Question

complete the congruence statement​

Answer 1

Iɴ Δ BAT ᴀɴᴅ Δ BAC, ɢɪᴠᴇɴ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ᴄᴏɴɢʀᴜᴇɴᴛ sᴏ ᴛʜᴇ ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴘᴀʀᴛs ᴀʀᴇ:

B ↔ B, A ↔ A, T ↔ C

Tʜᴜs, Δ BCA ≅ Δ BTA

[Bʏ SSS ᴄᴏɴɢʀᴜᴇɴᴄᴇ ʀᴜʟᴇ] IɴΔ QRS ᴀɴᴅ Δ TPQ, ɢɪᴠᴇɴ ᴛʀɪᴀɴɢʟᴇs ᴀʀᴇ ᴄᴏɴɢʀᴜᴇɴᴛ sᴏ ᴛʜᴇ ᴄᴏʀʀᴇsᴘᴏɴᴅɪɴɢ ᴘᴀʀᴛs ᴀʀᴇ: P ↔ R, T ↔ Q, Q ↔ S Tʜᴜs, Δ QRS ≅ Δ TPQ [Bʏ SSS ᴄᴏɴɢʀᴜᴇɴᴄᴇ ʀᴜʟᴇ]