Delta - XTQcong Delta-XSQ

Question

Toppr Admin · Accepted Answer

Given- XQ bisects -x2220-QXT-x22A5-PQ and XS-x22A5-QRIn -x25B3-XTQ and -x25B3-XSQ-x2220-XQT-x2220-XQS -XQ bisects -x2220-Q-x2220-XTQ-x2220-XSQ -each 90-x2218-XQ-XQ -Common-Hence- -x25B3-XTQ-x2245-x25B3-XSQ -ASA rule-

$Δ X T Q ≅ Δ X S Q$

Given: XQ bisects $∠ Q$
$X T ⊥ P Q$ and $X S ⊥ Q R$
In $△ X T Q$ and $△ X S Q$ ,
$∠ X Q T = ∠ X Q S$ (XQ bisects $∠ Q$ )
$∠ X T Q = ∠ X S Q$ (each $90^{\circ}$ )
$X Q = X Q$ (Common)
Hence, $△ X T Q ≅ △ X S Q$ (ASA rule)

ΔXTQ≅ΔXSQ

Given: XQ bisects ∠QXT⊥PQ and XS⊥QRIn △XTQ and △XSQ,∠XQT=∠XQS (XQ bisects ∠Q)∠XTQ=∠XSQ (each 90∘)XQ=XQ (Common)Hence, △XTQ≅△XSQ (ASA rule)

$Δ X T Q ≅ Δ X S Q$

Given: XQ bisects $∠ Q$
$X T ⊥ P Q$ and $X S ⊥ Q R$
In $△ X T Q$ and $△ X S Q$ ,
$∠ X Q T = ∠ X Q S$ (XQ bisects $∠ Q$ )
$∠ X T Q = ∠ X S Q$ (each $90^{\circ}$ )
$X Q = X Q$ (Common)
Hence, $△ X T Q ≅ △ X S Q$ (ASA rule)