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What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
What type of tranformation does not result in a figure that is congruent to the original one?
An enlargement. In general, a non-linear transformation.
Which sequence of tranformations may result in an image that is similar but not congruent to the original figure?
The transformation process is an 'enlargement'
What shape is made out of two congruent triangles?
If you have 2 EQUILATERAL triangles, and you stack them on their respective hypotenuses, the result: SQUARE. If you have 2 ISOSCELES triangles, and you stack them on their respective hypotenuses, the result: RECTANGLE. If you have 2 OBTUSE triangles, and you stack them on their respective hypotenuses, the result: PARALLELOGRAM.
What three transformations have isometry?
The three transformations that have isometry are translations, rotations, and reflections. Each of these transformations preserves the distances between points, meaning the shape and size of the figure remain unchanged. As a result, the original figure and its image after the transformation are congruent.
What is the transformation in which the preimage and it image are congruent?
The transformation in which the preimage and its image are congruent is called a rigid transformation or isometry. This type of transformation preserves distances and angles, meaning that the shape and size of the figure remain unchanged. Common examples include translations, rotations, and reflections. As a result, the original figure and its transformed version are congruent.
What is true about the result of a rigid transformation?
The object and its image are congruent.
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
What transformation will result in a similar figure?
An enlargement transformation will give the result of a similar shape.
Which transformation does not always result in congruent figures in the coordinate plane?
A transformation that does not always result in congruent figures in the coordinate plane is dilation. While dilations can resize figures, they change the dimensions of the original shape, leading to figures that are similar but not congruent. In contrast, transformations like translations, rotations, and reflections preserve the size and shape of the figures, resulting in congruence.
If you translate a heptagon what would it turn out to be?
Translation would result in a congruent heptagon at a different location.
Why is it helpful to know the number of congruent faces in a figure when you're finding surface area?
You need calculate the area of only one face and multiply the result by the number of congruent faces.
What type of tranformation does not result in a figure that is congruent to the original one?
An enlargement. In general, a non-linear transformation.
Which sequence of tranformations may result in an image that is similar but not congruent to the original figure?
The transformation process is an 'enlargement'
Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?
Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.
Can you divide a hexagon into 2 congruent pentagons?
Yes - divide the hexagon by drawing a line connecting two opposite sides, dividing it in half. (Drawing a line connecting two angles will only result in two congruent quadrilaterals).
Why would increasing the magnification of the object not necessarily lead to a more satisfying result?
Increasing the magnification of the object does not necessarily lead to a more satisfying result because magnification that is increased beyond a certain point can result to lost resolution. Magnification can be done by using instruments such as a magnifying glass, a microscope, and a telescope.
