Four mark exercise problems VIII — task. Mathematics State Board, Class 8.

PUMPA - SMART LEARNING

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

Book Free Demo

In the given figure,

$UB \parallel AT$ and

$CU \equiv CB$ . Prove that

$\triangle CUB \sim \triangle CAT$ and hence

$\triangle CAT$ is isosceles.

Proof:

	Statements	Reasons
1	$\angle CUB = \angle CBU$
2	$\angle CUB = \angle CAT$
3	$\angle CBU = \angle CTA$
4	$\angle UCB = \angle ACT$
5	$\triangle CUB \sim \triangle CAT$
6	$CA = CT$
7	$\triangle CAT$ is an isosceles triangle

Answer variants:

By AAA Similarity criteria(1,2,4)

Common angle

Since

$\angle CUB = \angle CBU$ and

$\angle CAT = \angle CTA$

Given that

$UB \parallel AT$ , corresponding angles are equal if

$CA$ is transversal.

By AAA Similarity criteria(1,2,3)

Given that in

$\triangle CUB$ ,

$CU = CB$ .

Given that

$UB \parallel AT$ , corresponding angles are equal if

$CT$ is transversal.

By AAA Similarity criteria(2,3,4)

Opposite sides of equal angle are equal.

Did you find an error?

24. Four mark exercise problems VIII