CPM Geometry Final Review Sem 1

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x = 3?

Back

a = 4, b = -8, c = -3

Front

How do you find the perimeter of a triangle?

Back

Add the lengths of all three sides. Example: If each side is 40 inches, perimeter = 40 + 40 + 40 = 120 inches.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Solve using the quadratic formula: 9x² = 4 + 7x

Back

x = 1.16 and x = -0.38

Front

What does it mean for triangles to be similar?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their sides are proportional.

Front

If the perimeter of a rectangle is 166 units, how do you find the length of one side if the other side is known?

Back

Use the formula: Perimeter = 2(length + width). Rearrange to find the unknown side.

Front

What is the relationship between the coefficients of a quadratic equation and its graph?

Back

The coefficients a, b, and c determine the shape and position of the parabola on the graph.

Front

How do you determine if two triangles are similar?

Back

Check if their corresponding angles are equal or if their sides are in proportion.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.