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Two triangles are congruent if two sides...

Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle. GIVEN : Two triangles `A B C` and `D E F` such that `A B=D E ,A C=D F` and `/_A=/_D` PROVE : ` A B C~= D E F` Figure

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To prove that triangles ABC and DEF are congruent using the given information, we will apply the Side-Angle-Side (SAS) congruence criterion. ### Step-by-Step Solution: 1. **Identify Given Information**: - We have two triangles, ABC and DEF. - The sides are given as: - AB = DE ...
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Side Angle Side (SAS) Congruence - Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.

Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. GIVE : Two s A B C and D E F such that /_B=/_E ,/_C=/_F and B C=E F TO PROVE : A B C~=D E F

SAS CONGRUENCE CONDITION Two triangles are congruent if two sides and the included angle of the one are respectively equal to the two sides and the included angle of the other.

Angle-Side-Angle (ASA) Congruence-Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other.Prove that the triangles are congruent.

If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent. GIVEN : Two s A B C and D E F such that /_A=/_D ,/_B=/_E ,B C=E F TO TROVE : A B C~=D E F Figure

ASA CONGRUENCE CONDITION Two triangles are congruent if two angles and the included side of the one are respectively equal to the two angles and the included sides of the other.

Two triangles ABC and DEF such that /_A=/_D,/_B=/_E and /_C=/_F. Then

Consider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle, 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct ?

Angle Angle Side (AAS) Congruence-If any two angles and a non-included side of one triangle are equal to the corresponding angles and side of another triangle; the two ttriangles are congruent.

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, it is given that A E=A D and B D=C Edot Prove that A E B~=...

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  2. In Figure, it is given that A B=C F ,E F=B D and /A F E=/C B Ddot Prov...

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  3. Two triangles are congruent if two sides and the included angle of o...

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  4. In DeltaABC ,/A=100^0 and A B=A Cdot Find /B and /C

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  5. Angles opposite to two equal sides of a triangle are equal. GIVEN : ...

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  6. In Figure, X and Y are two points on equal sides A B and A C of a A B ...

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  7. Prove that the angle between internal bisector of one base angle an...

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  8. In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extend...

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  9. In Figure, the side B C of A B C is produced to form ray B D as shown....

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  10. In a triangle the greater angle has the longer side opposite to it.

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  11. If the bisectors of the base angles of a triangle enclose an angle ...

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  12. If two sides of a triangle are unequal, the longer side has greater ...

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  13. The bisectors of base angles of a triangle cannot enclose a right an...

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  14. ABCD is a square, X and Y are points on sides AD and BC res...

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  15. In figure, if P Q|P S ,P Q S R ,/S Q R=28^0 and /Q R T=65^0, then fin...

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  16. If perpendiculars from any point with an angle on its arms are cong...

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  17. In figure, if lines P Q and R S intersect at a point T such that P R T...

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  18. A B C is a triangle is which B E and C F are, respectively, the perpen...

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  19. Sides B C ,C A and BA of a triangle A B C are produced to D ,Q ,P resp...

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  20. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

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