The HL Congruence Theorem Quick Check 3 of 53 of 5 Items Question Use the image to answer the question. Ignacio wants to prove that ΔABC≅ΔDCB . He says that he knows AC¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ because diagonals in rectangles are congruent. What rule can he use to prove that BC¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ ? (1 point) Responses the HL Theorem the HL Theorem the Reflexive Property the Reflexive Property the Pythagorean Theorem the Pythagorean Theorem the Distributive Property the Distributive Property Skip to navigation page 16 of 16 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

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To prove that $B C ≅ B C$ , Ignacio can use the Reflexive Property. The Reflexive Property states that a quantity is equal to itself, which is useful in congruence proofs. In this case, since both triangles share the side $B C$ , he can conclude that $B C ≅ B C$ .

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The HL Congruence Theorem Quick Check 3 of 53 of 5 Items Question Use the image to answer the question. Ignacio wants to prove that ΔABC≅ΔDCB . He says that he knows AC¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ because diagonals in rectangles are congruent. What rule can he use to prove that BC¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ ? (1 point) Responses the HL Theorem the HL Theorem the Reflexive Property the Reflexive Property the Pythagorean Theorem the Pythagorean Theorem the Distributive Property the Distributive Property Skip to navigation page 16 of 16 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

1 answer

To prove that $B C ≅ B C$ , Ignacio can use the Reflexive Property. The Reflexive Property states that a quantity is equal to itself, which is useful in congruence proofs. In this case, since both triangles share the side $B C$ , he can conclude that $B C ≅ B C$ .

GPT-4o mini · Answer

To prove that $ BC \cong BC $, Ignacio can use the **Reflexive Property**. The Reflexive Property states that a quantity is equal to itself, which is useful in congruence proofs. In this case, since both triangles share the side $ BC $, he can conclude that $ BC \cong BC $.