Question

Priya followed this set of instructions to make quadrilateral ACBD . Choose a description you can be sure is accurate for the shape she constructed. 1) Draw 2 points: A and B. 2) Draw a circle centered at A with radius AB. 3) Draw a circle centered at B with radius AB 4) Label the intersection points of the circles C and D. 5) Draw segments AC , BC, AD , and BD. Select the correct choice. ​

Answer 1

The shape is rhombus.

Explanation:

Priya followed this set of instructions to make quadrilateral ACBD .

First she draw 2 points: A and B. which are end points of a diagonal of quadrilateral ACBD .

She draw a circle centered at A with radius AB, then she draw a circle centered at B with radius AB. After that she labels the intersection points of the circles C and D.

It means the point C and D are equidistant from A and B.

Them she draw segments AC , BC, AD , and BD.

Here,

AC = AD = BC = BD (C and D are equidistant from A and B)

Here all the sides of quadrilateral ACBD are equal.

We know that, if all sides of a quadrilateral are equal then it is a rhombus.

Therefore, the shape is rhombus.