CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Congruence of Arcs

If arc(AC) an...

Question

If arc(AC) and arc(DE) are congruent and AC = 4 cm, then DE = _____.

A

2 cm

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

B

4 cm

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

C

6 cm

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

D

5 cm

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

Open in App

Solution

The correct option is B 4 cm
We know that the chords corresponding to congruent arcs of a circle ( or congruent circles) are congruent.
Given, arc(AC) and arc(DE) are congruent.
Chord corresponding to arc(AC) is AC and chord corresponding to arc(DE) is DE.
Since it is given that AC = 4 cm, we must have DE = 4 cm.

Suggest Corrections

thumbs-up

0

Similar questions

Q. In ∆ABC, D and E are points on side AB and AC respectively such that DE || BC and AD : DB = 3 : 1. If EA = 3.3 cm, then AC =

(a) 1.1 cm
(b) 4 cm
(c) 4.4 cm
(d) 5.5 cm

Q. In a ∆ABC, D and E are points on AB and AC respectively such that DE || BC. If AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm, find BD and CE.

Q. D and E are points on the sides AB and AC respectively of a

∆ A B C

. In each of the following cases, determine whether

D E ∥ B C

A D = 5.7 cm, D B = 9.5 cm, B D = 4.8 cm and E C = 8 cm .

A B = 11.7 cm, A C = 11.2 cm, B D = 6.5 cm and A E = 4.2 cm .

A B = 10.8 cm, A D = 6.3 cm, A C = 9.6 cm and E C = 4 cm .

A D = 7.2 cm, A E = 6.4 cm, A B = 12 cm and A C = 10 cm .

Q. If ∆ABC and ∆DEF are similar such that 2AB = DE and BC = 8 cm, then EF =

(a) 16 cm
(b) 12 cm
(c) 8 cm
(d) 4 cm

Q. In the given figure, DE and DF are two tangents drawn from an external point D to a circle with centre A. If DE = 5 cm. and DE ⊥ DF then the radius of the circle is [CBSE 2013]
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Congruence of Arcs

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Congruence of Arcs

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon