Semester 1 Practice Exam

Front

Rotate (-5,6) 90 degrees. What is the new point?

Back

Using the 90 degree rotation rule: (x,y) --> (-y,x), the new point is (-6, -5).

Front

What are linear pairs?

Back

Linear pairs are two adjacent angles that form a straight line, meaning their measures add up to 180 degrees.

Front

What is a translation in geometry?

Back

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

Front

If \( \overrightarrow{KM} \) bisects \( \angle LKJ \) and \( m\angle JKM=22\degree \), what is \( m\angle LKJ \)?

Back

Since \( \overrightarrow{KM} \) bisects the angle, \( m\angle LKJ = 2 \times 22\degree = 44\degree \).

Front

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

Back

Use the distance formula: \( d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \).

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is a reflection in geometry?

Back

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

Front

What does it mean for angles to be vertical?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always congruent.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by \( A = \frac{1}{2} \times base \times height \).