Question

$\huge\tt\fcolorbox{green}{bl}{QUESTION}$

If PQR and DEF are congruent under the correspondence QPR DEF, then <P = _____.

[A] <D [B] <E [C] <F

$\Huge{\mathscr{\fcolorbox {lime}{orange}{\fcolorbox {yellow}{red}{\color {darkgreen}{Don't spam}}}}}$​

Answer 1

Answer:

(B) ∠E

Explanation:

According to the question,

∆ PQR ≅ ∆ DEF

by the correspondence QPR ⇌ DEF

This means that the corresponding parts of both the triangles are equal.

• ∠Q = ∠D
• ∠P = ∠E
• ∠R = ∠F
• QP = DE
• PR = EF
• QR = DF

So, from above,

∠P = ∠E

KNOW MORE:

★ 2 triangles are said to be congruent on the basis of their sides and angles. There are 5 types of congruencies:

1. SSS (Side - Side - Side)
2. SAS (Side - Angle - Side)
3. AAS (Angle - Angle - Side)
4. ASA (Angle - Side - Angle)
5. RHS (Right angle - Hypotenuse - Side)

Answer 2

Answer:

(B) ∠E

Explanation:

According to the question,

∆ PQR ≅ ∆ DEF

by the correspondence QPR ⇌ DEF

\begin{gathered}\\\end{gathered}

This means that the corresponding parts of both the triangles are equal.

∠Q = ∠D

∠P = ∠E

∠R = ∠F

QP = DE

PR = EF

QR = DF

So, from above,

∠P = ∠E

KNOW MORE:

★ 2 triangles are said to be congruent on the basis of their sides and angles. There are 5 types of congruencies:

SSS (Side - Side - Side)

SAS (Side - Angle - Side)

AAS (Angle - Angle - Side)

ASA (Angle - Side - Angle)

RHS (Right angle - Hypotenuse - Side)