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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new point is (1, 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The new point is (-5, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.2

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).

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.CO.B.7

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5