WorksheetsCoordinate Geometry ATLAS Practice GGF6-10
Total questions: 25
Worksheet time: 26mins
Rectangle ABCD is graphed on a coordinate grid, as shown. What is the area of ABCD, in square units?
(a)
A rectangle has vertices at (-5, 1), (-2, 5), (3, -5), and (6, -1) on the coordinate plane. What is the area, in square units, of the rectangle?
20 square units
40 square units
50 square units
60 square units
What is the area, in square units, of rectangle RSTU?
8
8√2
16
12√2
A triangle is shown. What is the perimeter, in units, of the triangle? Round your answer to the nearest hundredth.
(a)
Triangle MNO has the vertices shown.
- M (−8, 1)
- N (−4, 4)
- O (−2, 1)
What is the area of triangle MNO, in square units?
(a)
A triangle has vertices at A (2, 2), B (5, 7), and C (8, 2). What is the exact perimeter, in units, of the triangle?
Triangle ABC is plotted on a coordinate grid. The coordinates of triangle ABC are shown.
A(−1.5, 4)
B(7, 0.5)
C(1, −2)
What is the perimeter of triangle ABC? Round your answer to the nearest hundredth, if necessary.
(a)
What is the perimeter of FGHJ?
413+297
82+613
34
Not enough information
The diagonals of parallelogram
ABCD intersect at P. Which
statements must be true? Select all
that apply
AP ≅ CP
BC ≅ AD
∠ABC = 90°
∠CAD ≅ ∠ACB
The diagonals of quadrilateral
WXYZ intersect at R. If R is the
midpoint of WY and XZ, which
additional statement shows that
WXYZ is a rectangle?
WX = YZ
WY ⊥ XZ
∠WXY = 90
WR = XR
Which statements are true about
rhombuses? Select all that apply.
Opposite angles are congruent
Diagonals are perpendicular.
Diagonals are congruent
Opposite sides are parallel
Parallelogram ABCD; What is m∠BAC?
(a)
Which statements are true about
square EFGH? Select all that apply.
FP = 2(EG)
EP = EH
∠EFH = 45
FH ⊥ EG
Classify the figure.
Quadrilateral
rhombus
rectangle
parallelogram
The vertices of a parallelogram are 𝘈(−𝟤,𝟤), 𝘉(𝟦,𝟨), 𝘊(𝟨,𝟥), 𝘋(𝟢,−𝟣). Is ABCD a rhombus?
No, two sides of the parallelogram are not congruent.
yes, 4 sides are congruent
Yes; the slope of AB and BC are opposite reciprocals
yes; the slopes of AB an BC are equal
The vertices of a parallelogram are 𝘈(−𝟤,𝟤), 𝘉(𝟦,𝟨), 𝘊(𝟨,𝟥), 𝘋(𝟢,−𝟣). Is ABCD a rectangle?
No, two sides of the parallelogram are not congruent.
yes, 4 sides are congruent
Yes; the slope of AB and BC are opposite reciprocals
yes; the slopes of AB an BC are equal
The diagonals of Rectangle
ABCD intersect at P. Which
statements must be true? Select all
that apply
AP ≅ BP
b/c the diagonals bisect each other and are equal.
BC ∥ AD
b/c opposite sides are congruent
∠ABC = 90° b/c the diagonals are perpendicular.
∠CDA ≅ ∠CBA b/c opposite angles are congruent
∠CDA ≅ ∠DAB b/c consecutive angles are supplementary
Which statements are true about
square EFGH? Select all that apply.
FH = 2(EP)
GP = EH
ΔFPE ≅ ΔFGH
ΔFEH is an isosceles right triangle.
∠GHP = 45°
Find the measures of the numbered angles of the rhombus.
<1
22
<2
68
<3
68
<4
90
Match the following quadrilaterals with its most specific name.
square
parallalelogram
rhombus
quadrilateral
Give the most precise classification for the quadrilateral.
parallelogram
rhombus
square
rectangle
kite
Quadrilateral ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD?
Side CD has a length of 5 units.
Side BC has a length of 10 units.
Side DA has a length of 5 units.
Side AB has a length of 6 units.
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1, -1)
(1, 1)
(1, 0)
(0, 1)
Which statement proves that PQRS is a parallelogram?
The slopes of SP and RQ are both –2 and SP = RQ = 45 .
The slopes of RS and QP are both -3 and SP = RQ = 10
The midpoint of RP is (4, 5 1/2) and the slope of RP is -9/2.
The midpoint of SQ is (4, 5 1/2) and SQ = 5.
Which could be used to classify the quadrilateral?
All sides equal 37 ; so it could be a rhombus or a square
AB ⊥ CB, so it could be a rectangle or a square.
AC = BD, so it can't be a rhombus.
The slopes of the diagonals are opposite reciprocals, so it can not be a rectangle.
