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Solved Examples
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eee 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.?
eee
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 eee Supply the reason to complete the proof where T is the midpoint of PR¯. eee View Solution
 eee Supply the reason to complete the proof below: Given: ∠N ≅ ∠P, MO¯ ≅ QO¯ eee View Solution
 eee Which of the following is true? eee View Solution
 eee Which postulate can be used to prove that ΔABD ≅ ΔACD if AD¯ bisects ∠BAC and BC¯ ? eee View Solution
 eee What additional information is needed to prove that ΔABC ≅ ΔCDA by the AAS Theorem?   B View Solution
 B   What postulate is applied to prove that the diagonals of a parellelogram bisect each other?   B View Solution
 B   Do we have enough information to prove that ΔABC ≅ ΔPQR?   B View Solution
 B   Is MS¯ ≅ RS¯ ? Given that ∠1 ≅ ∠3, ∠2 ≅∠4, TS ≅ BS   B View Solution
 B   What additional information is needed to prove that ΔPQS ≅ ΔTQR by the ASA Postulate?   B View Solution
 B   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?   B View Solution
 B   To prove that ΔADC ≅ ΔAEC, what additional data is required?I. ∠ADC = ∠ACE II. ∠ACD = ∠ACE III. AC bisects ∠DAE IV. AD ⊥ BC   B View Solution
 B   In the figure, l || m || n. If the two triangles are congruent, then which of the following is correct?   B View Solution
 B   Supply the reason to complete the proof below: Given: ∠N ≅ ∠P, MO¯ ≅ QO¯   B View Solution
 B   Which of the following is true?   B View Solution
 B   Is ΔABC ≅ ΔPQR?   B View Solution
 B   Is ΔABC ≅ ΔPQR?   B View Solution
 B   Which of the following can be used to prove that ΔABC ≅ ΔADC?   B View Solution
 B   Is ΔABD ≅ ΔACD?   B View Solution
 B   Which of the following can be applied directly to prove that ΔABC ≅ ΔDEC ?   B View Solution
 B   Which of the following can be applied directly to prove that ΔADB ≅ ΔCBD?   B View Solution
 B   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.   B View Solution
 B   Is ΔABC ≅ ΔEDC?   B View Solution
B   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. ?

B
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B   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.?
B
View Solution
 B   Is ΔABC ≅ ΔPQR?   B View Solution
 B   Supply the reason to complete the proof where T is the midpoint of PR¯.   B View Solution
B
 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.   B
View Solution
 B   Are the triangles congruent?   B View Solution