GeoTrig C4 Test Review

Front

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

Back

Midpoint = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Front

What do we call the object after geometric transformation(s) have occurred?

Back

Image (usually labeled with prime symbols, e.g., A’B’C')

Front

Find the midpoint of the points (2, -7) and (10, 1).

Back

(6, -3)

Front

What theorem can be used to determine if two triangles are congruent?

Back

SAS, SSS, HL, ASA, or Not Congruent depending on the given information.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the definition of a pre-image in geometry?

Back

The original figure before any transformation is applied.

Front

How do you calculate the distance between two points (x₁, y₁) and (x₂, y₂)?

Back

Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the formula for the area of a triangle?

Back

Area = \frac{1}{2} \times base \times height

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in the same direction.