Triangle

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Triangles

Question 11 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Consider the following statements :

I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.

II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.

Of these statements :

A
I is false and II is true
B
I is true and II is false
C
I and II both are true
D
None of these
Question 11 Explanation: 
Statement II is false, as in case of equilateral triangles of different sides of the triangle are similar.
Question 12 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
AB and CD bisect each other at O. If AD = 6 cm. Then BC is :
triangles mcq question3
 
A
7 cm
B
5.9 cm
C
6 cm
D
4.8 cm
Question 12 Explanation: 
Since, AB and CD bisects each other at O,

Hence, BC = AD = 6 cm.

Question 13 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In the following figure which of the following statements is true?
triangles mcq question
 
A
AC = CD
B
AD $<$ Cd
C
BC + CD
D
AB = BD
Question 13 Explanation: 
In Triangle ABD,

∠BAD + ∠B +900 = 1800

or, ∠BAD + ∠ B = 900 ------- (1)

Now, in Triangle ABC,

∠ACB + ∠B + ∠A = 1800

∠ACB + ∠B = 1800 - 900

∠ACB = 900 - ∠B -----(2)

From (1) and (2), ∠BAD = ∠ACB

So, AC = CD.

Question 14 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Two right angled triangles are congruent if :

I.The hypotenuse of one triangle is equal to the hypotenuse of the other.

II.a side for one triangle is equal to the corresponding side of the other.

III.Sides of the triangles are equal.

IV. An angle of the triangle are equal.

Of these statements, the correct ones are combination of:

A
II and III
B
I and III
C
I and II
D
IV only
Question 14 Explanation: 
Two right angled triangle are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and a side of one triangle is equal to the corresponding side of the other triangle.
Question 15 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If ABC and PQR are similar triangles in which ∠ A = 470 and ∠ Q = 830, then ∠ C is:
triangles mcq solution1
 
A
600
B
500
C
800
D
700
Question 15 Explanation: 
Since, $\Delta$ ABC and $\Delta$ PQR are similar triangles.

then, ∠ B = ∠ Q = 830

Thus, in $\Delta$ ABC,

∠ C = 1800 - (∠ A + ∠ B)

or, ∠ C = 1800 - (470 + 830)

∠ C = 500.

There are 15 questions to complete.

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