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Oh, dude, you can use transformations like translations, rotations of 180 degrees, or a combination of reflections across the diagonal or perpendicular bisectors to carry the rectangle ABCD onto itself. It's like playing Tetris but with shapes, you know? So, yeah, those are the moves you can make to keep the rectangle where it belongs.
There are the identity transformations:
- translation by (0, 0)
- enlargement by a scale factor of 0 - with any point as centre of enlargement.
In addition, it can be reflection about the perpendicular bisector of any side of the rectangle, or a rotation of 180 degrees about the centre of the rectangle.
Reflection across the line x=3
Reflection across the line y=2
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In parallelogram ABCD ACBD. is ABCD a rectangle?
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
What is the name for the angle that is formed by rectangle ADIJ and rectangle ABCD?
Dihedral angle
If ABCD is a rectangle and AE equals 15 what is the length of DB?
30
In parallelogram ABCD AC is congruent to BD. determine whether the parallelogram is a rectangle?
Yes, it is.
What is the perimeter of the rectangle ABCD when AD equals 3 and BD equals 5?
It is 16 units.
In parallelogram ABCD ACBD. is ABCD a rectangle?
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
What is the name for the angle that is formed by rectangle ADIJ and rectangle ABCD?
Dihedral angle
If a four-sided figure has four right angles it is a rectangle Shape ABCD has four right angles Therefore shape ABCD is a rectangle?
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.
If ABCD is a rectangle and AE equals 15 what is the length of DB?
30
ABCD is a rectangle and AE equals 12 what is the length of DB?
24;
In parallelogram ABCD AC is congruent to BD. determine whether the parallelogram is a rectangle?
Yes, it is.
What is the perimeter of the rectangle ABCD when AD equals 3 and BD equals 5?
It is 16 units.
If ABCD is a rectangle and angle CBD equals 47 degrees what is the value of x?
The answer will depend on what x is!
What shape is generated when rectangle ABCD is rotated around the horizontal line through D and A?
Cylinder
Rectangle abcd lies in the xy-coordinate plane so that its sides are not parallel to the axes what is the product of the slopes of all four sides of rectangle abcd?
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
Is this statement true or falseThe area of rectangle ABCD is equal to the area of parallelogram PQRS?
false
What is the relationship between the area of rectangle ABCD and the area of ABC?
Area of a rectangle = length of base x height Area of a triangle = (length of base x height)/2 A.............................................. B mmmmmmmmmmmmmmmmmmm m.............................................. m m ..............................................m m.............................................. m m.............................................. m m.............................................. m m ..............................................m m.............................................. m mmmmmmmmmmmmmmmmmmm C ..............................................D Area of ABCD = AB x AC Area of ABCD = (AB X AC)/2 Then Area of ABCD = 2 Area of ABC
