Answer:
Haha naawa na ako sayo, ito o nageffort nalang rin ako To prove that triangle ATK is congruent to triangle TKH, we can use the Angle-Side-Angle (ASA) congruence criterion.
Given:
AT ≅ HK (Side-Side congruence)
∠ATK ≅ ∠TKH (Angle-Angle congruence)
To prove:
△ATK ≅ △TKH
Proof:
1. Draw segments AK and TK to form quadrilateral AKTH.
2. Since AT ≅ HK, we can say that segment AK ≅ TK (by transitive property of congruence).
3. ∠ATK ≅ ∠TKH (given).
4. ∠AKT ≅ ∠HTK (vertical angles are congruent).
5. Based on the ASA congruence criterion, we have two pairs of corresponding congruent angles and one pair of congruent sides.
6. Therefore, △ATK ≅ △TKH by the ASA congruence criterion.
By proving that △ATK is congruent to △TKH, we have established their congruence using the given information.
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Answers & Comments
Answer:
Haha naawa na ako sayo, ito o nageffort nalang rin ako
To prove that triangle ATK is congruent to triangle TKH, we can use the Angle-Side-Angle (ASA) congruence criterion.
Given:
AT ≅ HK (Side-Side congruence)
∠ATK ≅ ∠TKH (Angle-Angle congruence)
To prove:
△ATK ≅ △TKH
Proof:
1. Draw segments AK and TK to form quadrilateral AKTH.
2. Since AT ≅ HK, we can say that segment AK ≅ TK (by transitive property of congruence).
3. ∠ATK ≅ ∠TKH (given).
4. ∠AKT ≅ ∠HTK (vertical angles are congruent).
5. Based on the ASA congruence criterion, we have two pairs of corresponding congruent angles and one pair of congruent sides.
6. Therefore, △ATK ≅ △TKH by the ASA congruence criterion.
By proving that △ATK is congruent to △TKH, we have established their congruence using the given information.