Geometry 1st Semester Review

Front

What is the relationship between the lengths of shadows cast by similar triangles?

Back

The lengths of the shadows are proportional to the heights of the objects casting them.

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadow lengths of the objects, then solve for the unknown height.

Front

What is the definition of a centroid in a triangle?

Back

The centroid is the point where the three medians of the triangle intersect, and it divides each median into a 2:1 ratio.

Front

If angle 6 is 25 degrees, what is the relationship between angle 6 and angle 7 if they are supplementary?

Back

Angle 7 would be 180 - 25 = 155 degrees.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for finding the length of a median in a triangle?

Back

The length of a median can be found using the formula: m = 1/2√(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Front

What is the significance of the centroid in relation to the triangle's area?

Back

The centroid divides the triangle into three smaller triangles of equal area.

Front

How do you write the equation of a line parallel to a given line?

Back

Use the same slope as the given line and the point through which the new line passes to write the equation in point-slope form.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.