Match the following *
4 points
Column-
Column-11
(P) In AABC and APQR (1) AA similarity
AB AC
criterion
ZA = ZP
PQ
PR
= AABC APQR
(Q) In AABC and APQR (2) SAS similarity
ZA = ZP, ZB = ZQ criterion
5AABC = APQR
(R) In AABC and APQR (3) SSS similarity
AB AC BC
criterion
PQ PR QR
= AABC - APQR
(S) In AABC, DE || BC
(4) BPT
AD AE
BD CE
11
(1)
(2)
(3)
(4
)
Answers
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10th
Maths
Triangles
Basic Proportionality Theorem (Thales Theorem)
Match the column.1. In Δ A...
MATHS
Match the column.
1. In ΔABC and ΔPQR,
PQ
AB
=
PR
AC
,∠A=∠P
(a) AA similarity criterion
2. In ΔABC and ΔPQR,
∠A=∠P,∠B=∠Q
(b) SAS similarity criterion
3. In ΔABC and ΔPQR,
PQ
AB
=
PR
AC
=
QR
BC
∠A=∠P
(c) SSS similarity criterion
4. In ΔACB,DE∣∣BC
⇒
BD
AD
=
CE
AE
(d) BPT
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ANSWER
In △ABC and △PQR
Option A:
If ∠A=∠P ....Given
And,
PQ
AB
=
PR
AC
...Given
△ABC∼△PQR ...SAS test of similarity
Option B:
If ∠A=∠P ....Given
And ∠B=∠Q ....Given
△ABC∼△PQR ...AA test of similarity
Option C:
If ∠A=∠P ....Given
And
PQ
AB
=
PR
AC
=
QR
BC
....Given
△ABC∼△PQR ...SS S test of similarity
Option D:
In △ACB,DE∥BC
BD
AD
=
CE
AE
....Given
This is known as basic proportionality theorem.