AnswersGeometryFigures in the Coordinate Plane

Figures in the Coordinate Plane — Quiz Answers

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1
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
B
Use the distance formula to find the length of each side, and then add the lengths.
C
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
D
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
2
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What additional information would prove that DEFG is an isosceles trapezoid?

A
line segment EF is congruent to line segment GF
B
line segment DE is congruent to line segment DG
C
line segment EF is congruent to line segment DG
D
line segment DE is congruent to line segment GF
3

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

A
open paren 1 comma 0 close paren
B
open paren 1 comma 1 close paren
C
open paren 1 comma negative 1 close paren
D
open paren 0 comma 1 close paren
4

Triangle ABC is an isosceles triangle in which AB is equal to AC What is the perimeter of triangle ABC ?

A
10 plus square root of 10 units
B
5 plus square root of 10 units
C
3 square root of 10 units
D
15 units
5

Which statement proves that parallelogram KLMN is a rhombus?

A
The midpoint of both diagonals is open paren 4 comma 4 close paren .
B
The slope of line segment KM is 1 and the slope of line segment NL is negative 1 .
C
The length of line segment KM is square root of 72 and the length of line segment NL is square root of 8 .
D
The slopes of line segment LM and line segment KN are both 1 half and NK is equal to ML is equal to square root of 20 .
6

What is the perimeter of triangle LMN ?

A
6 plus square root of 10 units
B
8 units
C
8 plus square root of 10 units
D
9 units
7

In the diagram, AB is equal to 10 and AC is equal to 2 square root of 10 What is the perimeter of triangle ABC ?

A
20 units
B
10 units
C
20 plus 2 square root of 10 units
D
10 plus 2 square root of 10 units
8

Which statement proves that quadrilateral JKLM is a kite?

A
angle cap m is a right angle and line segment MK bisects angle LMJ .
B
LM is equal to JM is equal to 3 and JK is equal to LK is equal to square root of 17 .
C
line segment MK intersects line segment LJ at its midpoint.
D
The slope of line segment MK is negative 1 and the slope of line segment LJ is 1 .
9

What additional information would prove that LMNP is a rectangle?

A
line segment LM is parallel to line segment PN
B
The slope of line segment LP and line segment MN is negative 2 .
C
line segment LP perpendicular to line segment PN
D
The length of line segment LM is square root of 45 and the length of line segment MN is square root of 5 .
10

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

A
The midpoint of both diagonals is open paren 4 and 1 half comma 5 and 1 half close paren , the slope of line segment RP is 7 , and the slope of line segment SQ is negative 1 seventh .
B
The length of line segment SQ and line segment RP are both square root of 50 .
C
The length of line segment SP , line segment PQ , line segment RQ , and line segment SR are each 5 .
D
The slope of line segment SP and line segment RQ is negative 4 thirds and the slope of line segment SR and line segment PQ is 3 fourths .

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Figures in the Coordinate Plane — Quiz Answers —…