Geometry 1st Sem Review 24 25

Front

What is the definition of similar triangles?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the midpoint formula?

Back

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

Front

How do you calculate the midpoint between (-4,7) and (6, 13)?

Back

Using the midpoint formula: M = ((-4 + 6)/2, (7 + 13)/2) = (1, 10).

Front

What is the corresponding angle postulate?

Back

The corresponding angle postulate states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the alternate exterior angle theorem?

Back

The alternate exterior angle theorem states that if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is equal.

Front

What is a translation vector?

Back

A translation vector describes the direction and distance of a translation in a coordinate plane, represented as .

Front

How do you find the translation vector from A(10, 5) to A'(7, 8)?

Back

The translation vector is found by subtracting the coordinates: <7 - 10, 8 - 5> = <-3, 3>.

Front

What is the relationship between height and shadow length in similar triangles?

Back

In similar triangles, the ratio of the heights of two objects is equal to the ratio of their shadow lengths.