Geometry Lesson 4.1 Translations

Explore Translations with GeoGebra
Watch the video to learn how to create a translation in GeoGebra. After completing your translation, answer the questions.
THE STEPS IN VIDEO:
DETAILED STEPS:
[b]1.[/b] Construct a triangle ABC with the [b]"Polygon"[/b] tool. [icon]/images/ggb/toolbar/mode_polygon.png[/icon][br][b][br]2.[/b] Construct a translation arrow (a vector) with the [b]"Vector"[/b] tool. [icon]/images/ggb/toolbar/mode_vector.png[/icon][br][b][br]3.[/b] Construct the translation of your preimage with the [b]"Translation"[/b] [icon]/images/ggb/toolbar/mode_vectorfrompoint.png[/icon] tool and change the color of your image.[br][br][b]4.[/b] Connect the vertices A and A', B and B' then C and C' with the [b]"Straight"[/b] [icon]/images/ggb/toolbar/mode_join.png[/icon] tool and transform your lines into dotted lines.[br][br][b]5.[/b] Display the measurements of the segments AA', BB', CC', and the vector measurement with the [b]"Distance or Length"[/b] tool. [icon]/images/ggb/toolbar/mode_distance.png[/icon][br][br][b]6.[/b] Display the measurements of the 3 sides of your preimage and image with the [b]"Distance or Length"[/b] tool. [icon]/images/ggb/toolbar/mode_distance.png[/icon][br][br][b]7.[/b] Modify the length and orientation of your vector with the [b]"Move"[/b] tool. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon]Observe what happens.[br][b][br]8. Edit your preimage with the [/b][b]"Move"[/b] tool. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon]Observe what happens.[br][br]9. Use the "[b]Angle[/b]" tool to measure each interior angle of the pre-image and image.[br]
BUILD YOUR TRANSLATION HERE:
QUESTION 1
Change the length and direction of the vector. What do you notice about the relationship between the [b]corresponding vertices[/b] of the pre-image and image?
QUESTION 2
Change the shape of your preimage. What do you notice about the relationship between the [b]corresponding angle measures[/b] of the pre-image and image?
QUESTION 3
Change the shape of your preimage. What do you notice about the relationship between the [b]corresponding side lengths[/b] of the pre-image and image?
QUESTION 4
Change the vector and the shape of the preimage. What do you notice about the relationship between the [b]dashed lines[/b] connecting the pre-image and image vertices?
Close

Information: Geometry Lesson 4.1 Translations