wiz-icon
MyQuestionIcon
MyQuestionIcon
12
You visited us 12 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, if AB//DC and AD // BC, then which of the following is true ?


A

ABCCBD by RHS postulate

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

ABCCDA by ASA postulate

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

If ABC=75, then CDA = 105

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

If ABC=75, then CDA = 75

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

The correct options are
B

ABCCDA by ASA postulate


D

If ABC=75, then CDA = 75


In ABC and CDA,

(i) BAC = DCA ....(alternate angles)

(ii) AC = AC .......(common)

(iii) BCA=DAC .....(alternate angles )

(iv) ABCCDA .....(ASA Postulate)

(v) ABC = CDA .......(cpct)

if ABC = 75, then CDA = 75

Hence (B), and (D)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon