Isosceles Triangle Construction
Task
Construct an isosceles triangle by following the construction steps provided below.
Explore the construction by dragging the vertices.
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Instructions
1. | | Select the Segment tool. Click twice in the Graphics View in order to create two points A and B, and a segment between them. Label the points. |
2. | Activate the Perpendicular Line tool. Create a line that is the perpendicular bisector to segment AB and runs through the midpoint. Hint: Select segment AB in order to create the perpendicular bisector of the line. | |
3. | | Select the Point tool and create point C on the perpendicular bisector. Label the point. |
4. | | Select the Segment tool and construct a segment between points A and C. Find the measure of segment AC. |
5. | | Select the Segment tool and construct a segment between points B and C. Find the measure of segment BC. |
6. | | Select the Point tool and create the midpoint D on segment AB. Label the point. |
7. | Select the Distance or Length tool. Find the measure of the segments AD and BD. |