Geometric Drawings

Warm Up You have been asked to build a scale model of our school Warm Up You have been asked to build a scale model of our school. Imagine the school is 30 feet tall. Your scale is 1 ft. : 1.26 cm If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? You are out of toothpicks, but have plenty of Q-tips. You measure them, and they are 7.6 cm tall. How many Q-tips tall will your model be?

Triangles Rulers, protractors, and compasses are all tools that can be used to draw geometric figures. A triangle consists of three line segments. A triangle consists of three angles whose sum is 180⁰. When only the angle measures are given, a unique triangle is not determined. All three side measures determine a unique triangle. Two angle measures and the included side determine a unique triangle. For any triangle, the sum of the measures of the two shorter segments must be greater than the measure of the third segment.

The triangle on the right was created with the line segments on the left. Will these line segments always create the same triangle?

For any triangle, the sum of the measures of the two shorter segments must be greater than the measure of the third segment. In the diagram on the right, the two shorter segments measure 2 and 3. Their sum is 5 which is greater than the longer side, 4. Would a line segments measuring 2, 3, and 6 units form a triangle? Would line segments measuring 2, 3, and 5 units form a triangle? Would line segments measuring 6, 7, and 12 units form a triangle?

Use the steps to draw triangle 2. Are the two triangles unique? Explain. Will a triangle be unique if you know all three angle measures, but no side measures?