Geo X Chapters 3 and 1 Part 1 Review

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the angle of rotation that maps a regular polygon back onto itself?

Back

For a regular polygon with n sides, the angle of rotation is 360°/n. For a regular hexagon, this angle is 60°.

Front

What is the formula to find the endpoint of a segment given one endpoint and the midpoint?

Back

If A(x1, y1) is one endpoint and M(xm, ym) is the midpoint, then the other endpoint B(x2, y2) can be found using the formulas: x2 = 2*xm - x1 and y2 = 2*ym - y1.

Front

If an angle measures 3 degrees more than twice its supplement, how do you set up the equation?

Back

Let x be the angle. The supplement is 180° - x. The equation is x = 2(180° - x) + 3.

Front

What is the result of translating a point (x, y) down by 4 units and then reflecting it across the y-axis?

Back

The translation results in (x, y-4) and the reflection across the y-axis changes it to (-x, y-4).

Front

Define a line of symmetry.

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and angles equal.

Front

How do you find the supplement of an angle?

Back

The supplement of an angle x is found using the formula: 180° - x.

Front

What is the relationship between an angle and its supplement?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the midpoint formula?

Back

The midpoint M of a segment with endpoints A(x1, y1) and B(x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).