Geometry 1st Sem Review 24 25

Front

Calculate the midpoint between two points (x1, y1) and (x2, y2).

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the Angle Bisector Theorem?

Back

The angle bisector theorem states that the angle bisector of an angle in a triangle divides the opposite side into two segments that are proportional to the lengths of the other two sides.

Front

Define parallel lines in geometry.

Back

Parallel lines are lines in a plane that do not intersect or touch each other at any point, no matter how far they are extended.

Front

What is the Corresponding Angle Postulate?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

How do you determine if two triangles are similar using the AA Similarity Postulate?

Back

Two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = (1/2) * base * height.

Front

Explain the concept of similar triangles.

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the relationship between the lengths of shadows and heights of objects?

Back

The lengths of shadows are proportional to the heights of the objects casting them, assuming the light source is at the same angle.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

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

Back

If two triangles are similar, the ratio of their corresponding heights is equal to the ratio of their corresponding bases.