Finals REVIEW - part 2 Fall2024

Front

What is a congruence statement in geometry?

Back

A congruence statement indicates that two geometric figures are congruent, meaning they have the same shape and size. It is typically written in the form of \( \Delta ABC \cong \Delta DEF \).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point \((x, y)\) over the x-axis, you change the sign of the y-coordinate. The reflected point is \((x, -y)\).

Front

What is the result of the transformation (x,y) -> (x+1,y+2)?

Back

This transformation translates the point \((x, y)\) by 1 unit to the right and 2 units up.

Front

What does it mean for a shape to be symmetrical?

Back

A shape is symmetrical if it can be divided into two identical halves that are mirror images of each other.

Front

How many lines of symmetry does a square have?

Back

A square has 4 lines of symmetry: two diagonals and two lines that bisect the sides.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves points in the direction of a clock's hands, while counterclockwise rotation moves points in the opposite direction.

Front

What is the formula for finding the coordinates of a point after a reflection over the x-axis followed by a translation?

Back

If the original point is \((x, y)\), after reflection over the x-axis it becomes \((x, -y)\), and after translation \((x+1, -y+2)\).

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles indicates that the triangles have equal corresponding sides and angles, which can be used to prove various properties.

Front

What is the notation for congruence in triangles?

Back

The notation for congruence in triangles is represented by the symbol \( \cong \). For example, \( \Delta ABC \cong \Delta DEF \).