Geometry Midterm Review: Topic 1-6

Front

What is the measure of angle 4 if angle 1 = 27°?

Back

Angle 4 = 27° (if angle 1 and angle 4 are congruent).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

Back

A translation followed by a rotation.

Front

If the measure of angle Q is 60°, what can be inferred about its relationship with other angles?

Back

Angle Q may be part of a triangle or other geometric figure where the sum of angles is relevant.

Front

What is the definition of congruent figures in geometry?

Back

Congruent figures are figures that have the same shape and size.

Front

What is the definition of a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, while a rotation turns a figure around a point.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90°.