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CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Triangles

D is a point on $\bigtriangleup ABC$ such that AD = BC. Which is correct?

A) AB > AD B) AB < AD C) AB = AD D) None of these

State True/False: Angles opposite to equal sides of an isosceles triangle are equal.

A) True B) False

Fill in the blanks: Two sides of a triangle are of lengths 6 cm and 2 cm. The length of the third side of the triangle cannot be _______.

A) 4.3 cm B) 3.9 cm C) 5.1cm D) 6 cm

In the given figure according to which congruency criterion, the two triangles are congruent?

A) SAS B) ASA C) AAA D) SSS

Choose the correct option: If AB = QR, BC = PR and CA = PQ, then ________.

A) \Delta ABC \cong \Delta PQR B) \Delta CBA \cong \Delta PRQ C) \Delta BAC \cong \Delta RPQ D) \Delta PQR \cong \Delta BCA

State True/False: In triangles ABC and DEF, $\angle A = \angle D$ , $\angle B = \angle E$ and AB = EF. The two triangles are congruent.

A) True B) False

In the given figure, ABC is a triangle in which L is the mid-point of AB and N is a point on AC such that AN = 2CN. A line through L, parallel to BN meets AC at M. Which of the following is correct?

A) AM = 2CN B) ML = BN C) AM = CN D) AM = CN/2

In PQR, point T is the mid - point of median PS as shown in the given figure. Which of the following statement is true?

A) ar(PQT) = 1/2 ar (PQR) B) ar(PQT) = 1/4 ar (PQR) C) ar(PQT) = 1/3 ar (PQR) D) ar(PQT) = 2/3 ar (PQR)

In the given figure of XYZ, XA is a median and $AB\parallel XY$ .Which of the following statement is true?

A) XB = ZB B) XA = YB C) XB > ZB D) None of these

10.

Choose the correct option:

In the given figure AD and BC are equal perpendiculars to a line segment AB. Then _______.

A) AO > BO B) AO < BO C) AO = BO D) None of these

11.

In the given figure, D is a point on side BC of $\bigtriangleup ABC$ such that AD = AC. Which of the following is correct?

A) AB < AD B) AB > AD C) AB > AC D) AB = AD

12.

Which of the following is not a criterion for congruence of triangles?

A) SSS B) SAS C) ASA D) SSA

13.

If $\bigtriangleup ABC$ and $\bigtriangleup DBC$ are on the same base BC, AB = DC and AC = DB , then which of the following gives a congruence relationship?

A) â?? ABC â?? â?? DBC B) â?? ABC â?? â?? DCB C) â?? ABC â?? â?? DCB D) â?? CBA â?? â?? DBC

14.

In the given figure, ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Which of the following is correct?

A) â?? BEA â?? â?? CAF B) BEA â?? â?? CFA C) EBA â?? â?? CAF D) None of these

15.

In quadrilateral ACBD, AC = AD and AB bisects ∠ A. Choose the correct option from the following:

A) Î? BAC â?? Î? ABD B) Î? ABC â?? Î? ADB C) Î? ABC â?? Î? ABD D) None of these

16.

If $\bigtriangleup ABC$ ≅ $\bigtriangleup PQR$ and , AC = 10 cm, then PR = ?

A) 15 cm B) 10 cm C) 2 cm D) None of these

17.

State True/False: Angles opposite to equal sides of an isosceles triangle are equal.

A) TRUE B) FALSE

18.

If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent by which rule?

A) RHS B) SAS C) ASA D) SSS

19.

In the given, PB is the bisector of $\angle QPR$ and $\angle QAR$ . Which of the following is correct?

A) QA = QR B) QA = QP C) QA > QR D) RA = RP

20.

Choose the correct option: If AB = QR, BC = PR and CA = PQ, then ________.

A) â?? ABC â?? â?? PQR B) â?? CBA â?? â?? PRQ C) â?? BAC â?? â?? RPQ D) â?? PQR â?? â?? BCA

CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Triangles

Answers

Option A

Option B

Option D

Option B

Option C

Option B

Option A

10.

Option C

11.

Option B

12.

Option D

13.

Option B

14.

Option B

15.

Option C

16.

Option B

17.

Option A

18.

Option A

19.

Option A

20.

Option B

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