Lesson 7 Quadrilaterals: Beyond Definition Practice Understanding

Ready

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.

Use transformations to justify each statement.

13.

For parallelogram , the diagonals bisect each other.

Parallelogram ABCD with diagonals

14.

For rhombus , the opposite angles are congruent.

Rhombus PQRS

Go

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

15.

Reflection

a blank 17 by 17 grid

16.

Rotation

a blank 17 by 17 grid

17.

Translation

a blank 17 by 17 grid

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.

18.

a.

Graph:

a blank 17 by 17 grid

b.

Slope:

c.

Distance:

19.

a.

Graph:

a blank 17 by 17 grid

b.

Slope:

c.

Distance: