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 coordinate plane with x- and y-axis with 1-unit increments with Line AB with slope of 4/3 and A(0,-1) and Line A'B' with slope of 4/3 and A',(0,-5) x–5–5–5555y–5–5–5555000

a.

Description of transformation:

b.

Equation for the pre-image:

c.

Equation for the image:

2.

A coordinate plane with x- and y-axis with 1-unit increments with Line AB with slope of -3/2 intersecting with Line A'B' with slope of 3/2 at (0,1). x–5–5–5555y–5–5–5555000

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

3.

A coordinate plane with x- and y-axis with 1-unit increments with Line GH with slope of -1/3 and G(1,2) and Line G'H' with slope of -1/3 and G',(-6,2) x–5–5–5555y–5–5–5555000

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

4.

A coordinate plane with x- and y-axis with 1-unit increments with Line PM with slope of -1/2 intersecting with Line P'M' with slope of 2 at (-2,-4). x–5–5–5555y–5–5–5555000

a.

Description of transformation:

b.

Equation for pre-image:

c.

Equation for image:

Set

5.

Construct a parallelogram, given sides and and .

Angle Y with sides; line segment YZ and line segment YX

6.

Construct a line parallel to and through point .

Line QT with Point R above the line

7.

Given segment , show all points such that is an isosceles triangle.

Line segment AB

8.

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

Line segment AB

9.

Construct an equilateral triangle inscribed inside the circle.

Circle with center point

Go

10.

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

Step 1 has 5 dots around one dot making a star. In Step 2 there is an extra dot added to each point of the star. Step 3 adds a third dot to each point of the star Step 1Step 2Step 3

11.

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

5 dots in the shape of a pentagon with a center dot and an additional dot added to the outside of each "vertex" of the pentagon shape. Step 1Step 2Step 3

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

12.

Step

Value

13.

14.