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Byju's Answer

Standard IX

Mathematics

SSS Rule

In case of tw...

Question

In case of two equilateral triangles, PQR and STU which of the following correspondence is not correct

PQR ↔ STU

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PQR ↔ SUT

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PQR ↔ UST

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PQR ↔ TTS

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Solution

The correct option is D
PQR ↔ TTS

The order of the letters in the names of the two triangles indicates the correspondence between the vertices of two triangles. Hence, PQR ↔ TTS is not possible.

Suggest Corrections

Similar questions

Q. Select the appropriate alternative.
(1) In ∆ABC and ∆PQR, in a one to one correspondence

\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}

then

(A) ∆PQR ~ ∆ABC
(B) ∆PQR ~ ∆CAB
(C) ∆CBA ~ ∆PQR
(D) ∆BCA ~ ∆PQR

(2) If in ∆DEF and ∆PQR, ∠D ≅ ∠Q, ∠R ≅ ∠E then which of the following statements is false?

(A)

\frac{EF}{PR} = \frac{DF}{PQ}

(B)

\frac{DE}{PQ} = \frac{EF}{RP}

(C)

\frac{DE}{QR} = \frac{DF}{PQ}

(D)

\frac{EF}{RP} = \frac{DE}{QR}

(3) In ∆ABC and ∆DEF ∠B = ∠E, ∠F = ∠C and AB = 3DE then which of the statements regarding the two triangles is true ?
(A)The triangles are not congruent and not similar
(B) The triangles are similar but not congruent.
(C) The triangles are congruent and similar.
(D) None of the statements above is true.

(4) ∆ABC and ∆DEF are equilateral triangles, A (∆ABC) : A (∆DEF) = 1 : 2
If AB = 4 then what is length of DE?
(A)

2 \sqrt{2}

(B) 4
(C) 8
(D)

4 \sqrt{2}

(5) In the given figure, seg XY || seg BC, then which of the following statements is true?

(A)

\frac{AB}{AC} = \frac{AX}{AY}

(B)

\frac{AX}{XB} = \frac{AY}{AC}

(C)

\frac{AX}{YC} = \frac{AY}{XB}

(D)

\frac{AB}{YC} = \frac{AC}{XB}

Q. If

△ P Q R

and

△ S T U

are similar, find value of

x .

Q. Construct a ∆PQR in which QR = 6 cm, PQ = 5 cm and ∠PQR = 60°. Now , construct a triangle similar to ∆PQR such that each of its sides is

\frac{3}{5}

the corresponding sides of ∆PQR.

The triangle PQR is reduced to form triangle STU. Calculate the scale factor.

Suppose that we have two triangles ∆ ABC and∆PQR with their corresponding sides are AB and PQ, BC and QR, AC and PR. After we proved triangle ABC congruent to triangle PQR by SSS test then is it compulsory to write triangle ABC congruent to triangle PQR in a particular way that is their names must be in correspondence with each other.

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In case of two equilateral triangles, PQR and STU which of the following correspondence is not correct

The correct option is D PQR ↔ TTSThe order of the letters in the names of the two triangles indicates the correspondence between the vertices of two triangles. Hence, PQR ↔ TTS is not possible.

The correct option is D
PQR ↔ TTS

The order of the letters in the names of the two triangles indicates the correspondence between the vertices of two triangles. Hence, PQR ↔ TTS is not possible.