Geometry H 4.1-4.2 Check-up

Front

What is the component form of a vector?

Back

The component form of a vector describes its horizontal and vertical components, typically written as \( \langle x, y \rangle \), where \( x \) is the horizontal change and \( y \) is the vertical change.

Front

How do you find the component form of vector AB if A(0, 0) and B(6, 2)?

Back

The component form is found by subtracting the coordinates of A from B: \( \langle 6 - 0, 2 - 0 \rangle = \langle 6, 2 \rangle \).

Front

What does a translation vector represent?

Back

A translation vector indicates how far and in which direction a shape moves in the coordinate plane, expressed as \( \langle x, y \rangle \).

Front

How do you perform a translation on a point M(x, y) using the vector \( \langle -5, 8 \rangle \)?

Back

You add the vector components to the point: \( M'(x, y) = (x - 5, y + 8) \).

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point \( (x, y) \) across the x-axis results in the point \( (x, -y) \).

Front

How do you find the image of a point after a reflection in the x-axis?

Back

For point Q(8, -6), the image after reflection is Q'(8, 6) because the y-coordinate changes sign.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves.

Front

How can you determine the number of lines of symmetry in a figure?

Back

Count the lines that can be drawn through the figure such that one side is a mirror image of the other.

Front

What is the result of a reflection in the line y = x?

Back

Reflecting a point \( (x, y) \) in the line y = x results in the point \( (y, x) \).

Front

What is the composition of transformations?

Back

The composition of transformations involves applying one transformation after another to a point or figure.