Question

EXERCISE 7.1
C С
1. In quadrilateral ACBD,
AC = AD and AB bisects ZA
(see Fig. 7.16). Show that A ABC=A ABD.
What can you say about BC and BD?
А
B В
D
Fig. 7.16​

Answer 1

Answer:

In Euclidean plane geometry, a quadrilateral is a polygon with four edges and four vertices. Other names for quadrilateral include quadrangle, tetragon, and 4-gon. A quadrilateral with vertices, and is sometimes denoted as. Wikipedia

Area: ½ x diagonal x (sum of perpendicular heights)

Perimeter: sum of sides of the quadrilateral

Number of vertices: 4

Number of edges: 4

Internal angle: 90° (for square and rectangle)

Sum of interior angles: 360°

Step-by-step explanation:

hope it helps u

Answer 2

Question :-

In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD?

Answer :-

In quadrilateral ACBD, we have AC = AD and AB being the bisector of ∠A.

Now, In ∆ABC and ∆ABD,

AC = AD (Given)

∠ CAB = ∠ DAB ( AB bisects ∠ CAB)

and AB = AB (Common)

∴ ∆ ABC ≅ ∆ABD (By SAS congruence axiom)

∴ BC = BD (By CPCT)

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