Question

applications

1. julián is designing a kite. one - half of the kite has been laid out on the

coordinate grid shown. julián would like the second half of the kite to
be the image of the one shown after a reflection in the origin.
show where each of the marked points would get mapped under this
point reflection and then draw and shade the second half of juliáns kite.

Explanation:

Step1: Recall the rule for reflection in the origin

The rule for a point \((x,y)\) reflected in the origin is \((-x,-y)\).

Step2: Identify the coordinates of the marked points

Assume the coordinates of the marked points (let's say point \(A(x_1,y_1)\) and point \(B(x_2,y_2)\)). For example, if one point has coordinates \((- 6,4)\) and another has coordinates \((-2,8)\)

Step3: Apply the reflection rule

For the point \((-6,4)\), after reflection in the origin, the new coordinates are \((6,-4)\) (using \(x=-(-6) = 6\) and \(y=-4\)). For the point \((-2,8)\), after reflection in the origin, the new coordinates are \((2,-8)\) (using \(x = -(-2)=2\) and \(y=-8\)).

Step4: Plot the new points

Plot the points obtained from step 3 on the coordinate - grid.

Step5: Draw and shade the kite

Connect the new points (along with the origin if applicable) to form the second - half of the kite and shade it.

Answer:

Follow the steps above to find the reflected points and draw the second - half of the kite.