A(n) ___________ is a location. It has neither size nor shape, only position.
point
What geometric figures do the pages of a book represent?
Planes
Find the length of line UW if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
8.9 centimeters
Points A and B are plotted on a number line. What is the location of M, the midpoint of line AB, for A at -9 and B at 28?
9.5
On a number line, point S is located at -3 and point T is located at 9. Where is point R located on line ST if the ration of SR to RT is 3:4?
15/7
_____________ points are points that lie on the same line.
Collinear
Use the figure to name all planes containing point W.
A. plane VWY
B. plane VWX
C. plane RYV
D. plane VWZ
E. plane RYX
C. plane RYV
Use the following information to find k. Write the value of the variable.
6
Find the y-coordinate of point M, the midpoint of line AB, for A(-3, 3) and B(5, 7).
5
Points A and B are plotted on a number line at -4 and 3, respectively. Find the coordinate of the point that represents the weighted average of A and B if point A has a weight of 2 and point B has a weight of 5.
1
The ___________ of a segment is the point halfway between the endpointsof the segment.
midpoint
Draw and label a figure.
Lines s and t intersect, and line v does not intersect either one.
Answers Varies
On a straight highway, the distance from Loretta's house to a park is 43 miles. Her friend Jamal lives along this same highway between Loretta's house and the park. The distance from Loretta's house to Jamal's house is 31 miles. How many miles is it from Jamal's house to the park?
12 miles
FInd the value of x if Q is the midpoint of line PR
11
Alonso plans to go to the animal shelter to adopt a dog and then take the dog to Precious Pup Grooming Services. The shelter is located at (-1, 9) on the coordinate plane, while Precious Pup Grooming Services is located at (11, 0) on the coordinate plane. FInd the location of Alonso's home if the ratio of the distance of the shelter to his home to the distance of his home to Precious Pup Grooming is 1:2.
(3, 6)
Two segments that have the same length are ____________
Congruent
Draw and label a figure.
LInes q and f intersect at point Z in plane U.
Answer varies
Madison live between Anoa and James. The distance between Anola's house and Madison's house is represented by 3x + 2 miles, the distance between Madison's house and James' house is represented by 3x + 4 miles, and the distance between Anoa's house and James' house is represented by 9x - 3 miles. Find the value of x. Then find the distance bewteen Madison's house and James' house.
x = 3
distance = 13 miles
Find the measure of line YZ if Y is the midpoint of XZ.
10
Find the coordinates of the point that represents the weighted average of C and D of point C weighs fours times as much as point D.
B
For any two point A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + CB = AB. This relationship is called _______________
betweenness of points
If the surface of a lake represents a plane, what geometric term is prepresented by the intersection of a fishing line and the lake's surface?
a point
A carpenter has a piece of wood that is 78 inches long. He wants to cut it so one piece is five times as long as the other piece. What are the lengths of the two pieces?
13, 65
Find the coordinates of A if M(6, -1) is the midpoint of line AB, and B has the coordinates (8, -7).
A(4, 5)
Points E, F, and G are plotted on the number line at -1, 2, and 6, respectively. Find the coordinate of the point that represents the weighted average of E, F, and G, if point E weighs twice as much as point F and point G weighs three times as much as point F.
3