You will use GeoGebra to classify triangles by measuring their sides and angles. To get started, open GeoGebra and complete each
step below. If you need help, follow these instructions for using GeoGebra. Question 1 Mark the points (10, 14), (15, 11.11), and (10, 8.22). Enter the coordinates in the input window, if you wish. Then connect the points to form a triangle.
1 answer:
To measure and classify our triangle we are going to perform the following steps:
Step 1. Open GeoGebra or GeoGebra geometry and enter the input of the three points of our triangle.
Step 2. In the measure menu, choose the distance tool and select tow points in our triangle to measure the distance of one side; repeat the process for the other two sides.
Step 3. In the measure menu, choose the angle tool and select three points in our triangle to measure the angle between the three points; repeat the process for the other two angles.
Step 4. After performing the previous steps, we end with a triangle of three equal sides of 5.8 units and three equal angles of 60°. Since all the sides and angles in our triangle are equal, we have an equilateral triangle.
We can conclude that the triangle with coordinates <span>(10, 14), (15, 11.11), and (10, 8.22) is an equilateral triangle.</span>
Step 1. Open GeoGebra or GeoGebra geometry and enter the input of the three points of our triangle.
Step 2. In the measure menu, choose the distance tool and select tow points in our triangle to measure the distance of one side; repeat the process for the other two sides.
Step 3. In the measure menu, choose the angle tool and select three points in our triangle to measure the angle between the three points; repeat the process for the other two angles.
Step 4. After performing the previous steps, we end with a triangle of three equal sides of 5.8 units and three equal angles of 60°. Since all the sides and angles in our triangle are equal, we have an equilateral triangle.
We can conclude that the triangle with coordinates <span>(10, 14), (15, 11.11), and (10, 8.22) is an equilateral triangle.</span>
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Answer:
(-18,9)
Step-by-step explanation (work shown in picture attached):
1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation
2) Now, substitute for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.
3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).
