Practice Set 8.1
(1) Complete the table below by observing the diagram.
| Sr. No. | Figure | Vertices | Sides | Angles |
|---|---|---|---|---|
| 1 |
Point A, Point B, Point C |
seg AB, seg BC, seg AC |
∠ABC ∠BAC ∠ACB |
|
| 2 |
Point L, Point M, Point N |
seg LM, seg MN, seg LN |
∠LMN ∠MNL ∠NLM |
|
| 3 |
Point X, Point Y, Point Z |
seg XY, seg YZ, seg XZ |
∠XYZ ∠YZX ∠YXZ |
(2) Observe the adjacent figure and write the names of all the triangles.
Solution
Ans. The names of all the triangles are:
△ABC
△ADE
△DEF
△DFB
△DBC
△EFC
△DEC
△BFC
△ADC
△AEB
△DEB
△BCE
△FBC
△CDE
△CDA
(3) Observe the given figure and write the answers to the following questions:
i)
Write the name of the triangle.
ii)
Write the names of the points on the triangle.
iii)
Which are the points in the interior of the triangle?
iv)
Which are the points in the exterior of the triangle?
v)
Write the names of the points in the triangular region.
Solution
(i)
△PQR.
(ii)
Points on the triangle: Points P, F, Q, R, E.
(iii)
Points in the interior of triangle: Points A, B, C.
(iv)
Points in the exterior of a triangle: Points G, D.
(v)
Points in the triangular region: Points P, Q, R, F, E, A, B, C.