Question

quadrilateral abcd is shown

use the drop - down menus to create true statements about how to move one point to create each of the described quadrilaterals.

to create a quadrilateral that has 2 pairs of congruent sides and four right angles, point c should be moved 2 unit(s) to the left

to create a quadrilateral that has 2 sets of parallel sides but no right angles point b should be moved 2 unit(s) to the (with a dropdown showing left and right)

Explanation:

Step1: Analyze the first quadrilateral

We need a quadrilateral with 2 pairs of congruent sides and four right angles (a rectangle). Current quadrilateral is a trapezoid. Moving point C left by 2 units: Let's check coordinates. Suppose grid is 1 unit per square. Original D is at some x, C is 3 units right of D (assuming D is at x=1, C at x=4). Moving C left 2 units (to x=2) makes DC length equal to AB (AB is 2 units, DC becomes 2 units), and AD and BC will be congruent, with right angles. So that works.

Step2: Analyze the second quadrilateral

We need a parallelogram with no right angles. Current point B: moving B right by 2 units. Let's see: Original B is at some position. Moving B right 2 units: AB and DC will be parallel, AD and BC will be parallel, and angles won't be right (since slope of BC will change to not be vertical/horizontal). So direction is right.

Answer:

For the second drop - down (direction for moving point B), the answer is "right".