In quadrilateral ACBD
8. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see figure). Show that (i) ∆AMC ≅ ∆BMD (ii) ∠DBC is a right angle (iii) ∆DBC ≅ ∆ACB (iv) CM = 1/2 AB
15
Oct
8. In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see figure). Show that (i) ∆AMC ≅ ∆BMD (ii) ∠DBC is a right angle (iii) ∆DBC [...]
5. Line l is the bisector of an ∠ A and ∠ B is any point on l. BP and BQ are perpendiculars from B to the arms of angle A (see figure). Show that (i) ∆APB ≅ ∆AQB (ii) BP = BQ or B is equidistant from the arms ot ∠A.
15
Oct
5. Line l is the bisector of an ∠ A and ∠ B is any point on l. BP and BQ are perpendiculars from B to the arms of angle A (see figure). Show that (i) ∆APB ≅ ∆AQB (ii) BP = BQ or B is equidistant from the arms ot ∠A. AC = AD [...]
In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD?
15
Oct
In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD? AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD? In quadrilateral ACBD October 15, 2020 [...]