Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you express a translation mathematically?

Back

A translation can be expressed as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does the notation (x - 2, y + 3) represent?

Back

This notation represents a translation 2 units to the left and 3 units up.

Front

What is the SAS congruence theorem?

Back

The SAS (Side-Angle-Side) congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the difference between reflection and translation?

Back

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

Front

How do you determine the translation needed to move triangle ABC to triangle A'B'C'?

Back

Identify the change in x-coordinates and y-coordinates between corresponding points of the triangles.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the sign of the y-coordinates of its points.

Front

What does the notation (x + 2, y - 5) indicate?

Back

This indicates a translation 2 units to the right and 5 units down.

Front

What is the AAS congruence theorem?

Back

The AAS (Angle-Angle-Side) congruence theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the purpose of using congruence theorems in geometry?

Back

Congruence theorems are used to prove that two triangles are congruent, which helps in solving various geometric problems.