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ff Supply the reason to complete the proof below:Statements  Reasons  1. XQ¯  TR¯  1. Given  2. ∠Q ≅ ∠T  2. Alternate Interior Angles Theorem  3. ∠X ≅ ∠R  3. Alternate Interior Angles Theorem  4. XR¯ bisects QT¯  4. Given  5. TM¯ ≅ QM¯  5. Definition of segment bisector  6. ΔXMQ ≅ ΔRMT  6.?  ff

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ff Supply the reason to complete the proof where T is the midpoint of PR¯. ff

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ff Supply the reason to complete the proof below: Given: ∠N ≅ ∠P, MO¯ ≅ QO¯ ff

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ff Which postulate can be used to prove that ΔABD ≅ ΔACD if AD¯ bisects ∠BAC and BC¯ ? ff

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ff What additional information is needed to prove that ΔABC ≅ ΔCDA by the AAS Theorem? ff

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ff What postulate is applied to prove that the diagonals of a parellelogram bisect each other? ff

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ff Do we have enough information to prove that ΔABC ≅ ΔPQR? ff

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ff Is MS¯ ≅ RS¯ ? Given that ∠1 ≅ ∠3, ∠2 ≅∠4, TS ≅ BS ff

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ff What additional information is needed to prove that ΔPQS ≅ ΔTQR by the ASA Postulate? ff

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ff Isosceles triangles ABC and PQR are congruent. Angle bisectors of ∠ABC and ∠ACB meet at D. Angle bisectors of ∠PQR and ∠PRQ meet at M. With what postulate of congruency of triangles can you prove that BD = QM? ff

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ff To prove that ΔADC ≅ ΔAEC, what additional data is required? I. ∠ADC = ∠ACE II. ∠ACD = ∠ACE III. AC bisects ∠DAE IV. AD ⊥ BC ff

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ff In the figure, l  m  n. If the two triangles are congruent, then which of the following is correct? ff

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ff Supply the reason to complete the proof below: Given: ∠N ≅ ∠P, MO¯ ≅ QO¯ ff

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ff Which of the following can be used to prove that ΔABC ≅ ΔADC? ff

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ff Which of the following can be applied directly to prove that ΔABC ≅ ΔDEC ? ff

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ff Which of the following can be applied directly to prove that ΔADB ≅ ΔCBD? ff

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ff ABCD is a square, and F is the midpoint of line segment EB. Find the number of triangles that are congruent to ΔOAD with respect to ASA Theorem. ff

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ff Supply the reason to complete the proof below:Statements  Reasons  1. ∠A @ ∠X and ∠B @ ∠Y  1. Given  2. ∠C @ ∠Z  2. If two angles of one triangle are congruent to two angles of another triangle then the third angles are congruent.  3. BC¯ @ YZ¯  3. Given  4. ΔABC @ ΔXYZ  4. ? 
ff

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ff Supply the reason to complete the proof below:Statements  Reasons  1. XQ¯  TR¯  1. Given  2. ∠Q ≅ ∠T  2. Alternate Interior Angles Theorem  3. ∠X ≅ ∠R  3. Alternate Interior Angles Theorem  4. XR¯ bisects QT¯  4. Given  5. TM¯ ≅ QM¯  5. Definition of segment bisector  6. ΔXMQ ≅ ΔRMT  6.?  ff

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ff Supply the reason to complete the proof where T is the midpoint of PR¯. ff

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ff Statements  Reasons  1. ÐAEB @ ÐBDC  1.Given  2. AE¯ @ BD¯  2.Given  3. AE¯ BD¯  3.Given  4. ÐEAB @ ÐDBC  4. Corresponding Angles Theorem  5. ΔAEB @ ΔBDC  5.?  Supply the reason to complete the proof below: Given: AE¯ BD¯, AE¯ ≅ BD¯, ∠E ≅ ∠D. ff

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