8.1.10.2 Triangle Plus One

Let’s use reasoning about rigid transformations to find measurements without measuring.
[size=150]Here is triangle [size=100][math]ABC.[/math][br][br][img]https://cdn.fs.learnzillioncdn.com/o0tiETqNTry4sUpygheG?dl=true&policy=eyJjYWxsIjoicmVhZCxjb252ZXJ0IiwiaGFuZGxlIjoibzB0aUVUcU5Ucnk0c1VweWdoZUciLCJleHBpcnkiOjE4OTM0NTYwMDB9&signature=e3d27271a966652fdb3ea110aa1f66233bd6d59f32b659d66575388d7d005132[/img][br][/size][/size]
Spend time exploring the tools bar and see what occurs. Select points, angles, line segments, and the entire triangle. Try to locate the tools for rotating, reflecting, translating the triangle.
Draw the midpoint of side AC
1. Find the midpoint tool. [icon]/images/ggb/toolbar/mode_mirroratpoint.png[/icon][br]2. Use the rotate tool [icon]/images/ggb/toolbar/mode_angle.png[/icon]Rotate triangle [i]ABC[/i] 180 degrees using center b to form triangle [i]C'B'A'[/i]. [br][br]
What does your figure look like?
Check your work here!
What kind of quadrilateral is ABCD? Explain how you know.
Look back at the triangle as it is rotated.
What happens to points [math]A[/math]and [math]C[/math] under a rotation?
Look at the new polygon made as a result of the rotation.
How do you know that the lines containing opposite sides of ABCDare parallel?
Compare the area of triangle ABC to the area of polygon ABCD.
How is the area of parallelogram ABCD related to the area of triangle ABC?
Triangle plus Two
The picture shows 3 triangles. Triangle 2 and Triangle 3 are images of Triangle 1 under rigid transformations.[br][br][br][img]https://cdn.fs.learnzillioncdn.com/ZSC6IBovRoC9PQGVv7Cy?dl=true&policy=eyJjYWxsIjoicmVhZCxjb252ZXJ0IiwiaGFuZGxlIjoiWlNDNklCb3ZSb0M5UFFHVnY3Q3kiLCJleHBpcnkiOjE4OTM0NTYwMDB9&signature=cd62f34622a67ff0ae31d84c73ca11e1b0e19e97d491ae3ceb0f963c2ec6f736[/img][br][br]Describe a rigid transformation that takes Triangle 1 to Triangle 2. What points in Triangle 2 correspond to points A, B, and C in the original triangle?
Triangle plus Two
The picture shows 3 triangles. Triangle 2 and Triangle 3 are images of Triangle 1 under rigid transformations.[br][br][br][img]https://cdn.fs.learnzillioncdn.com/ZSC6IBovRoC9PQGVv7Cy?dl=true&policy=eyJjYWxsIjoicmVhZCxjb252ZXJ0IiwiaGFuZGxlIjoiWlNDNklCb3ZSb0M5UFFHVnY3Q3kiLCJleHBpcnkiOjE4OTM0NTYwMDB9&signature=cd62f34622a67ff0ae31d84c73ca11e1b0e19e97d491ae3ceb0f963c2ec6f736[/img][br][br]Describe a series of rigid transformations that takes Triangle 1 to Triangle 3. What points in Triangle 3 correspond to points A, B, and C in the original triangle? Compare your answer to the sample when you are done. Can you add some of the vocabulary to enhance your written description?
Triangle plus Two: Side Length Exploration
The picture shows 3 triangles. Triangle 2 and Triangle 3 are images of Triangle 1 under rigid transformations.[br][br][br][img]https://cdn.fs.learnzillioncdn.com/ZSC6IBovRoC9PQGVv7Cy?dl=true&policy=eyJjYWxsIjoicmVhZCxjb252ZXJ0IiwiaGFuZGxlIjoiWlNDNklCb3ZSb0M5UFFHVnY3Q3kiLCJleHBpcnkiOjE4OTM0NTYwMDB9&signature=cd62f34622a67ff0ae31d84c73ca11e1b0e19e97d491ae3ceb0f963c2ec6f736[/img][br][br][size=150]Find two pairs of line segments in the diagram that are the same length, and explain how you know they are the same length.[/size][br][br]Compare your answer to the sample when you are done. Can you add some of the vocabulary to enhance your written description?
Triangle plus Two: Angle Exploration
The picture shows 3 triangles. Triangle 2 and Triangle 3 are images of Triangle 1 under rigid transformations.[br][br][br][img]https://cdn.fs.learnzillioncdn.com/ZSC6IBovRoC9PQGVv7Cy?dl=true&policy=eyJjYWxsIjoicmVhZCxjb252ZXJ0IiwiaGFuZGxlIjoiWlNDNklCb3ZSb0M5UFFHVnY3Q3kiLCJleHBpcnkiOjE4OTM0NTYwMDB9&signature=cd62f34622a67ff0ae31d84c73ca11e1b0e19e97d491ae3ceb0f963c2ec6f736[/img][br][br][size=150]Find two pairs of angles in the diagram that have the same measure, and explain how you know they have the same measure.[/size][br][br]Compare your answer to the sample when you are done. Can you add some of the vocabulary to enhance your written description?
Close
– elishevacarl, jennifer.r.peter

Information: 8.1.10.2 Triangle Plus One