Geometry Review

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

How do you simplify a radical expression?

Back

To simplify a radical, factor the number under the radical into its prime factors and look for pairs of factors.

Front

What defines a right triangle?

Back

A right triangle is defined as a triangle that has one angle measuring 90 degrees.

Front

What are the types of triangles based on angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Front

What are the types of triangles based on sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal).

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle are equal.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for congruence of right triangles based on the hypotenuse and one leg being equal.

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What is the difference between a rhombus and a rectangle?

Back

A rhombus has all sides equal and opposite angles equal, while a rectangle has opposite sides equal and all angles are right angles.

Front

What is an acute scalene triangle?

Back

An acute scalene triangle is a triangle where all angles are less than 90 degrees and all sides are of different lengths.