Geometry Unit For Polygons & Transformations quiz

The most specific way we can describe/classify the drawing is "parallel lines" because the lines in the drawing never intersect and are always equidistant from each other.

A decagon is a polygon with ten sides. The prefix "deca-" means ten, so a decagon is specifically defined as having ten sides.

The drawing below can be described as intersecting lines because the lines in the drawing cross each other at different points. This classification emphasizes the fact that the lines intersect or meet at specific points, rather than being parallel or perpendicular to each other.

A stop sign is shaped like an octagon because it has eight sides. The octagonal shape is easily recognizable and distinct, allowing drivers to quickly identify and understand the meaning of the sign. The unique shape helps to ensure that the stop sign stands out among other road signs and effectively communicates the need for drivers to come to a complete stop.

A translation does not change the size and shape of a figure. A translation is a transformation that moves every point of a figure the same distance in the same direction. It simply shifts the figure without altering its size or shape. Therefore, the correct answer is false.

A nonagon is a polygon with nine sides. In this question, the correct answer is 9 sides because a nonagon is specifically defined as having nine sides.

The triangle shown below is an acute triangle because all of its angles are less than 90 degrees.

A polygon is a closed figure with straight sides. A triangle has three sides, a hexagon has six sides, and a pentagon has five sides. Therefore, the correct answer is pentagon.

The given question is asking to identify the type of triangle shown below. The correct answer is "equilateral". An equilateral triangle is a type of triangle in which all three sides are of equal length. Since the question does not provide any visual representation or additional information about the triangle, we can assume that it is an equilateral triangle based on the given options and the fact that it is the correct answer.

The given question asks to identify the type of triangle shown below. The answer is "right triangle". A right triangle is a triangle that has one angle measuring 90 degrees. In the absence of a visual representation, it is impossible to determine the type of triangle accurately. However, based on the given options, it can be inferred that the triangle in question has a right angle, making it a right triangle.

The transformation shown in the question is a reflection over the x-axis. This means that each point on the original figure is reflected across the x-axis to create the new figure. In the new figure, the y-coordinates of the points are negated while the x-coordinates remain the same. This results in the figure being flipped upside down with respect to the x-axis. Therefore, the correct answer is x-axis.

The transformation shown above is a dilation of 2. This means that every point in the figure has been stretched away from the center of dilation by a factor of 2. The distance between each point and the center of dilation has been multiplied by 2.

The given answer is "obtuse triangle" because an obtuse triangle is a triangle that has one angle greater than 90 degrees. Since the question does not provide any additional information or measurements about the angles of the triangle shown, we can only determine its type based on the given answer choices. Therefore, the correct answer is "obtuse triangle."

The rotation that occurred above can be described as a rotation of 90 degrees counter clockwise. This means that the object or shape was rotated in the opposite direction of the clock's hands by 90 degrees.

A translation that moves 6 units down and 5 units to the right can be described as (x + 5, y - 6) because when we move to the right, the x-coordinate increases, and when we move down, the y-coordinate decreases. Therefore, the correct answer is (x + 5, y - 6) as it reflects the correct direction and magnitude of the translation.

The correct answer is ( x + 6 , y - 2 ). This translation involves shifting the point (x, y) six units to the right and two units downwards.

The given answer "Reflection over y = -2" is correct because the transformation shown in the question involves reflecting the figure over the line y = -2. This means that each point on the figure is mirrored across the line y = -2, resulting in a flipped image.

The area of a trapezoid is calculated by multiplying the sum of its bases by its height and dividing the result by 2. In this case, since the area is given as 9, we can assume that the sum of the bases multiplied by the height is equal to 18. Without further information, it is not possible to determine the exact values of the bases and height.

The figure above has a dilation with a scale factor of 1.5. This means that every point in the figure is multiplied by a factor of 1.5, resulting in a figure that is 1.5 times larger than the original figure.