Isosc Triangles Geometric Transformations and Distance A

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

How do you find the midpoint between two points (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated as M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The new coordinates will be (-x, -y).

Front

What is the effect of reflecting a point (x, y) over the x-axis?

Back

The new coordinates will be (x, -y).

Front

What is the effect of translating a point (x, y) 5 units left and 3 units down?

Back

The new coordinates will be (x - 5, y - 3).

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance d is calculated as d = √((x2 - x1)² + (y2 - y1)²).

Front

If point A is at (3, 4) and is reflected over the y-axis, what are the new coordinates of A'?

Back

The new coordinates will be (-3, 4).

Front

What is the definition of a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

How do you perform a translation of a shape on a coordinate plane?

Back

To translate a shape, you add or subtract values from the x and y coordinates of each point of the shape.

Front

What are the coordinates of a point after a 90° rotation counterclockwise about the origin?

Back

The new coordinates will be (-y, x).