8th Grade - Geometry Review

Front

What is the formula for calculating the length of a line segment between two points (x1, y1) and (x2, y2) in a coordinate plane?

Back

The length of the line segment is given by the formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Tags

CCSS.HSG.GPE.B.7

Front

What are the three types of transformations in geometry?

Back

The three types of transformations are translation, rotation, and reflection.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for two lines to be parallel in geometry?

Back

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How do you perform a translation on a point in the coordinate plane?

Back

To translate a point (x, y), you add a specific value to the x-coordinate and a specific value to the y-coordinate. For example, translating (x, y) by (a, b) results in the new point (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation around the origin transforms a point (x, y) to the new point (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

When two parallel lines are cut by a transversal, corresponding angles are equal.

Tags

CCSS.8.G.A.5

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the new coordinates of a point after a vertical translation?

Back

To find the new coordinates after a vertical translation, add or subtract the translation value from the y-coordinate of the original point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Tags

CCSS.HSG.CO.A.2

Front

What is the significance of the Pythagorean theorem in geometry?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: \(a^2 + b^2 = c^2\).

Tags

CCSS.8.G.B.8