Lesson 2 You Say It’s the Same Solidify Understanding

Ready

Solve each equation for $x$ . Provide the justifications for each step. See the first example as a reminder for the types of justifications that might be used.

$3 x - 6 = 15$	Justification
$\begin{matrix} + 6 + 6 \\ \frac{3 x}{3} = \frac{21}{3} \\ x = 7 \end{matrix}$	Addition property of equality Division property of equality

$3 x - 6 = 15$

Justification

$\begin{matrix} + 6 + 6 \\ \frac{3 x}{3} = \frac{21}{3} \\ x = 7 \end{matrix}$

Addition property of equality

Division property of equality

1.

$6 x - 10 = 8$	Justification

2.

$5 = 3 x + 11$	Justification

3.

$6 - 2 x = 30$	Justification

4.

$5 x + 3 = x + 15$	Justification

5.

$5 x - 10 = 2 x + 14$	Justification

Set

Provide a specific sequence of transformations that would show how the congruent shapes can map onto each other.

6.

Sequence of transformations:

7.

Sequence of transformations:

Determine the triangle criteria that would justify the triangles being congruent based on the congruency marking provided on the triangles. If the congruency markings provided are not sufficient to prove the triangles congruent, then state they are not congruent.

8.

9.

10.

11.

12.

13.

Go

Consider each question with quadrilateral symmetries in mind.

14.

Draw the lines of symmetry for the rectangle.

15.

Provide the center of rotation and state the number of degrees of rotational symmetry

16.

Which quadrilateral does not have any lines of symmetry? Explain or show why it doesn’t.

17.

Draw the lines of symmetry for the rhombus.

18.

The definition of a rectangle is that is has four right angles. List as many other attributes as you think might be true about a rectangle.

19.

Fill in the graphic organizer based on the symmetries.