3. In the figure ABCD given below, BD bisects angle B and D. Show that ABADis congruence ABCD. Also explain the three matching parts. 4. In the figure given below PR- RT-3 cm and QR - SR - 2 cm. Show that APQR = ATSR. 5. AKLM is isosceles where KL = KM and KN = KO. Show that LO = MN.
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Verified answer
triangle BAD - triangle BCD.
The three matching parts are: BA = BC, DA
= DC and BD = BD
Answer
From given, it is clear that ABCD is a polygon of four sides.
Given, BD line bisects angle B and D
. It implies that the line is BD with angles B and D.
We need to have 2 triangles within the given polygon.
Consider the figure while going through the following steps.
So, from figure, we have,
BA BC
• DA = DC
BD BD
triangle BAD - triangle BCD.
The three matching parts are: BA = BC, DA
= DC and BD = BD
Answer
From given, it is clear that ABCD is a polygon of four sides.
Given, BD line bisects angle B and D
. It implies that the line is BD with angles B and D.
We need to have 2 triangles within the given polygon.
Consider the figure while going through the following steps.
So, from figure, we have,
BA BC
DA = DC
BD BD