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Complete the following statements:
(a) Two line segments are congruent if __________.
(b) Among two congruent angles, one has a measure of 70°; the measure of the other angle is __________.
(c) When we write ∠A = ∠ B, we actually mean __________.
They have the same length
,70°
,m ∠A = m ∠B
You have to show that ΔAMP ≅ AMQ.
In the following proof, supply the missing reasons.
|
– |
Steps |
– |
Reasons |
|
(i) |
PM = QM |
(i) |
… |
|
(ii) |
∠PMA = ∠QMA |
(ii) |
… |
|
(iii) |
AM = AM |
(iii) |
… |
|
(iv) |
ΔAMP ≅ ΔAMQ |
(iv) |
… |
In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°
In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°
A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?
In a squared sheet, draw two triangles of equal areas such that
(i) The triangles are congruent.
(ii) The triangles are not congruent.
What can you say about their perimeters?
Explain, why
ΔABC ≅ ΔFED
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