Complete the following statements : (a) Two line segments are congruent if...... . (b) Among two congruent angles, one has a measure of \[\text{7}0{}^\circ \]; the measure of the other angle is ??. (c) When we write \[\angle A=\angle B,\] we actually mean ...... .
If \[\Delta DEF\cong \Delta BCA\], write the part(s) of \[\Delta BCA\] that correspond to (i) \[\angle E\] (ii) \[\overline{EF}\] (iii) \[\angle F\] (iv) \[\overline{DF}\]
You want to show that \[\Delta ART\cong \Delta PEN,\] (a) If you have to use SSS criterion, then you need to show (i) AR = (ii) RT = (iii) AT= (b) If it is given that \[\angle T=\angle N\] and you are to use SAS criterion, you need to have (i) RT = and (ii) PN = (c) If it is given that \[\text{AT}=\text{PN}\] and you are to use ASA criterion, you need to have (i) ? (ii) ?
In \[\Delta ABC,\angle A={{30}^{o}},\angle B={{40}^{o}}\] and \[\angle \text{C}=\text{11}{{0}^{\text{o}}}\] In \[\Delta PQR,\angle P={{30}^{o}},\angle Q={{40}^{o}}\] and \[\angle R={{110}^{\text{o}}}\] A student says that \[\Delta ABC\cong \Delta PQR\] 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?