Question

Quadrilaterals with Certain Diagonal Properties 4 points each =16 points [Scores] This task is in Euclidean Geometry. Use GeoGebra. Each letter represents a different construction. Note that these constructions will be based upon starting with the diagonals and making sure that they have the indicated properties. Be sure to include your links to dynamic constructions. If you want, you can do all of these in one GeoGebra activity, if you include a hide/show checkbox for each part. Notice that these are converses of some of the properties of kites. In general, we always want to see if the converses of our propositions are true or not. A. Construct a quadrilateral with intersecting diagonals. What kind of quadrilateral must it be? It is a convex quadrilateral.

Answer 1

To construct a convex quadrilateral with intersecting diagonals in Euclidean Geometry, draw two intersecting lines for the diagonals and connect their endpoints with two additional lines to form the sides of the quadrilateral.

Step-by-step explanation:

In Euclidean Geometry, a convex quadrilateral can be constructed with intersecting diagonals. To construct this quadrilateral, start by drawing two intersecting lines to create two diagonals. Then, draw two more lines connecting the endpoints of the diagonals, forming the sides of the quadrilateral. This resulting shape is a convex quadrilateral.