Complete the following review activity.
In your math journal, write down the steps that you would follow to recreate the original triangle using AAS.
You will need to submit the following:
the steps that you would follow to recreate a triangle using a protractor, a string, and the AAS Congruence Theorem, written in your own words
At the end of the lesson you will need to submit the following:
a chart summarizing all of the postulates and theorems that can be used to prove two triangles congruent
the answers to six questions about recreating a triangle using a protractor, string, and the SSS, SAS, and ASA Congruence Postulates
three drawings of recreated triangles, with the string used to create the drawings taped to the appropriate drawing
a description of the steps that you would follow to recreate a triangle using a protractor, a string, and the AAS Congruence Theorem, written in your own words
To recreate a triangle using a protractor, a string, and the AAS Congruence Theorem, follow these steps:
1. Draw a line segment to represent one side of the triangle.
2. Use the protractor to measure an angle and mark a point on the line segment to represent the vertex of the angle.
3. Attach one end of the string to the marked point on the line segment.
4. Use the protractor to measure another angle and mark a point on the paper to represent the vertex of the angle.
5. Attach the other end of the string to the marked point on the paper, ensuring the string is taut.
6. Keeping the string taut, rotate it until it reaches the marked point on the line segment.
7. Mark the point of intersection between the string and the line segment. This will represent the second vertex of the triangle.
8. Draw a line segment connecting the two marked points on the line segment.
9. Measure the remaining angle of the triangle and mark a point on the paper to represent the vertex of the angle.
10. Draw a line segment connecting the two marked points on the paper.
11. The resulting figure is a recreated triangle congruent to the original triangle using AAS congruence.
For the chart summarizing all the postulates and theorems that can prove two triangles congruent, refer to your textbook or class notes. It should include postulates and theorems like SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), etc.
For the six questions about recreating a triangle using a protractor, string, and the SSS, SAS, and ASA Congruence Postulates, refer to the given questions and answer them based on the specific criteria provided.
For the three drawings of recreated triangles, complete the following steps:
1. Draw the first triangle, using the protractor, string, and the specified congruence postulate (SSS, SAS, or ASA).
2. Attach the string to the appropriate points on the first triangle that were used to create it.
3. Tape the string to the paper, making sure it is anchored securely.
4. Draw a second triangle using the string as a guide, connecting the points of the string to recreate the second triangle.
5. Repeat steps 2-4 for the third triangle.
Make sure to label each triangle accordingly (e.g. Triangle ABC, Triangle DEF, Triangle GHI) and keep track of which congruence postulate was used.
Remember, each drawing should accurately represent the recreated triangles, guided by the string.