Fill up the blanks — task. Mathematics CBSE, Class 9.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Answer variants:

opposite side

\(\angle AXB = \angle AYC\)

\(AC\)

corresponding pair of sides

\(\triangle ACY\) and \(\triangle ABX\)

triangle \(ABC\)

\(BX\) is perpendicular to \(AC\)

CPCT

common

Prove that the altitudes are \(BX\) and \(CY\) are equal if triangle \(ABC\) is isosceles with \(AB = AC\).

Proof:

It is given that \(BX\) and \(CY\) are altitudes of

An altitude is a perpendicular line segment drawn through the vertex of the triangle to the

Here, \(CY\) is an altitude of \(AB\), and \(BX\) is an altitude of

Hence, \(CY\) is perpendicular to \(AB\), and

To prove that the altitudes are equal, let us consider

Here, \(AB = AC\) [Given]

Also,

as the altitudes meet the sides at right angles.

Also, \(\angle A\) is

to both triangles \(ACY\) and \(ABX\).

Here, two corresponding pairs of angles and one

are equal.

Thus by congruence criterion, \(\triangle ACY \cong \triangle ABX\).

Since \(\triangle ACY \cong \triangle ABX\), and by

the altitudes \(CY\) and \(BX\) are equal.

Did you find an error?

7. Fill up the blanks