Today we took Daily Quiz #23. It asked to draw a pair of similar figures and define what made them similar. If you read the night before you should recall that two figures are similar if (1)they are exactly the same shape or (2)if one of the figures can be rotated,translated, or reflected to coincide with the other figure. Knowing that hopefully everyone got a 5/5 on their quiz.
We also got our Daily Quiz #21(Area of a Circle) back and went over it in class.
C=7π/2 (We are given this) C=2πr (We know this) A=πr^2
First, you have to figure out the radius(r). Which turns out to be 7/4 feet. Knowing (r), plug
it in to the area equation to solve for the exact area. This turns out to be 49/16π feet squared.
It also asked to solve for the approximate value using π. The answer turns out to be 9.g feet
squared. Finally, it asked to find the area of a rectangle around the circle. Knowing that the diameter of the circle equals the length of the sides of the rectangle we can figure out the area if the rectangle. D=2r and r=7/4 feet so the radius diameter equals 7/2 feet. Know you can figure
out the area of the rectangle. A=bh which equals 49/4 feet squared.
We went over Chapter 7 but more specifically we went over Congruent Triangles. Triangles are
congruent when all corresponding sides and interior angles are congruent. The triangles
will have the same shape and size, but one may be a mirror image of the other.
To denotate congruent triangles with hashes or arcs you must have the same number on the
corresponding sides to show that they are congruent.
▲ABC≅▲DEF
- Congruency does not depend on orientation
- Congruent figures should be able to be rotated,translated, or reflected so all vertices sit atop each other when the shapes are placed on each other.
- The symbol to show two figures are congruent you use ≅
- The symbol to show that two figures are similar you use ~
The last thing we did was watch a video on YouTube about Similar Figures. Here's the link: http://www.youtube.com/watch?v=9IUI3jtSEWU
Don't forget to do the homework, Adios. (Next Scribe is Anna!)
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