Transformations & Triangle Congruence Review

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

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

Front

What is the result of translating the point (3, 4) by (x - 2, y + 3)?

Back

The new point is (1, 7).

Front

What does it mean to rotate a point 180° around the origin?

Back

Rotating a point 180° around the origin changes the sign of both coordinates.

Front

What is the new location of the point (5, -3) after a 180° rotation?

Back

The new point is (-5, 3).

Front

What is triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

What are the criteria for triangle congruence?

Back

The criteria are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If triangle ABC is congruent to triangle DEF, what can we say about their corresponding angles and sides?

Back

Their corresponding angles are equal, and their corresponding sides are equal in length.

Front

What is the effect of translating a triangle 4 units to the right and 2 units down?

Back

The new coordinates of each vertex of the triangle will be (x + 4, y - 2).

Front

How do you denote a translation of a triangle in coordinate form?

Back

A translation can be denoted as (x + a, y + b), where 'a' and 'b' are the shifts in the x and y directions, respectively.