Given ABC - XZY- Which of the following is true-A- - A- ZB- - B- YC- A B-B C-X Y-Y ZD- None of these

You visited us 7 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Converse of BPT

Given ABC ∼ X...

Question

Given $△ A B C$ ~ $△ X Z Y$ . Which of the following is true?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
None of these

For the given similar triangles,
the corresponding angles are equal i.e. $∠ A$ = $∠ X, ∠ B$ = $∠ Z$ and ratio of corresponding sides is equal i.e. $\frac{A B}{B C}$ = $\frac{X Z}{Z Y}$ .
In the options the corresponding angles are not equal hence none of the options is correct.

Suggest Corrections

Similar questions

Which of the following is not a like term of $2 x^{2} y z$ ?

In the given figure $△ A B C$ is isosceles with AB = AC and is inscribed in a circle. If DAE is a tangent to the circle, then which of the following statement is true?

Q. O is any point in the interior of ∆ABC. Then, which of the following is true?
(a)

(O A + O B + O C) > (A B + B C + C A)

(b)

(O A + O B + O C) > \frac{1}{2} (A B + B C + C A)

(c)

(O A + O B + O C) < \frac{1}{2} (A B + B C + C A)

(d) None of these

In a right angled $△$ ABC, right angled at B, which of the following is true?

For a triangle ABC, which of the following is/are true?

Join BYJU'S Learning Program

Given △ABC ~ △XZY. Which of the following is true?

The correct option is D None of these For the given similar triangles, the corresponding angles are equal i.e. ∠A= ∠X,∠B=∠Z and ratio of corresponding sides is equal i.e. ABBC= XZZY. In the options the corresponding angles are not equal hence none of the options is correct.

Given $△ A B C$ ~ $△ X Z Y$ . Which of the following is true?