Boot Camp Day 7: Coordinate Geometry

Decide whether parallelogram JKLM is a rectangle, a rhombus, or a square. Give all names that apply. J(5, 2), K(2, 5), L(−1, 2), M(2, −1)

Explain your reasoning.

• rectangle

• rhombus

• square

• The diagonals are congruent and perpendicular

• The diagonals are congruent and not perpendicular

Decide whether parallelogram JKLM is a rectangle, a rhombus, or a square. Give all names that apply. J(5, 2), K(1, 9), L(−3, 2), M(1, −5)

Explain your reasoning.

• rectangle

• rhombus

• square

• The diagonals are neither congruent nor perpendicular

• The diagonals are perpendicular and not congruent

Square ABCD has a diagonal AC with the given vertices. Find the coordinates of the remaining vertices. A(−3, 2) C(0, 5)

The coordinates are:

• (6, 5) and (-3, 8)

• (-3, 5) and (0, 2)

• (0, -1) and (3, 2)

Show that ABCD is a trapezoid. Then decide whether it is isosceles.

• Exactly one pair of parallel sides.

  Not Isosceles: AB is not congruent to DC

• Exactly one pair of parallel sides.

  Not Isosceles: AD is not congruent to BC

• Exactly one pair of parallel sides.

  Isosceles: AB is congruent to DC

• Exactly one pair of parallel sides.

  Isosceles: AD is congruent to BC

Find the perimeter of the polygon with the vertices

U(−2, 4), V (3, 4), W (3, −4)

Round your answer to the nearest hundredth.

(Enter a numerical answer only)

What is the area of the trapezoid?

• 20 square units

• 40 square units

• 90 square units

• 40 square units

• 202.5 square units

• 60 square units

The endpoints of the directed line segment ST are S (-3, -2) and T (4, 5). What are the coordinates of point P along segment ST so that the ratio of SP to PT is 3 to 4?

(enter answer as a coordinate with NO SPACES)

Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is 1 to 3.

• P (0.5, 2)

• P (1, 2)

• P (4.5, 4.5)

• P (2, 2.5)

The endpoints of AB are A (2, 5) and B (-4, 7). Find the coordinates of the midpoint.

• (3, -1)

• (-2, 12)

• (-1, 6)

• (3, 6)