Test Review

Front

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

Back

Front

What does it mean to translate a shape in a coordinate plane?

Back

Translating a shape means moving it from one position to another without changing its size, shape, or orientation. This is done by adding a specific value to the x and y coordinates.

Front

What is a congruence statement in geometry?

Back

Front

How do you determine the translation vector for a shape?

Back

The translation vector is determined by the change in x and y coordinates from the original shape to the new position. It is expressed as (x + a, y + b), where a and b are the changes in the x and y directions, respectively.

Front

What is the significance of the order of vertices in a congruence statement?

Back

The order of vertices in a congruence statement is crucial as it indicates which corresponding angles and sides are equal between the two figures.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What is the relationship between the sides of congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length, and corresponding angles are equal in measure.

Front

What does it mean to translate triangle ABC to triangle A'B'C'?

Back

It means to move triangle ABC to a new position in the coordinate plane such that its shape and size remain unchanged, resulting in triangle A'B'C'.

Front

What is the difference between translation and reflection in geometry?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, creating a mirror image.

Front

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

Back