Lesson 7 Quadrilaterals: Beyond Definition Practice 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?
Using the information given, determine the most precise classification of the quadrilateral.
5.
Has
6.
Has
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
14.
For rhombus
Define each rigid transformation. Draw an example on the grid that shows the key features of each transformation.
15.
Reflection
16.
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.
18.
a.
Graph:
b.
Slope:
c.
Distance:
19.
a.
Graph:
b.
Slope:
c.
Distance: