http://www.ck12.org Chapter 4. Triangles and Congruence
Guided Practice
- If 4 ABC∼= 4 DEF, what else do you know?
- If 4 KBP∼= 4 MRS, what else do you know?
- If 4 EW N∼= 4 MAP, what else do you know?
Answers:
- From this congruence statement, we know three pairs of angles and three pairs of sides are congruent.^6 A∼=
(^6) D, (^6) B∼= (^6) E, (^6) C∼= (^6) F,AB∼=DE,BC∼=EF,AC∼=DF.
- From this congruence statement, we know three pairs of angles and three pairs of sides are congruent.^6 K∼=
(^6) M, (^6) B∼= (^6) R, (^6) P∼= (^6) S,KB∼=MR,BP∼=RS,KP∼=MS.
- From this congruence statement, we know three pairs of angles and three pairs of sides are congruent.^6 E∼=
(^6) M, (^6) W∼= (^6) A, (^6) N∼= (^6) P,EW∼=MA,W N∼=AP,EN∼=MP.
Practice
For questions 1-4, determine if the triangles are congruent using the definition of congruent triangles. If they are,
write the congruence statement.
Suppose the two triangles to the right are congruent. Write a congruence statement for these triangles.
Explain how we know that if the two triangles are congruent, then^6 B∼=^6 Z.
Suppose 4 T BS∼= 4 FAM.
- What angle is congruent to^6 B?
- What side is congruent toF M?
- What side is congruent toSB?
Suppose 4 INT∼= 4 W EB.
- What side is congruent toIT?
- What angle is congruent to^6 W?
- What angle is congruent to^6 I?
Suppose 4 ADG∼= 4 BCE.
- What side is congruent toCE?
- What side is congruent toDA?
- What angle is congruent to^6 G?