Class 10 Practice – Level 3 – Set 1 – Triangles

Total questions: 15

In the given figure E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD ⊥ BC and EF ⊥ AC, Then the △ABD ∼ △ ECF through which criterion?

Topic: Similar Triangles

AA criterion

ASA criterion

SAS criterion

AAA criterion

None

In the given figures, AB, AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Which of the following similarity criterion can be used to prove △ABC ∼ △PQR?

Topic: Similar Triangles

AA and SAS similarity

SSS and SAS similarity

ASA and SSS similarity

AAA and SSS similarity

None

D is a point on the side BC of a triangle ABC such that ∠ADC = ∠BAC. Then, $\displaystyle {\text{C}{{\text{A}}^{2}}}$ will be equal to:

Topic: Angle Bisector Theorem

CB.CD

CB.AD

AC.AD

AC.AB

None

Sides AB and BC and median AD of a △ABC are respectively proportional to sides PQ and PR and median PM of △PQR. Which of the following similarity criterion can be used to prove △ ABC ∼ △PQR?

Topic: Similar Triangles

ASA and SAS criterion

SSS and SAS criterion

SSS and ASA criterion

SSS and AA criterion

None

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. What is the height of the tower?

Topic: Similar Triangles

28 m

30 m

34 m

40 m

None

If AD and PM are medians of triangles ABC and PQR, respectively where △ ABC ∼ △PQR, Then $ \displaystyle \dfrac{{\text{AB}}}{{\text{PQ}}}$ will be equal to:

Topic: Similar Triangles

$ \displaystyle\dfrac{{\text{AD}}}{{\text{PM}}}$

$ \displaystyle\dfrac{{\text{BD}}}{{\text{QM}}}$

$ \displaystyle\dfrac{{\text{AC}}}{{\text{PR}}}$

All of the above

None

In the given figure, PS is the bisector of ∠ QPR of △PQR. Then, $ \displaystyle \dfrac{{\text{QS}}}{{\text{SR}}}$ will be equal to:

Topic: Angle Bisector Theorem

$ \displaystyle \dfrac{{\text{PQ}}}{{\text{PR}}}$

$ \displaystyle \dfrac{{\text{PR}}}{{\text{PQ}}}$

$ \displaystyle \dfrac{{\text{PQ}}}{{\text{QR}}}$

$ \displaystyle \dfrac{{\text{PS}}}{{\text{PR}}}$

None

In △ABC, DE ∥ BC, What should be the value of x?

Topic: Basic Proportionality Theorem

None

In the given figure, AB∥CD. If OA = 3x − 19, OB = x − 4, OC = x − 3 and OD = 4, What is the value of x?

Topic: Basic Proportionality Theorem

None

10.

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Can you say that two triangles will be similar?

Topic: Criteria for Similarity Triangles

Yes

Cannot be predicted

Incomplete information

None

11.

In a rhombus of side 10 cm, one of the diagonals is 12 cm long. What is the length of the second diagonal?

Topic: Rhombus Properties

15 cm

12 cm

10 cm

16 cm

None

12.

The lengths of the diagonals of rhombus are 16 cm and 12 cm. What is the length of the sides of the rhombus?

Topic: Rhombus Properties

9 cm

10 cm

8 cm

20 cm

None

13.

In △ABC and △DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are:

Topic: Criteria for Similarity Triangles

Congruent but not similar

Similar but not congruent

Neither congruent nor similar

Congruent as well as similar

None

14.

In the given figure, BD and CE intersect each other at the point P. Which of the following criterion can be used to show that △PBC ∼ △PDE ?

Topic: Criteria for Similarity Triangles

SAS criterion

SSS criterion

ASA criterion

RHS criterion

None

15.

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Can you say that two triangles will be similar?

Topic: Criteria for Similarity Triangles

Yes

Cannot be determined

Incomplete information

None

1 out of 15

Time's up

Class 10 Practice – Level 3 – Set 1 – Triangles

Welcome back