Geometry A Unit 4

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of two corresponding sides of two similar figures.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you determine the number of lines of symmetry in a shape?

Back

To determine the number of lines of symmetry, you can fold the shape along a line and see if both halves match perfectly. Each matching fold represents a line of symmetry.

Front

If two triangles are similar, how can you find a missing side length?

Back

You can use the properties of similar triangles, which state that the ratios of the lengths of corresponding sides are equal. Set up a proportion to solve for the missing side.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a theorem that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

How do you find the perimeter of a polygon?

Back

To find the perimeter of a polygon, add the lengths of all its sides together.

Front

What is a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.