ABCD is a rectangle in which diagonal AC bisects - A as well as - C- Which of the following statements istrue-i ABCD is a squareii diagonal BD bisects - B as well as - D

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Standard VII

Mathematics

Constructing Angle Bisector

ABCD is a rec...

Question

$A B C D$ is a rectangle in which diagonal $A C$ bisects $∠ A$ as well as $∠ C$ . Which of the following statements is\are true?
(i) $A B C D$ is a square
(ii) diagonal $B D$ bisects $∠ B$ as well as $∠ D$

(i) only

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(ii) only

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(i) and (ii) both

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None of these

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Solution

The correct option is C (i) and (ii) both

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Similar questions

A B C D

is a rectangle in which diagonal AC bisects

∠ A

as well as

∠ C

Show that,
(i)

A B C D

is square
(ii) diagonal

B D

bisects

∠ B

as well as

∠ D

$A B C D$ is a rectangle in which diagonal $A C$ bisects $∠ A$ as well as $∠ C$ . Show that:
(i) $A B C D$ is a square

(ii) Diagonal $B D$ bisects $∠ B$ as well as $∠ D$ .

ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that:

(i) ABCD is a square (ii) diagonal BD bisects ∠B as well as ∠D.

A B C D

is a rectangle in which diagonal

A C

bisects

∠ A

as well as

∠ C

. Show that:
diagonal

B D

bisects

a n g l e B

as well as

∠ D

Three statements are given below:

I. In a rectangle ABCD, the diagonal AC bisects $∠ A$ as well as $∠ C$ .

II. In a square ABCD, the diagonal AC bisects $∠ A$ as well as $∠ C$ .

III. In a rhombus ABCD, the diagonal AC bisects $∠ A$ as well as $∠ C$ .

Which is true?

(a) I only

(b) II and III

(d) I and II

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ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Which of the following statements is\are true?(i) ABCD is a square(ii) diagonal BD bisects ∠B as well as ∠D

The correct option is C (i) and (ii) both

$A B C D$ is a rectangle in which diagonal $A C$ bisects $∠ A$ as well as $∠ C$ . Which of the following statements is\are true?
(i) $A B C D$ is a square
(ii) diagonal $B D$ bisects $∠ B$ as well as $∠ D$