- -
Solved Examples
Click on a 'View Solution' below for other questions:
cc  Supply the reason to complete the proof below:
StatementsReasons
1. XQ¯ || TR¯1. Given
2. Q T2. Alternate Interior Angles Theorem
3. X R3. Alternate Interior Angles Theorem
4. XR¯ bisects QT¯4. Given
5. TM¯ QM¯5. Definition of segment bisector
6. ΔXMQ ΔRMT6.?
  cc
View Solution
cc  Supply the reason to complete the proof where T is the midpoint of PR¯.
  cc
View Solution
cc  Supply the reason to complete the proof below:
Given: N P, MO¯ QO¯
  cc
View Solution
cc  Which of the following is true?
  cc
View Solution
cc  Which postulate can be used to prove that ΔABD ΔACD if AD¯ bisects BAC and BC¯ ?
  cc
View Solution
cc  What additional information is needed to prove that ΔABC ΔCDA by the AAS Theorem?
  cc
View Solution
cc  What postulate is applied to prove that the diagonals of a parellelogram bisect each other?
  cc
View Solution
cc  Do we have enough information to prove that ΔABC ΔPQR?  cc View Solution
cc  Is MS¯ RS¯ ? Given that 1 3, 2 4, TS BS  cc View Solution
cc  What additional information is needed to prove that ΔPQS  ΔTQR by the ASA Postulate?  cc View Solution
cc  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?  cc View Solution
cc  To prove that ΔADC ΔAEC, what additional data is required?
I. ADC = ACE
II. ACD = ACE
III. AC bisects DAE
IV. AD BC
  cc
View Solution
cc  In the figure, l || m || n. If the two triangles are congruent, then which of the following is correct?  cc View Solution
cc  Supply the reason to complete the proof below:
Given: N P, MO¯ QO¯
  cc
View Solution
cc  Which of the following is true?
  cc
View Solution
cc  Is ΔABC ΔPQR?
  cc
View Solution
cc  Is ΔABC ΔPQR?  cc View Solution
cc  Which of the following can be used to prove that ΔABC ΔADC?
  cc
View Solution
cc  Is ΔABD ΔACD?  cc View Solution
cc  Which of the following can be applied directly to prove that ΔABC ΔDEC ?  cc View Solution
cc  Which of the following can be applied directly to prove that ΔADB ΔCBD?  cc View Solution
cc  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.  cc View Solution
cc  Is ΔABC ΔEDC?
  cc
View Solution
cc  Supply the reason to complete the proof below:
StatementsReasons
1. A @ X and B @ Y1. Given
2. C @ Z2. 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 @ ΔXYZ4. ?

  cc
View Solution
cc  Supply the reason to complete the proof below:
StatementsReasons
1. XQ¯ || TR¯1. Given
2. Q T2. Alternate Interior Angles Theorem
3. X R3. Alternate Interior Angles Theorem
4. XR¯ bisects QT¯4. Given
5. TM¯ QM¯5. Definition of segment bisector
6. ΔXMQ ΔRMT6.?
  cc
View Solution
cc  Is ΔABC ΔPQR?  cc View Solution
cc  Supply the reason to complete the proof where T is the midpoint of PR¯.
  cc
View Solution
cc  
StatementsReasons
1. ÐAEB @ ÐBDC1.Given
2. AE¯ @ BD¯2.Given
3. AE¯|| BD¯3.Given
4. ÐEAB @ ÐDBC4. Corresponding Angles Theorem
5. ΔAEB @ ΔBDC5.?
Supply the reason to complete the proof below:
Given: AE¯|| BD¯, AE¯ BD¯, E D.  cc
View Solution
cc  Are the triangles congruent?
  cc
View Solution