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Example 8 : P is a point equidistant from two lines l and m intersecting at point A (see figure). Show that the line AP bisects the angle between them.
15
Oct
Example 8 : P is a point equidistant from two lines l and m intersecting at point A (see figure). Show that the line AP bisects the angle between them. Example 8 : P is a point equidistant from two lines l and m intersecting at point A (see figure). Show that the line AP [...]
Example 7 : AB is a line segment P and Q are point on opposite sides of AB such that each of them is equidistant from the points A and B . Show that the line PQ is perpendicular bisector of AB .
15
Oct
Example 7 : AB is a line segment P and Q are point on opposite sides of AB such that each of them is equidistant from the points A and B . Show that the line PQ is perpendicular bisector of AB . Example 7 : AB is a line segment P and Q are [...]
Example 6 : In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure). Show that AD = AE.
15
Oct
Example 6 : In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure). Show that AD = AE. D and E are points on BC such that BE = CD (see figure). Show that AD = AE. Example 6 : In an [...]
Example 5 : E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see figure). Show that BF = CE.
15
Oct
Example 5 : E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see figure). Show that BF = CE. Example 5 : E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see figure). Show that BF = CE. October 15, 2020 [...]
Example 4 : In triangle abc the bisector ad of angle a is perpendicular to side bc show that ab = bc and triangle abc is an isosceles triangle’
15
Oct
Example 4 : In triangle abc the bisector ad of angle a is perpendicular to side bc show that ab = bc and triangle abc is an isosceles triangle’ Example 4 : In triangle abc the bisector ad of angle a is perpendicular to side bc show that ab = bc and triangle abc is [...]
Example 3 : Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ΔAOB≅ΔDOC (ii) O is also the mid-point of BC.
15
Oct
Example 3 : Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ΔAOB≅ΔDOC (ii) O is also the mid-point of BC. Example 3 : Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) [...]
Example 2 : AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.
15
Oct
Example 2 : AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B. Example 2 : AB is a line segment and line l is its perpendicular bisector. If a point P lies on l show that [...]
Example 1 In Fig. , OA = OB and OD = OC. Show that (i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC.
15
Oct
Example 1 In Fig. , OA = OB and OD = OC. Show that (i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC. Example 1 In Fig OA = OB and OD = OC. Show that (i) ∆ AOD ≅ ∆ BOC and (ii) AD || BC. October 15, 2020 Category: Chapter 7 [...]
5. In Fig 7.51, PR > PQ and PS bisect angle QPR. Prove that angle PSR > angle PSQ.
15
Oct
5. In Fig 7.51, PR > PQ and PS bisect angle QPR. Prove that angle PSR > angle PSQ. 5. In Fig 7.51 PR > PQ and PS bisect angle QPR. Prove that angle PSR > angle PSQ. October 15, 2020 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,
6. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
15
Oct
6. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest. 6. Show that of all line segments drawn from a given point not on it the perpendicular line segment is the shortest. October 15, 2020 Category: Chapter 7 - Triangles , Maths , [...]