |

  18. Which of the following statements are true and which of them are false...

    Text Solution

    |