Geometry

A translation is a movement that slides a figure from one position to another without changing its shape or size. It is one of the basic geometric tra

Translations can be shown on a coordinate plane by moving every point of a figure the same distance and in the same direction. Using coordinates helps

A translation moves a figure from one location to another without changing its size or shape. On a coordinate plane, we can use coordinate rules to fi

A translation moves every point of a figure the same distance in the same direction. By comparing the coordinates of a figure and its image, we can de

A reflection is a transformation that flips a figure across a line to create a mirror image. Reflections are common in mirrors, windows, and calm wate

A reflection flips a figure across a line to create a mirror image. On a coordinate plane, figures can be reflected across the x-axis or the y-axis.

Parallel lines are lines that never cross, no matter how far they extend. A transversal is a line that crosses two or more lines. You can see parallel

Angles are everywhere! You can find them in buildings, road signs, sports fields, and even in the corners of your phone screen. Learning how to find a

Angles are everywhere! You can find them in road signs, building designs, sports fields, and even the corners of your classroom. Learning how angles a

Have you ever noticed that no matter how a triangle looks, its angles always seem to “fit” perfectly together? This idea is called the angle sum prope

Have you ever noticed the corners of a stop sign, a soccer field, or a building? Those corners are made by angles. Exterior angles are angles formed o

Triangles are everywhere—from roof designs to road signs and bridges. The Exterior Angle Theorem helps us find missing angles in triangles without mea

Have you ever wondered how to find the shortest distance across a rectangular park or the length of a ladder leaning against a wall? The Pythagorean T

The Pythagorean Theorem describes an important relationship between the three sides of a right triangle. It helps us determine unknown distances on ma

Have you ever wondered how to tell whether three given side lengths can form a right triangle? The converse of the Pythagorean Theorem helps us find o

A right triangle has one 90-degree angle. The side opposite this angle is called the hypotenuse, and it is always the longest side. Finding its length

Right triangles appear in ramps, ladders, roofs, and even the shortest path across a rectangular field. Sometimes we know the hypotenuse—the longest s

The Pythagorean Theorem helps us find distances in right triangles. It is especially useful in real life when measuring lengths that are not easy to m

Have you ever wondered how much water a can or a pipe can hold? That’s where the volume of a cylinder comes in. A cylinder is a 3D shape with two circ

The volume formula for a cylinder can be used to find an unknown dimension when the volume and another measurement are known. This can help determine

The volume formula for a cylinder can be used to find an unknown radius when the volume and height are known. This is useful when working with cylindr

Cone-shaped objects appear in everyday life, such as paper cones and funnels. Their volume tells us how much space is inside them. The volume can be c

The volume formula for a cone can be used to find an unknown radius when the volume and height are known. This is useful when determining the dimensio

A sphere is a perfectly round 3D shape, such as a basketball, a globe, or a marble. Finding its volume tells us how much space it contains. This is us

A dilation is a transformation that changes the size of a figure while preserving its shape. The figure may become larger or smaller, but its overall

A dilation changes the size of a figure while keeping its shape the same. When the scale factor is greater than 1, the figure becomes larger. Dilation

A dilation changes the size of a figure while keeping its shape the same. When the scale factor is less than 1, the figure becomes smaller. Dilations

Have you ever zoomed in on a picture and then moved it to a new spot on your screen? In math, that is similar to combining a dilation and a translatio

Similar figures are figures that have the same shape but not necessarily the same size. One figure may be an enlarged or reduced version of another. W

Have you ever enlarged a photo on your phone or seen a map that shows a smaller version of a real place? These are examples of similar figures. Simila