Question bank: Polygon Transformations

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Question 1:

Medium

Joana decided to make transformations on a square represented in the Cartesian plane by multiplying the coordinates of its vertices by an integer. Consider that the original square has vertices A(1, 1), B(1, 5), C(5, 5), and D(5, 1). If Joana multiplies the coordinates of these vertices by 2, what will be the coordinates of the vertices of the new square formed?

Polygon Transformations

Question 2:

Medium

A class of 7th grade students is learning about transformations on the Cartesian plane. They were tasked with performing the transformation of a right triangle ABC with vertices at A(2,1), B(4,1), and C(2,3), by multiplying the coordinates of each vertex by 2. After performing this transformation, what will be the coordinate of vertex C in the new figure?

Polygon Transformations

Question 3:

Medium

João and Maria are learning about polygon transformations on the Cartesian plane. They took a triangle with vertices A(1, 2), B(3, 4), and C(5, 6) and decided to multiply the coordinates of all vertices by 2. After this transformation, what will be the position of the new triangle?

Polygon Transformations

Question 4:

Medium

An artist is creating a geometric drawing on the Cartesian plane. He drew a triangle with vertices A(1, 2), B(3, 3), and C(2, 5). Now, he wants to perform transformations on this triangle to create a symmetrical and enlarged shape. 1) Find the vertices of the triangle after multiplying the coordinates of each vertex by 2. 2) Determine the coordinates of the vertices of the triangle symmetric to the x-axis. 3) Find the coordinates of the triangle reflected with respect to the origin.

Polygon Transformations

Question 5:

Medium

If a square with coordinates (1,1), (1,3), (3,1), (3,3) has its coordinates multiplied by 3, what will be the new length of its side?

Polygon Transformations

Basic Calculus

IARA TIP

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