Q143 of 158 Page 159

In the following pairs of triangles of Fig. 6.47, the lengths of the sides are indicated along the sides. By applying SSS congruence criterion, determine which triangles are congruent. If congruent, write the results in symbolic form.





(a) AB = LN


BC = ML


AC = NM


Hence; both triangles are congruent by SSS criterion


∆ABC ≅ ∆NLM


(b) LM = GH


MN = HI


NL = IG


Hence; both triangles are congruent by SSS criterion


∆LMN ≅ ∆GHI


(c) LM = LO


MN = ON


LN = LN


Hence; both triangles are congruent by SSS criterion


∆LMN ≅ ∆LON


(d) WY = ZX


WX = ZY


XY = XY


Hence; both triangles are congruent by SSS criterion


∆XYW ≅ ∆YXZ


(e) AO = OD


BO = OE


AB = DE


Hence; both triangles are congruent by SSS criterion


∆AOB ≅ ∆DOE


(f) TU = UV


TS = VS


US = US


Hence; both triangles are congruent by SSS criterion


∆TUS ≅ ∆VUS


(g) SR = PQ


PS = QR


PR = PR


Hence; both triangles are congruent by SSS criterion


∆PQR ≅ ∆RSP


(h) SU = PR


ST = PQ


TU≠RQ


Hence triangle are not congruent


More from this chapter

All 158 →
141

The lengths of two sides of an isosceles triangle are 9 cm and 20 cm. What is the perimeter of the triangle? Give reason.

 142

Without drawing the triangles write all six pairs of equal measures in each of the following pairs of congruent triangles.

(a) ∆STU ≅ ∆DEF


(b) ∆ABC ≅ ∆LMN


(c) ∆YZX ≅ ∆PQR


(d) ∆XYZ ≅ ∆MLN

 144

ABC is an isosceles triangle with AB = AC and D is the mid-point of base BC (Fig. 6.48).

A. State three pairs of equal parts in the triangles ABD and ACD.


B. Is ∆ABD ≅ ∆ACD. If so why?


 145

In Fig. 6.49, it is given that LM = ON and NL = MO

A. State the three pairs of equal parts in the triangles NOM and MLN.


B. Is ∆NOM ≅ ∆MLN. Give reason?