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Show that the bisector of vertical angle of an isosceles triangle bisects the base at right angles.

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The vertical angle of an isosceles triangle is 100^0dot Find its base angles.

If the bisector of the vertical angle of a triangle bisects the base of the triangle. then the triangle is isosceles. GIVEN : triangle A B C in which A D is the bisector of angle A meeting B C in D such that B D=DC TO PROVE : triangleA B C is an isosceles triangle.

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5 . Find each angle of the triangle.

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

The vertical angle of an isosceles triangle is twice the sum if its base angles. Find each angle of the triangle.

If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

RD SHARMA ENGLISH-CONGRUENCE-All Questions
  1. Which of the following pairs of triangles are congruent? A B C : ...

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  2. Show that in an isosceles triangle, angles opposite to equal sides ...

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  3. Show that the bisector of vertical angle of an isosceles triangle b...

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  4. In A B C ,\ /A=100^0\ a n d\ A B=A Cdot Find /B\ a n d\ /Cdot

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  5. In Fig.26, A B=A C\ a n d\ /A C D=120^0dot Find /Adot

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  6. Prove that measure of each of an equilateral triangle is 60^0

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  7. Line-segments A B\ a n d\ C D bisect each other at Odot\ A C\ a n d\ B...

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  8. Delta\ A B C is isosceles with A B=A Cdot Line segment A D bisects/A a...

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  9. In Fig.31, A B=A D\ a n d\ /B A C=/D A C State in symbolic form the ...

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  10. In figure, A B|| D C\ a n d\ A B=D Cdot (i)IsDeltaA C D~=DeltaC A B ?...

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  11. Fig.33, the measure of some parts are indicated along side. By apply...

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  12. Which of the following pairs of triangle are congruent? A B C : A B...

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  13. Which of the following pairs of triangle are congruent by ASA condi...

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  14. In Fig.37, A D bisects /A and A D|\ B Cdot IsDeltaA D B~=DeltaA D C ?...

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  15. Draw any triangle A B C. Use A S A\ condition to construct another ...

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  16. InDeltaA B C , it is known that/B=/Cdot Imagine you have another co...

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  17. In Fig.38, A X bisects/B A C as well as/B D Cdot State the three facts...

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  18. In Fig.39, A O=O B and/A=/B. (i) IsDeltaA O C~=DeltaB O D ? (ii) Sta...

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  19. In each of the following pairs of right triangles, the measure of s...

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  20. In Fig.42, P L|O B and P M|O A such that P L=P M . Is DeltaP M O ? Giv...

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