- -
Solved Examples
Click on a 'View Solution' below for other questions:
eee 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.?
 eee
View Solution
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:
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. ?

   B
View Solution
B   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.?
   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   
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.   B
View Solution
B   Are the triangles congruent?
   B
View Solution