MA.912.GR.3.2

Quadrilateral ABCD has vertices at A(1,3), B(4, 4), C(3, 1), and D(0,0). What is the best classification for ABCD? ​ (a)  

• rhombus
• quadrilateral
• rectangle
• square
• trapezoid
• kite

Quadrilateral WXYZ has vertices at W(−6, −3), X(−4, 2), Y(1, 4), and Z(−1, −1). Classify the quadrilateral as a parallelogram, a rhombus, a rectangle, a square, or none. Select all that apply.

• Parallelogram

• Rhombus

• Rectangle

• Square

• None

Quadrilateral PQRS has vertices at P(−11,9), Q(2, 9), R(2, −4), and S(−11, −4). Choose the most precise classification and justify your decision.

• PQRS is a rectangle because PR bisects QS.

• PQRS is a parallelogram because PQ || RS and QR || PS.

• PQRS is a square because PQ = QR = RS = PS = 11.

• PQRS is a square because PQ = QR and PR ⊥ QS.

Jose and his friends Alana and Eric are planning a hike using a map of the campground. They will start from the nature center at A(0, 0) and then hike to the waterfall at B(10, 30). From there, they will walk to the river overlook at C(−50, 50) before heading back to the nature center. Assume that units are in yards. Use coordinate geometry to determine the type of triangle formed. ∆ABC is a triangle.

The triangle is ​​ (a)   and scalene.

• right
• actue
• obtuse
• isosceles
• equilateral
• parallel

The coordinates of the vertices of parallelogram JKLM are J(-3,5), K(0,-4), L(6,-2), and M(3,7).

The slopes of which line segments could be calculated to show that JKLM is a rectangle? (choose 2)

• JK

• KL

• JJ'

• JL

• KM

If the vertices of triangle ABC are A(−2,4), B(−2,8), and C(−5,6), then triangle ABC is classified as:
[Hint - sketch it out and/or use formulas!]

• isosceles

• scalene

• right

• equilateral

Are the opposite sides of figure EFGH parallel?

• No, the slope of EF is 1 and the slope of GH is -2

• Yes, both EF & GH have a slope of 1 and EH & FG have a slope of -2

If two lines have opposite reciprocal slopes, what can be said about the two lines?

• they are parallel

• they are perpendicular

• they are skew

• they intersect, but are not perpendicular

What is the name of the quadrilateral?

• Parallelogram

• Rectangle

• Rhombus

• Square

Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point(s) could be Norman's fourth point? Select all that apply

• ( 5,5 )
• ( 1,-1 )
• ( -1,3 )
• ( 2, -2 )

Tags

CCSS.4.G.A.1

CCSS.4.G.A.2