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Congruence of triangles
Congruence of triangles
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1)
In two triangles, ΔABC and ΔPQR, ∠A = 30°, ∠B = 70°, ∠P = 70°, ∠Q = 80° and AB = RP, then
ΔABC ≌ ΔQRP
ΔABC ≌ ΔPQR
ΔABC ≌ ΔRPQ
ΔABC ≌ ΔRQP
2)
In two triangles ΔABC and ΔDEF, AB = DE, BC = EF and AC = DF, then
None of the above
ΔABC ≌ ΔFDE
ΔABC ≌ ΔEFD
ΔABC ≌ ΔDEF
3)
Given two right-angled triangles ΔABC and ΔQRP, such that ∠A = 20°, ∠Q = 20° and AC = QP. Write the correspondence if triangles are congruent.
ΔABC ≌ ΔQRP
ΔABC≌ ΔPQR
∠ABC ≌ ΔPRQ
∠ABC ≌ ΔRQP
4)
In a ΔPQR if ∠QPR = 80° and PQ = PR, then ∠R and ∠Q are..
70°, 80°
80°, 80°
50°, 50°
80°, 70°
5)
For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is:
ASA
SAS
None of the above
SSS
6)
What is the value of ∠PQB if PQ ⊥ PB and RS ⊥ AR and RS = PQ, AP = BR?
40°
80°
50°
100°
7)
Find the value of ∠ABD if AB = AC and DB = DC.
15°
45°
20°
30°
8)
If ΔABC is congruent to ΔDEF by SSS congruence rule, then:
∠B = ∠E
∠A = ∠D, ∠B = ∠E, ∠C = ∠F
∠C = ∠F
∠A = ∠D
9)
Which of the following relation is correct if the altitudes BD and CE are equal?
AB = AC
AB = ½ AC
AB < AC
AB > AC
10)
What is the relation between ∠1 and ∠2 if AD = CD?
∠1 = ½ ∠2
∠1 = ∠2
∠1 < ∠2
∠1 > ∠2