Enrichment on Lesson One

Enrichment on Lesson One Reflections Using a Mira (Geomirror)

Name______period______date______

1. Proper use of a Mira: a. Place the center edge of the Mira so that it is aligned with the line of reflection, line r. b. Look into the Mira to see the reflection image of the face. c. Hold the top of the Mira with one hand while you trace the reflected image on the paper behind the Mira.

2. More fun with the Mira. a. Print your name on the broken line below the line of reflection, line t, given below. b. Align the Mira on the line of reflection and see the reflection image of your name. c. Hold the top of the Mira with one hand while you trace the reflected image on the paper behind the Mira. d. Have you ever seen a work displayed as its reflection image?(hint: You might notice while driving) e. When and for what purpose was this displayed?

3. Discovery Activity. Given : Line a and line b are parallel. The quadrilateral is trapezoid ABCD .

1. Reflect trapezoid ABCD over line a to form trapezoid A’B’C’D’ using your Mira. 2. Draw and label trapezoid A’B’C’D’. 3. Connect point B to point B’ using a straight edge. Label the point where segment BB’ intersects line a , point W. 4. Connect point C to point C’ using a straight edge. Label the point where segment CC’ intersects line a , point X. 5. Connect point D to point D’ using a straight edge. Label the point where segment DD’ intersects line a , point Y. 6. Connect point A to point A’ using a straight edge. Label the point where segment AA’ intersects line a , point Z. 7. With your cm ruler measure the following segments to the nearest tenth of a cm. Write your answers in the chart below.

Measure of segment BW = cm Measure of segment B’W = cm Measure of segment CX = cm Measure of segment C’X= cm Measure of segment DY = cm Measure of segment D’Y= cm Measure of segment AZ = cm Measure of segment A’Z= cm

8. How would you describe the points W, X, Y, and Z in relation to the segments BB’,CC’, DD’, AA’, that you drew?______9. Reflect trapezoid A’B’C’D’ over line b to form trapezoid A’’B’’C’’D’’ using your Mira. 10. Draw and label trapezoid A’’B’’C’’D’’. 11. How does trapezoid ABCD compare to trapezoid A”B”C”D”?

12. What conclusion could you make about reflecting a figure over parallel lines?