Geometry B Semester Exam Review ALEKS

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

If the side lengths of a triangle are 4, 43, and 8, can it be a right triangle?

Back

No, the hypotenuse should be approximately 43.7 units.

Front

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is 4?

Back

The length of the hypotenuse is 4√2.

Front

How do you translate a point (X) 3 units to the left and 9 units down?

Back

To translate a point (x, y) to the left by 3 units and down by 9 units, subtract 3 from x and 9 from y. For example, (X) at (1, 4) would move to (-2, -5).

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 is the result of reflecting the point (3, 5) across the y-axis?

Back

The result is (-3, 5).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

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 degrees.

Front

What is the difference between a scalene triangle and an isosceles triangle?

Back

A scalene triangle has all sides of different lengths, while an isosceles triangle has at least two sides of equal length.