AABC APQR. IF AB: PQ = 4:5, find A(AABC): A(APQR)
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Step-by-step explanation:
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.
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