Lesson 2 More Things Under Construction Solidify Understanding

Ready

For problems 1–4, describe the transformation, then write the equations of the lines.

1.

a.

Description of transformation:

b.

Equation for the pre-image:

c.

Equation for the image:

2.

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

3.

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

4.

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

Set

5.

Construct a parallelogram, given sides $\overset{―}{X Y}$ and $\overset{―}{Y Z}$ and $∠ X Y Z$ .

6.

Construct a line parallel to $\overset{―}{Q T}$ and through point $R$ .

7.

Given segment $A B$ , show all points $C$ such that $△ A B C$ is an isosceles triangle.

8.

Given segment $A B$ , show all the possible places point $C$ could be placed so that $△ A B C$ is a right triangle. (Hint: Consider the right angle of the triangle at any of the three vertices.)

9.

Construct an equilateral triangle inscribed inside the circle.

Go

10.

Find an explicit function rule and a recursive rule for the number of dots in step $n$ .

11.

Find an explicit function rule and a recursive rule for the number of squares in step $n$ .

Find an explicit function rule and a recursive rule for the values in each table.

12.

Step	Value
$1$	$1$
$2$	$11$
$3$	$21$
$4$	$31$

13.

$n$	$f (n)$
$2$	$16$
$3$	$8$
$4$	$4$
$5$	$2$

14.

$n$	$f (n)$
$1$	$- 5$
$2$	$25$
$3$	$- 125$
$4$	$625$