Name the coordinates for the given point. Which quadrant is the point in?
The given point is plotted at (-5, 2). The point is in Quadrant 2 of the coordinate plane.
Plot each pair of points on a coordinate plane. Connect the points to form a line segment and find its length.
1.) A(6,2) and B(6, -3)
2.) C(-4,0) and D(3,0)
1.) The line segment is 5 units in length.
What is a reflection?
When a figure is reflected over a given line, the resulting figure is called its reflection.
The reflection is the mirror image of the original figure and the line of reflection is the mirror.
If you were able to fold the picture along the line of reflection, the original figure and its reflection would align perfectly.
List the coordinates for each point on the triangle. Name each point.
Answers will vary.
Example: T(1,3); R(5,3); I(3,7)
Plot each pair of points on a coordinate plane. Connect the points to form a line segment and find its length.
1.) J(0,2) and K(0, -3)
2.)M(4,-1) and N(4, -4)
1.)The length of the line segment is 5 units.
2.)The length of the line segment is 3 units.
What is a linear graph?
A graph that creates a straight line.
List the coordinates for each point, A, B and C.
If you connected the points in order what shape would be made?
A (6,8); B (-6, 2); C (4, -4)
The shape that is made is an equilateral triangle.
Square EFHG is plotted on a coordinate plane. The coordinates of point E are (-2,1) and the coordinates of point F are (2,1). Find the coordinates of points G and H given these conditions:
a.) Points G and H are above points E and F.
b.) Points G and H are below points E and F.
a.)Point H(2,5) and G(-2,5)
b.)Point H(2,-3) and G (-2,-3)
What are the names of the sections of the coordinate plane? Draw a diagram and label each section with the correct name.
Plot the given points on a coordinate plane and name the figure that is formed.
P(0,0); Q(4,3); R(3,6); S(-1,3)The figure formed is a parallelogram.
In the diagram, figure ABC represents a playground. The side length of each grid square is 4 yards. Use the diagram to answer the following questions.
1.)Give the coordinates of A, B, and C.
2.)There is a square sandbox DEFG in the playground. Point D is 20 yards from point A. Line segment DE is 8 yards in length. Line segment EF is also 8 yards in length and is parallel to line segment AC. Plot and label points D, E, F and G on the coordinate plane. What are their coordinates?
1.) A(-20, 20); B(20,20); C(-20,8)
2.)D(0,20); E(8,20); F(8,12); and G(0,12)
What are the three different types of angles? Describe each type of angle.
The three types of angles are obtuse, acute and right.
An obtuse angle is any angle that is larger than 90 degrees but smaller than 180 degrees. An acute angle is any angle smaller than 90 degrees. A right angle is exactly 90 degrees.
Name the coordinates for each point A - F.
A(-4, -2); B(2 , -5); C(-3, 4); D(1,5); E(5,0);
F(-1, 0)
1.a.)Plot each set of points on a coordinate plane. Then join the points in order with line segments to form a closed figure and label it. Name each figure that is formed. There are three figures.
b,)Find the area of figures ABCD, EFGH, and JKMN if each unit on the coordinate plane represents 1 centimeter.
c.)What is the relationship between the area of each of the figures?
a.) All three figures are squares.
b.)The are of ABCD is 2 square centimeters. The area of EFGH is 8 square centimeters. The area of JKMN is 18 square centimeters.
c.) The area of each figure is 2 times larger than the previous figure.
What are the four types of triangles? Describe each type of triangle.
The four types of triangles are equilateral, isosceles, scalene, and right triangles.
An equilateral triangle has three equal sides and three equal angles. An isosceles triangle has two equal sides and the two base angles are also equal. Scalene triangles have all different angles and side lengths. Finally, a right triangle has one angle that is exactly 90 degrees.
Hint: You can remember scalene is all different sizes because scales measure all different sizes.