In the figure below- if the line segment ST is parallel to line segment QR such that PS - SQ - PT - TR- This provided data is not sufficient to prove that S T-Q R-P T-T RA- FalseB- True

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SAS Similarity

In the figure...

Question

In the figure below, if the line segment ST is parallel to line segment QR such that $\frac{P S}{S Q} = \frac{P T}{T R}$ . This provided data is not sufficient to prove that
$\frac{S T}{Q R} = \frac{P T}{T R}$

True

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False

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Solution

The correct option is B
False

The theorem of similarity states that the two triangles are similar if their corresponding angles are equal and their corresponding sides are in the same ratio. Therefore, the information provided in the question is sufficient to prove that the triangles are similar.

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Similar questions

In the figure given below, if the line segment $S T$ is parallel to line segment $Q R$ such that $\frac{P S}{S Q} = \frac{P T}{T R}$ . This provided data is not sufficient to prove that triangles $P Q R$ and $P S T$ are similar.

Q. In the figure

P S = 3, S Q = 6. Q R = 5, P T = x

and

T R = y

.Give any two pairs of value of

x

and

y

such that line

S T | | Q R

In the given figure, ST is parallel to QR. PS=3cm, PQ=8cm TR=10cm PT=?

Q. In a triangle PQR, ST is parallel to QR Show that RT(PQ + PS) = SQ (PR + PT)

Q. In the given figure seg PS is the median of ∆PQR and PT ⊥ QR. Prove that,

(1)

{PR}^{2} = {PS}^{2} + QR \times ST + {(\frac{QR}{2})}^{2}

(2)

{PQ}^{2} = {PS}^{2} - QR \times ST + {(\frac{QR}{2})}^{2}

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In the figure below, if the line segment ST is parallel to line segment QR such that PSSQ=PTTR. This provided data is not sufficient to prove that STQR=PTTR

The correct option is B False The theorem of similarity states that the two triangles are similar if their corresponding angles are equal and their corresponding sides are in the same ratio. Therefore, the information provided in the question is sufficient to prove that the triangles are similar.

In the figure below, if the line segment ST is parallel to line segment QR such that $\frac{P S}{S Q} = \frac{P T}{T R}$ . This provided data is not sufficient to prove that
$\frac{S T}{Q R} = \frac{P T}{T R}$

The correct option is B
False

The theorem of similarity states that the two triangles are similar if their corresponding angles are equal and their corresponding sides are in the same ratio. Therefore, the information provided in the question is sufficient to prove that the triangles are similar.