Math

Geometric transformations

Name: Geometric transformations
Genre: Math
Released: 2024-11-20
Rating: 0

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Math

If the center of the dilation is the origin, then it is easy to calculate the coordinates of the figure after the dilation: just multiply the coordinates by the scale factor. I also show an example where the center of the dilation is one of the vertices of a triangle. Lastly, I present a question about the scale factor and the center of a certain dilation. Math Mammoth Grade 8 curriculum: Practice geometric transformations online:

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Commentaires

10 commentaires

Asif PatelOct 22, 2025

I explain the basics of these congruent transformations: translation, rotation, and reflection. A rotation always happens around some point (a center point). A reflection always happens across (or in) some particular line. I also show how to use transparent paper to rotate a triangle around a point. Math Mammoth Grade 8 curriculum: Practice geometric transformations online:

Patricia SambiOct 22, 2025

444🎯Oct 22, 2025

We look at rotating a point 90 degrees around the origin, and how the coordinates of the point "flip" or switch, plus there is possibly a change in the sign of one of the coordinates. For example, point (5, 2) when rotated clockwise around the origin, becomes (2, -5). Then I show how to rotate a point around another point (the center point of rotation), again 90 degrees either clockwise or counterclockwise. Lastly, we rotate an entire triangle 90 degrees around a certain point in the coordinate grid. Math Mammoth Grade 8 curriculum Practice geometric transformations online:

EL~~♥️💫Oct 22, 2025

arcoiris🌈Oct 22, 2025

We look at a few simple exercises that are based on the fact that the basic geometric transformations (translations, reflections, rotations) preserve angles, distances, and parallel lines. In other words, the image of a figure under these transformations is congruent to the original. Math Mammoth Grade 8 curriculum: Practice geometric transformations online:

user8062051401883Oct 22, 2025

Depi😍😍Oct 22, 2025

In a reflection, the point and its image are at the same (perpendicular) distance from the reflection line. Learn the basics of how points are reflected in the x- or y-axis, and how their coordinates change. Math Mammoth Grade 8 curriculum: Practice geometric transformations online:

Amie❤️❤️💃🏻💃🏻Oct 22, 2025

Fatima CoulibalyOct 22, 2025

When a figure undergoes a sequence of congruent transformations, the final figure is congruent to the original. We can use this fact to prove that one figure is congruent to another -- all we need to do is find a sequence of congruent transformations that maps one figure to the other. In this video, we look at example of such. Then I also solve an exercise where we need to find the coordinates of the vertices of a triangle before it was reflected in the x-axis and rotated 90 degrees around the origin. Math Mammoth Grade 8 curriculum: Practice geometric transformations online:

ملك♥️💋Oct 22, 2025

Geometric transformations

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