Practice Test Geometric Test
Chapter 3
Practice Test Geometric Test
Purchase this Material for $4
You need to sign up or log in to purchase.
Solutions 13 Videos

Which of these triangles have at least two medians that are equal in length? Justify your choices.

Buy to View

Which of the triangles have a median that is also an altitude? Justify your choices.

Buy to View

Sketch an example of each of these types of quadrilateral. Show the diagonals on each sketch and indicate whether they are equal in length and whether they bisect each other.

a) square

b) rectangle

c) parallelogram

d) rhombus

e) trapezoid

f) quadrilateral with no equal sides

Buy to View

Show that two of the altitudes of an isosceles triangle are equal in length.

Buy to View

a) Verify that \triangle ABC is isosceles.

b) Verify that the centroid of \triangle ABC lies at (6, -1).

Buy to View

a) Show that the triangle with vertices D(-2, 5), E(-4, 1), and F(2, 3) is a right triangle.

b) Verify that the midpoint of the hypotenuse of \triangle DEF is equidistant from all three vertices.

Buy to View

Use analytic geometry to verify that quadrilateral JKLM is a rhombus.

Buy to View

a) Find the midpoint of each side of the quadrilateral with vertices P(-3, 8), Q(1, 10), R(5, 6), and S(7, -4).

b) Show that joining the midpoints of the adjacent sides of PQRS forms a parallelogram.

Buy to View

a) Verify that C(5, 2) is the centre of the circle that passes through points T(5, 15), U(17, -3), and V(-8, 2).

b) Find the radius of the circle.

Buy to View

Verify that quadrilateral ABCD is not an isosceles trapezoid.

Buy to View

a) Verify that quadrilateral PQRS is a rhombus.

b) Verify that the diagonals of PQRS bisect each other.

c) Verify that the diagonals of PQRS meet at right angles.

Buy to View

A new hospital will serve the four small towns shown on the map. Where would you build the hospital? Justify this location.

Buy to View

The vertices of \triangle EFG are E(-3, 5), F(0, -1), and G(6, 5).

a) Find the coordinates of the point of intersection of the medians of \triangle EFG.

b) Find the coordinates of the point of intersection of the right bisectors of the sides of \triangle EFG.

c) Find the coordinates of the point of intersection of the altitudes of \triangle EFG.

d) Verify that these three points of intersection are collinear.

Buy to View