Reflection across the line x=3
Reflection across the line y=2
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
Dihedral angle
30
Yes, it is.
Cylinder
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
Dihedral angle
To prove that polygon ABCD is not a rectangle, we can show that it does not have four right angles or that the lengths of opposite sides are not equal. Additionally, if we find that the diagonals of the polygon are not equal in length, that would also confirm it is not a rectangle. Any of these conditions being violated is sufficient to establish that ABCD is not a rectangle.
To determine which polygons in the diagram are images of polygon ABCD under similarity transformations, look for shapes that maintain the same angles and have proportional side lengths compared to ABCD. Similarity transformations include translations, rotations, reflections, and dilations. Any polygon that matches these criteria will be a valid image of ABCD. Without the specific diagram, I cannot identify the exact polygons, but those that have these properties are the images.
Yes, provided: 1. ABCD is a closed plane figure (ie a closed 2-dimensional shape) 2. A square is considered a special case of a rectangle.
24;
30
Yes, it is.
The answer will depend on what x is!
Cylinder
It is 16 units.
To find:The product of the slopes of all 4 sides of rectangle ABCDSolution:Topic(s): Coordinate geometryThe product of the slopes of perpendicular lines = -1.From the sketch above,Answer: (D) 1