Fill in the blanks to make the statement true- If - PQR and - XYZ are congruent under the correspondence QPR - XYZ- then i - R - ii QR - iii - P- iv QP - v - Q- v RP -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Congruent Triangles

Fill in the b...

Question

Question 63

Fill in the blanks to make the statement true.

If $Δ P Q R$ and $Δ X Y Z$ are congruent under the correspondence $Q P R \leftrightarrow X Y Z$ , then
(i) $∠ R =$ _ (ii) QR = _
(iii) $∠ P =$ _ (iv) QP = _
(v) $∠ Q =$ _ (v) RP = _

Open in App

Solution

Given, $Δ Q P R ≅ Δ X Y Z$
i) $∠ R = ∠ Z$ ii) QR = XZ
iii) $∠ P = ∠ Y$ iv) QP = XY
iv) $∠ Q = ∠ X$ v) RP = ZY

Suggest Corrections

Similar questions

If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as

Q. statement patterns
(i)

[(p \to q) \land q] \to p

(ii)

(p \land q) \to\sim p

(iii)

(p \to q) \leftrightarrow (\sim p \lor q)

(iv)

(p \leftrightarrow r) \land (q \leftrightarrow p)

Q. If

Δ A B C and Δ P Q R

are congruent under the correspondence

A B C \leftrightarrow R P Q

, then the part of

Δ A B C

that correspond to

P Q

is:

Question 6
Angles Q and R of a $Δ$ PQR are $25^{\circ}$ and $65^{\circ}$ .
Write which of the following is true:
(i) $P Q^{2} + Q R^{2} = R P^{2}$
(ii) $P Q^{2} + R P^{2} = Q R^{2}$
(iii) $R P^{2} + Q R^{2} = P Q^{2}$

Q. Match the species in Column I with the shape in Column II.

\begin{matrix} Column I & Column II i . & O S F_{2} & p . & Tetrahedral i i . & O_{2} S F_{2} & q . & Linear i i i . & X e F_{4} & r . & Square planar i v . & C l O_{4}^{-} & s . & Trigonal pyramidal v . & I_{3}^{-} & t . & See - saw \end{matrix}

Join BYJU'S Learning Program

Question 63 Fill in the blanks to make the statement true. If ΔPQR and ΔXYZ are congruent under the correspondence QPR↔XYZ, then (i) ∠R= ___ (ii) QR = ___ (iii) ∠P= ___ (iv) QP = ___ (v) ∠Q= ___ (v) RP = ___

Given, ΔQPR≅ΔXYZ i) ∠R=∠Z ii) QR = XZ iii) ∠P=∠Y iv) QP = XY iv) ∠Q=∠X v) RP = ZY

Question 63

Fill in the blanks to make the statement true.

If $Δ P Q R$ and $Δ X Y Z$ are congruent under the correspondence $Q P R \leftrightarrow X Y Z$ , then
(i) $∠ R =$ _ (ii) QR = _
(iii) $∠ P =$ _ (iv) QP = _
(v) $∠ Q =$ _ (v) RP = _

Given, $Δ Q P R ≅ Δ X Y Z$
i) $∠ R = ∠ Z$ ii) QR = XZ
iii) $∠ P = ∠ Y$ iv) QP = XY
iv) $∠ Q = ∠ X$ v) RP = ZY