Measure segments on the coordinate plane. Use algebra to calculate lengths of segments.
Postulate: A rule accepted without proof.
Congruent: Equal measure
Expression: Combination of variables, numbers and arithmetic operations. There is no equal sign.
Question 1
1.
Plot the following points in the coordinate plane.
A(1,-1), B(1,1), C(3,-4), D(5,-4)
Click the graph tab.
Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Question 2
2.
In question #2 determine whether
Enter 'yes' or 'no.'
Question 3
3.
Plot the following points in the coordinate plane.
A(-7,1), B(-4,1), C(3,-5), D(3,-2)
Click the graph tab.
Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Question 4
4.
In question #4 determine whether
Enter 'yes' or 'no.'
Question 5
5.
Find the length of ST.
Question 6
6.
Find the length of ST.
Question 7
7.
Find the length of ST.
Question 8
8.
The 2014 Winter Olympic Games were held in Sochi, Russia. The distance between Washington, D.C. and Rome is about 4480 miles. The distance between Washington, DC and Sochi is about 5500 miles. What is the distance between Rome and Sochi?
Question 9
9.
Hint: Write an expression only, this is NOT an equation. You DO NOT have to solve for x!
Question 10
10.
Hint: Write an expression only, this is NOT an equation. You DO NOT have to solve for y!
Question 11
11.
Point R is between Q and S on line segment QS. Write an equation, then solve for x.
Hint: Sketch a picture and label what you know.
QR=13+2x
RS=12
QS=x+32
Complete the following questions as your exit ticket. Show me what you have learned!
Question 12
12.
Find BD.
Question 13
13.
Graph the following points. Are AB and CD congruent?
A(1,3), B(1,-3), C(3,-2), D(-3,-2)
Click the graph tab.
Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
Question 14
14.
For line segment AC, Point B is in between points A and C. Write an equation in terms of x, then solve for x.
AB = 2x+10
BC = x-4
AC = 21
Question 15
15.
What is the distance between Provo and Albuquerque?
Question 16
16.
EXTENSION:
QU = 240, SU=100 and RS=ST=TU. Find the measure of RS.
Question 17
17.
EXTENSION:
QU = 240, SU=100 and RS=ST=TU. Find the measure of RU.
Question 18
18.
EXTENSION:
QU = 240, SU=100 and RS=ST=TU. Find the measure of QT.
Question 19
19.
Rate your understanding on using algebra to measure segments.