1. What is the distance between points D(-10,2) and E(6,10)?А. 16В. 20С. 102D. 8V52. A map is drawn on a grid where 1 unit is equivalent to 2 km. On the samemap, the coordinates of the point corresponding to San Rafael is (1,4).Suppose San Quintin is 20 km away from San Rafael. Which of thefollowing could be the coordinates of the point corresponding to SanRafael?В. (17,10)С. (9,10)D. (- 15,16)3. What figure is formed when the points K(-2,10), L(8,8), M(6,2), and N(-4,4)A. (17,6)are connected consecutively?A. TrapezoidRectanglecoordinatesB. ParallelogramC. SquareD.oftheverticesofrectangle4. TheaareW(-2,6), 1(10,6), N(10,–3), and D(-2,-3). What is the length of adiagonal of the rectangle ?A. 15В. 12С. 9D. 7.55. What proof uses figures on a coordinate plane to prove geometricproperties?A. indirect proofB. direct proofC. coordinate proofD. two- column proof

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What is the distance between points D(-10,2) and E(6, 10)? А. 16 В. 20 С. 10/2 D. 8V5

Elementary Geometry For College Students, 7e

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ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

1. What is the distance between points D(-10,2) and E(6,10)?
А. 16
В. 20
С. 102
D. 8V5
2. A map is drawn on a grid where 1 unit is equivalent to 2 km. On the same
map, the coordinates of the point corresponding to San Rafael is (1,4).
Suppose San Quintin is 20 km away from San Rafael. Which of the
following could be the coordinates of the point corresponding to San
Rafael?
В. (17,10)
С. (9,10)
D. (- 15,16)
3. What figure is formed when the points K(-2,10), L(8,8), M(6,2), and N(-4,4)
A. (17,6)
are connected consecutively?
A. Trapezoid
Rectangle
coordinates
B. Parallelogram
C. Square
D.
of
the
vertices
of
rectangle
4. The
a
are
W(-2,6), 1(10,6), N(10,–3), and D(-2,-3). What is the length of a
diagonal of the rectangle ?
A. 15
В. 12
С. 9
D. 7.5
5. What proof uses figures on a coordinate plane to prove geometric
properties?
A. indirect proof
B. direct proof
C. coordinate proof
D. two- column proof

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