Units 5 & 6 Midterm Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It is defined by a center point and a scale factor. The coordinates of a point (x, y) after dilation with a scale factor k are given by (kx, ky).

Front

How do you find the coordinates of a triangle after dilation?

Back

To find the coordinates of a triangle after dilation, multiply each vertex's coordinates by the scale factor. For example, if the triangle has vertices A(x1, y1), B(x2, y2), and C(x3, y3), and the scale factor is k, the new coordinates will be A(k*x1, k*y1), B(k*x2, k*y2), C(k*x3, k*y3).

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

What is the angle of reflection?

Back

The angle of reflection is the angle formed between the reflected ray and the normal (a line perpendicular to the surface at the point of incidence). It is equal to the angle of incidence.

Front

How do you calculate the measure of an angle in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees. To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if two expressions are equal, subtracting the same value from both sides will maintain the equality. For example, if a = b, then a - c = b - c.

Front

What is the purpose of a diagonal brace in a structure?

Back

A diagonal brace is used to provide stability and prevent sagging in structures, such as fences or roofs, by distributing forces and maintaining shape.

Front

How do you solve for unknown variables in a system of equations?

Back

To solve for unknown variables in a system of equations, you can use methods such as substitution, elimination, or graphing to find the values that satisfy all equations simultaneously.

Front

What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if two expressions are equal, multiplying both sides by the same non-zero value will maintain the equality. For example, if a = b, then a * c = b * c.

Front

What is the Division Property of Equality?

Back

The Division Property of Equality states that if two expressions are equal, dividing both sides by the same non-zero value will maintain the equality. For example, if a = b, then a / c = b / c.