Geometry End of Year Review

Front

What is the effect of dilating a triangle by a scale factor of ⅓ on its perimeter?

Back

The perimeter of the new triangle is ⅓ that of the original triangle.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

Which set of side lengths does NOT form a right triangle?

Back

10, 11, and 14.

Front

What does the Side-Angle-Side (SAS) postulate state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

How do you find the midpoint of a segment with endpoints A(x1, y1) and B(x2, y2)?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the relationship between the scale factor of a dilation and the areas of the original and new shapes?

Back

The area of the new shape is the square of the scale factor times the area of the original shape.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is a congruent triangle?

Back

Triangles that are identical in shape and size, having equal corresponding sides and angles.

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.