# Lesson 7Quadrilaterals: Beyond DefinitionPractice Understanding

### 1.

What do you know about two figures if they are congruent?

### 2.

What do you need to know about two figures to be convinced the two figures are congruent?

### 3.

What do you know about two figures if they are similar?

### 4.

What do you need to know about two figures to be convinced the two figures are similar?

## Set

Using the information given, determine the most precise classification of the quadrilateral.

### 5.

Has rotational symmetry.

### 6.

Has rotational symmetry.

### 7.

Has two lines of symmetry that are diagonals.

### 8.

Has two lines of symmetry that are not diagonals.

### 9.

Has congruent diagonals.

### 10.

Has diagonals that bisect each other.

### 11.

Has diagonals that are perpendicular.

### 12.

Has congruent angles.

Use transformations to justify each statement.

Provide informal justification, using transformations, for the attributes of the given quadrilaterals.

### 13.

For parallelogram , the diagonals bisect each other.

### 14.

For rhombus , the opposite angles are congruent.

## Go

Define each rigid transformation. Draw an example on the grid that shows the key features of each transformation.

Reflection

Rotation

### 17.

Translation

For problems 18 and 19:

• Graph each pair of points.

• Find the slope between the points.

• Find the distance between the points using the Pythagorean theorem.

Distances should be represented in exact form.

Graph:

Slope:

Distance:

Graph:

Slope:

Distance: