Secondary School (English Medium) (5 to 8) Class 7 - CBSE Question Bank Solutions for Mathematics

You want to show that ΔART ≅ ΔPEN,

If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have

1) RT = and

2) PN =

You want to show that ΔART ≅ ΔPEN,

If it is given that AT = PN and you are to use ASA criterion, you need to have

1) ?

2) ?

You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?

In the figure, the two triangles are congruent.

The corresponding parts are marked. We can write ΔRAT ≅ ?

If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

Explain, why ΔABC ≅ ΔFED.

Simplify combining like terms: 21b − 32 + 7b − 20b

Simplify combining like terms: - z² + 13z² − 5z + 7z³ − 15z

Simplify combining like terms: p − (p − q) − q − (q − p)

Simplify combining like terms: 3a - 2b - ab - (a - b + ab) + 3ab + b - a

Simplify combining like terms: 5x²y − 5x² + 3y x² − 3y² + x² − y² + 8xy² −3y²

Simplify combining like terms: (3y² + 5y - 4) - (8y - y² - 4)

Add: 3mn, − 5mn, 8mn, −4mn

Add: t - 8tz, 3tz - z, z - t

Add: -7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3

Add: a + b - 3, b - a + 3, a - b + 3

Add: 14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy, 4xy

Add: 5m - 7n, 3n - 4m + 2, 2m - 3mn - 5

Add: 4x²y, - 3xy², - 5xy², 5x²y