Ch. 7 Definitions
Ch. 7 Problems
Ch. 10 Definitions
Ch. 10 Problems
100
One of the four areas into which the x-axis and the y-axis divide a Cartesian Coordinate system.
What is a quadrant?
100
The translation given by [-3, 7].
What is 3 units left, and 7 units up?
100
Two angles whose sum is 180 degrees.
What are supplementary angles?
100
The type of triangle seen here, classified according to its side lengths and its angles (name the angle first!).
What is an obtuse scalene triangle?
200
The name of the location where the x-axis and y-axis intersect on a coordinate grid.
What is the origin?
200
The name and location of Point P(1, 5) after a reflection in the x-axis.
What is P'(1, -5)?
200
The name of the relationship used to describe the side lengths of a right triangle.
What is Pythagoras' (or Pythagorean) Theorem?
200
Angle x and 60o are known as these types of angles, and the measure of angle x.
What are alternate angles, and 60 degrees?
300
The type of transformation that changes the size of a figure by a scale factor.
What is a dilation?
300
The location of Point A(-4, 5) after a rotation 90o counter-clockwise about the origin, and then undergoing a translation given by (x+2, y).
What is (-3, -4)?
After rotation: A' (-5, -4) <--Quadrant 3
After translation: A'' (-3, -4) <-- Translation says move 2 units right
300
A straight line that intersects two or more parallel lines.
What is a transversal?
300
The name and measure of side length c in this right triangle.
What is the hypotenuse, and 20 units?
400
A new shape that is created when a shape is transformed.
What is an image?
400
The original coordinates of the vertices of a triangle that has been dilated by a factor of 4. The coordinates of the vertices of the image triangle are:
(0, 4), (-2, 1), (8, -4) No fractions, please!
What are (0, 1), (-0.5, 0.25), (2, -1)?
Solution: Think backwards; divide the coordinates by 4.
400
Non-adjacent angles that are formed by two intersecting lines. These angles are equal in measure.
What are opposite angles?
400
The value of angle x in this five-sided polygon.
What is
Solution:
1) Sum of the interior angles = 180o (n - 2)
= 180o (5 - 2)
= 180o (3)
= 540o
2) x = 540o - (112o + 113o + 117o + 100o)
x = 98o
500
An ordered pair of integers used to represent the horizontal and vertical moves that describe a translation; for example, [-2, 5].
What is a translation vector?
500
Two possible locations of the third vertex of triangle PQR, given that:
- The endpoints of its base are (1, 5) and (-3, 5)
- Triangle PQR is an isosceles triangle
- Triangle PQR has a height of 4 units
Give the coordinates of the locations, please.
What are (-1,9) or (-1,1)?
500
Two pairs of angles located on the same side of a transversal, but inside the parallel lines.
What are co-interior angles?
500
The value of angle x is this diagram. Note the parallel lines!
What is 65 degrees?
Solution:
1) Find the measure of the angle in the top right corner of the triangle (use opposite angles). The angle measures 39o.
2) Find the sum of the two interior angles (i.e. 76o + 39o = 115o).
3) Find the measure of the third angle (using the sum of the interior angles of a triangle). I.e. 180o - 115o = 65o
4) Find the measure of angle x (use opposite angles). Angle x measures 65o.