Geometry Semester 1 Exam

Front

What is the measure of angle ABC if the options are 153, 161, 128, and 104?

Back

The measure of angle ABC is 161.

Front

How do you find the midpoint of a line segment with endpoints (3, 3) and (0, -5)?

Back

The midpoint is calculated as ((x1 + x2)/2, (y1 + y2)/2). For (3, 3) and (0, -5), the midpoint is (1.5, -1).

Front

What is the range of possible measures for the third side of a triangle with sides measuring 12 and 8?

Back

The range is 4 < x < 20.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation. For example, if x + 5 = 28, then x = 28 - 5 = 23.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated as length × width.

Front

If a rectangle has a length of 8 cm and a width of 5.9 cm, what is its area?

Back

The area is 8 cm × 5.9 cm = 47.2 cm².

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle measure 12 and 8, what is the minimum length of the third side?

Back

The minimum length of the third side must be greater than the difference of the two sides, which is 12 - 8 = 4.

Front

What is the formula for finding the midpoint of a line segment?

Back

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

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.