GSEB Class 6 Maths Solutions Chapter 4 Basic Geometrical Ideas Exercise 4.4

Gujarat Board Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.4

Question 1. Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. State if point A is in its exterior or in its interior?
Answer:(a) The point P is located inside the triangle ABC.
(b) The point Q is positioned outside the triangle.
(c) No, the point A is neither within nor outside the triangle; it functions as a vertex of the triangle.
In simple words: Point P sits inside the triangle, while point Q is positioned outside it. Point A is a corner of the triangle, not an interior or exterior spot.

Exam Tip: When drawing points relative to a figure, always ensure they are clearly visible and appropriately labeled as inside, outside, or on the boundary.

Question 2. Name the triangles, angles, and line segments in the given figure. Also, identify which two triangles share \( \angle B \) as a common angle.
Answer:(a) The three primary triangles present in the figure are: \( \Delta ABC \), \( \Delta ABD \), and \( \Delta ADC \).
(b) The seven distinct angles visible in the figure are:
(i) \( \angle ABC \)
(ii) \( \angle ADC \)
(iii) \( \angle ACB \)
(iv) \( \angle ADB \)
(v) \( \angle BAC \)
(vi) \( \angle BAD \)
(vii) \( \angle DAC \)
(c) The six specific line segments shown in the figure include:
(i) AB
(ii) AD
(iii) AC
(iv) BD
(v) CD
(vi) BC
(d) Within the provided figure, both \( \Delta ABD \) and \( \Delta ABC \) have \( \angle B \) as an angle they commonly share.
In simple words: This figure contains three main triangles: the large one, and two smaller ones formed by the line from A to D. There are seven distinct angles you can see, and six different straight lines that form the edges. Both the smaller triangle ABD and the larger triangle ABC use the same corner B.

Exam Tip: When identifying triangles, angles, and line segments, systematically list them to avoid missing any. Clearly label all vertices and points in your diagram.