Big Ideas Geometry Chapter 4

Front

What is the effect of a dilation with a scale factor of 2 on the length of a side of a triangle?

Back

The length of the side will be doubled.

Front

What is the difference between an enlargement and a reduction in terms of dilation?

Back

An enlargement increases the size of a figure, while a reduction decreases the size.

Front

If a point (x,y) is translated vertically by k units, what is the new position of the point?

Back

The new position will be (x, y+k).

Front

If a point (x,y) is translated horizontally by k units, what is the new position of the point?

Back

The new position will be (x+k, y).

Front

How do you determine the number of lines of symmetry in a shape?

Back

Count the number of ways the shape can be folded so that both halves match.

Front

What is the rule for reflecting a point across a vertical line x = a?

Back

The new x-coordinate will be 2a - original x-coordinate, while the y-coordinate remains the same.

Front

What is the rule for reflecting a point across a horizontal line y = b?

Back

The new y-coordinate will be 2b - original y-coordinate, while the x-coordinate remains the same.

Front

What is the definition of a translation in geometry?

Back

A translation moves every point of a figure the same distance in the same direction.

Front

What is the formula for calculating the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the origin in coordinate geometry?

Back

The origin (0,0) is the point where the x-axis and y-axis intersect, serving as a reference point for all other points.