HW#5: Finish Blue WS on Distance and Midpoints
In textbook: p. 11: 1-9; p. 40:4-6, 9-13; p.44: 15-20; p.51: 1-10
For p. 11, remember to use the correct symbols. Go back to p. 4 for a review of the rules and symbols for naming figures, or look in your notes.
1.) Look carefully at the symbol above the letters. The figure is a line.
2.) Don’t forget when to use the arrows and endpoints, and look for examples of where the letters should go.
3-6.) Once again, look back to p. 4 for help in correct naming.
7.) b.) don’t forget the whole angle.
8.) Your description should be something like “Line XY intersects line AB at point G,” except the figures aren’t lines! Use the correct words, letters, and symbols!
9.) 3 collinear points can’t name a plane, because infinitely many planes go through 3 collinear points.
4.) What does the segment addition postulate allow you to say? Look at the “Understanding Segments” notes worksheet.
5.) Draw and label diagrams! Look at the “Understanding Segments” worksheet to help.
6.) Draw and label a diagram. Don’t forget the tick marks. A midpoint splits a segment in half (into two congruent parts; equal lengths).
9.) Can something that goes on forever have a midpoint?
10.) Label your diagram with valid lengths (illustrate for example, the idea that 7+3=10)
11.) To find the distance between two points, subtract them, and use the positive version of the answer.
12.) To find the midpoint of two numbers, average them (add and divide by two)
13.) These are meant to challenge you a little more, so give it your best shot! Reminder about taking some fraction of a number: Ex.) 1/2 of 8, you do 1/2 times 8, or 8/2.
On a number line, a distance is not a coordinate, you need to use the distance to add or subtract to some number to find a coordinate.
15.) You subtract and take the absolute value of your answer.
16.) I’m curious to see what you think, so I won’t say anything here. (Think outside the box though).
17.) Create a diagram, and then set up and solve an equation and then plug your answer back in.
18.) Use the given length to add or subtract it from the known coordinate.
19.) Between doesn’t mean midpoint! Create a diagram and then create and solve an equation from the given info.
20.) Same as 17!
1.) Self-explanatory, just don’t confuse your x’s and y’s.
2.) Just like we do in class!
3.) What are the coordinates of point R?
4.) a. This should be the distance between the x’s.
b. This should be the distance between the y’s.
c. Explain! Use words!
6.) You know because PQ is the hypotenuse of a triangle with lengths ___ and ____ found in 4a and 4b.
7.) Horizontal and vertical lines meet at a right angle.
8.) Certain pairs have one of their values in common.
9.) Use words! Explain! Show your steps and talk about them!
10.) You can look at your blue sheet if you need help with examples.
Sunday night I will post answers to more of these questions.
Email me at firstname.lastname@example.org and say, “Hey, I actually used this!” for a surprise in class.