Unit 1 Quiz 1_Triangles in the Coordinate Plane Quiz

Which expression represents the area of triangle ABC?

• ((CM)(AB))2

• ((GC)(AB))/2

• ((GC)(BC))/2

• ((BC)(AC))/2

What is the slope of the altitude drawn from A to BC? (Use GeoGebra for visual stimulation)

• 1/3

• 5

• -5/2

• 3

The coordinates of the vertices of RST are

R(−2,−3), S(8,2), and T(4,5). Which type of triangle is triangle RST? (Use GeoGebra for Visual Stimulation)

• right

• acute

• obtuse

• equiangular

Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). The triangle may be classified as ........ (Use GeoGebra for the visual stimulation.)

• equilateral

• isosceles

• right

• scalene

Which type of triangle can be drawn using the points (-2,3), (-2,-7), and (4,-5)? (Use GeoGebra for Visual Stimulation.)

• no triangle can be drawn

• scalene

• isosceles

• equilateral

If the vertices of a triangle ABC are A(-2,4), B(-2,8), and C(-5,6), then the triangle ABC is classified as ....... (Use GeoGebra for Visual Stimulation)

• right

• equilateral

• scalene

• isosceles

The vertices of a ∆ABC are A(-1,-2), B(-1,2) and C(6,0). Which conclusion can be made about the angles of this ∆ABC? (Use GeoGebra for visual stimulation)

• m∠A = m∠C

• m∠ABC = 60

• m∠A = m∠B

• m∠ACB = 90

On the set of axes, ∆DEF has vertices at the

coordinates D(1,−1), E(3,4), and F(4,2), and point

G has coordinates (3,1). Owen claims the median from point E must pass through point G. Is Owen correct? Explain why. (Use GeoGebra for Visual Stimulation)

• Yes, because the midpoint of DF is (-2,-2)

• Yes, because the slopes of BC and DE are opposite reciprocals

• No, because the slopes of BC and DE are equal

• No, because the midpoint of DF is (3,1)

Triangle RST has vertices with coordinates R(-3,-2), S(3,2) and T(4,-4). Determine and state an equation of the line parallel to RT that passes through point S. (Use GeoGebra for Visual Stimulation)

• y = x + 5

• y = x - 5

• y = -x + 5

Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value of x that would make triangle ABC a right triangle. Justify why ABC is a right triangle.

• x = 2, because the slopes of AB and BC are opposite reciprocals

• x = -2, because the slopes of AB and BC are opposite reciprocals

• x = 0, because the slopes of AB and BC are equal

• x = 3, because the slopes of AB and BC are equal