College

Identify the scale factor used to map Triangle A(2, 3), B(1, 6), C(0, 4) onto Triangle D(3, 4.5), E(1.5, 9), F(0, 6).

Answer :

The scale factor of the map is 1.5. By using the scale factor △ DEF is drawn from △ABC.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The vertices of △ABC are A(2, 3), B(1, 6), C(0, 4)

The x-coordinate of A is 2.

The y-coordinate of A is 3.

The x-coordinate of B is 1.

The y-coordinate of B is 6.

The x-coordinate of C is 0.

The y-coordinate of C is 4.

The vertices of △DEF are D(3, 4.5), E(1.5, 9), F(0, 6).

The x-coordinate of D is 3.

The y-coordinate of D is 4.5.

The x-coordinate of E is 1.5.

The y-coordinate of E is 9.

The x-coordinate of F is 0.

The y-coordinate of F is 6.

The ratio of x-coordinates of △ABC with x-coordinates of △DEF:

x-coordinates of A/ x-coordinates D = x-coordinates of B/ x-coordinates of E = x-coordinates of C/ x-coordinates of F = 1.5

The ratio of y-coordinates of △ABC with y-coordinates of △DEF:

y-coordinates of A/ y-coordinates D = y-coordinates of B/y-coordinates of E = y-coordinates of C/ y-coordinates of F = 1.5

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