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What transformations preserves the measures of the angles but changes the lengths of the sides of the figure?
The transformations that preserve the measures of the angles but change the lengths of the sides of a figure are known as similarity transformations. These include dilation, where a figure is enlarged or reduced proportionally, and certain types of non-rigid transformations. Unlike rigid transformations (like translations, rotations, and reflections), which maintain both angle measures and side lengths, similarity transformations allow for changes in size while keeping the shape intact.
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What is the transformation that preserves lengths and angle measures?
teres
Which property changes when a figure is reflected across a line?
When a figure is reflected across a line, its orientation changes, meaning that the figure appears as a mirror image relative to the line of reflection. However, the size, shape, and distances between points in the figure remain unchanged. This transformation preserves congruence, maintaining all angles and lengths.
What is a figure with sides the have equal lengths and all the angles have equal measures?
square
How do you find the measures of a rhombus with two diagonals?
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
When given all three side lengths of a triangle but none of the angle measures you can solve for all angle measures using?
With trigonometry by using the cosine rule
Which of the following transformations preserves the lengths of the sides of the figure?
contraction
Which transformations preserves the lengths of the sides of the figure?
rotation, translation, and reflection
What is the transformation that preserves lengths and angle measures?
teres
What characteristics are used to classify quadrilaterals?
Lengths of sides, sequence of these lengths and measures of angles.
What is the sum of the measures of a 12-gon?
Measures of what? The interior angles, the exterior angles, the lengths of sides?
What is the sum of the measures of a dodecagon?
It depends on what the measures relate to: lengths of sides, interior angles, exterior angles, ...
Which property changes when a figure is reflected across a line?
When a figure is reflected across a line, its orientation changes, meaning that the figure appears as a mirror image relative to the line of reflection. However, the size, shape, and distances between points in the figure remain unchanged. This transformation preserves congruence, maintaining all angles and lengths.
3 lengths can be measures of a right triangle?
Opposite, adjacent, hypotenuse.
When doubling the lengths and widths of a rectangle the angle measures will do what?
stay the same
Changes in temperature and lengths of days?
Seasonal
What is a figure with sides the have equal lengths and all the angles have equal measures?
square
What is a figure with sides that have equal lengths and all the angles have equal measures?
polygon
