What's Your Angle?
Polygons or Bust
The "X" Factor
Transfor-
mtions
Congruent and Similar polygons!
100
Complementary angles ______________? Supplementary angles ______________?
Complementary add up to 90 degrees. Supplementary add up to 180 degrees.
100
Can a triangle have the measure given? If so, classify the triangle by its sides. 30, 45 and 105 degrees.
yes, they add up to 180 degrees. It's a Scalene triangle -- all angles are different so all sides are different as well.
100
Quadrilateral with angle measures of 42, 96, 104 and x. What is the value of x?
What is 118 degrees.
100
Name 3 types of transformations.
What is reflection, translation and rotation.
100
Similar polygons and __________ angle measures and ______________ side lengths.
What is equal angle measures and proportional side lengths.
200
Name the angle in Diagram #2 in three different ways.
What is angle DEF, angle FED and angle E
200
Classify the triangle in Diagram #5 by side and also by angles.
What is Isosceles and acute?
200
a triangle's angles measure 80, x+10 and x. Solve for x and find the missing angles.
x = 45, x+10 = 55
200
Name the transformation in Figure 16. If it is a reflection, be sure to tell which axis it is on.
What is reflection over the x-axis.
200
What and how is the scale factor used in similar polygons?
The scale factor tells how the new polygon compares to the original (bigger or smaller). You multiply the scale factor "k" by every coordinate (both x and y) to get the new coordinates.
300
Using Diagram 4, what is the measure of angles 1, 2, and 3?
Angle 1 is 38 degrees; and Angles 2 and 3 are 142 degrees each.
300
Classify the polygon in Diagram #7 in
It is a rectangle, a parallelogram, a quadrilateral and a polygon.
300
What is the value of x in Diagram #10?
What is 110 degrees.
300
Quadrilateral RSTU has vertices R(3,4), S(6,1), T(5, -3) and U(2, -4). Find the vertices after the translation (x, y) -- (x-6, y+4)
What is R'(-3, 8), S'(0, 5), T'(-1, 1), U'(-4, 0)
300
In Diagram 15, triangle ABC is similar to FGH. Find the value of x.
What is 20 ft.
400
Look at Diagram #14. If the measure of <3 = 32 degrees, what do angles 1, 4 and 6 measure?
m<4 = 32; m<1 and m<6 = 58 degrees each
400
What is an 7-sided figure called? What is the sum of the angle measures?
What is heptagon, 900 degrees.
400
Using Diagram #13, find the value of x and the unknown angles.
x = 12; the angles measure 36 degrees each because they are vertical.
400
Write the coordinates for the triangle ABC after a 90 degree rotation clockwise. A(2, 0); B(4, -2); C(1, -4)
What is A'(0, -2); B'(-2, -4); C'(-4, -1)
400
In diagram #14, explain how you know the triangles are congruent, then solve for x.
They are congruent by the rule of side-angle-side and x = 3 meters
500
Using diagram 11, find the measure of all the unknown angles.
What is m<1, 3, 4, 7 is 149 degrees the measure of angles 2, 5 and 6 is 31 degrees
500
An N-sided figure has an interior angle measure of what? Use an algebraic equation.
What is (n-2) x 180
500
Find the value of x and the unknown angle measures in Diagram #12.
What is x = 48; m
500
Write the coordinates for the triangle ABC when reflected on the x-axis. A(3, -4); B(2, 0); C(2, 5).
What is A'(3, 4); B'(0, -2); C'(5. -2)
500
Tell what the new coordinates would be after dilation by the scale factor k = 3/4: A(8, 8); B(-4, 4), C(4, 0)
What is A'(6, 6); B'(-3, 3); C(3,0)