2467
You visited us
2467
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Parallelogram
ABCD is a par...
Question
A
B
C
D
is a parallelogram
A
P
and
C
Q
are perpendicular drawn from vertices
A
and
C
on diagonal
B
D
(see figure) show that
A
P
=
C
Q
Open in App
Solution
Given ABCD is a parallelogram AP and CQ are perpendicular drawn from verities A and C on BD
Then area of triangle
B
D
C
=
1
2
×
B
D
×
C
Q
And
area of triangle
A
B
D
=
1
2
×
B
D
×
A
P
We know that diagonal BD divided
ABCD is a parallelogram in two equal area
1
2
×
B
D
×
C
Q
=
1
2
×
B
D
×
A
P
⇒
C
Q
=
A
P
Suggest Corrections
1
Similar questions
Q.
A
B
C
D
is a parallelogram and
A
P
and
C
Q
are perpendiculars from vertices
A
and
C
on diagonal.
B
D
(
see Fig.
)
.
Show that
A
P
=
C
Q
.
Q.
A
B
C
D
is a parallelogram and
A
P
and
C
Q
are perpendiculars from vertices
A
and
C
on diagonal
B
D
.Show that
A
P
=
C
Q
Q.
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that
AP = CQ
Q.
A
B
C
D
is a parallelogram.
A
P
and
C
Q
are perpendicular lines drawn from vertices
A
and
C
respectively on diagonal
B
D
(see figure). Show that
△
A
P
B
≅
△
C
Q
D
Q.
Question 10 (ii)
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that
AP = CQ
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Parallelograms
MATHEMATICS
Watch in App
Explore more
Parallelogram
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app