Angle Relationships
What is an acute angle?
An angle that has a measure more than 0 and less than 90 degrees.
What is the difference between parallel and perpendicular lines? Be specific about defining both.
Parallel lines are lines in a plane that never meet. Perpendicular lines intersect at exactly 90 degrees.
Explain the Triangle Sum Theorem.
The angle measures of a triangle add to 180 degrees.
Translations, Reflections, anf Rotations
Translations slide.
Reflections flip like a mirror.
Rotations turn or spin.
Who won the 2021 NCAA men's basketball tournament?
Baylor
Identify and name one straight angle in Figure A.
angle AEB
In Figure B, which line is the transversal?
Line C
Find the measure of y in Figure C.
53 degrees
In Figure D, what would the new ordered pair be of A' if it was translated 3 units left and 4 units up?
A' (-2, 3)
What type of triangle is the Federal Triangle?
Right Triangle
What is the difference between supplementary and complementary angles?
The sum of supplementary angles is 180 degrees and the sum of complementary angles is 90 degrees.
Name one set of alternate interior angles in Figure B.
angle 4 and angle 2
or
angle 3 and angle 5
Explain the Triangle Inequality Theorem.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
In figure D, what would the new ordered pair be for B' of the figure was rotated 90 degrees counter clockwise?
B' (3,1)
(multiply y by -1, and flip x and y coordinates)
How many years are in a century?
100
Identify and name two obtuse angles in Figure A.
angle CEA and angle DEB
What is the measure of angle 2 in Figure B? Justify your answer.
74 degrees... vertical angles
Use the Triangle Inequality Theorem to determine if the triangle can have sides with the given lengths.
6 ft, 10 ft, 3 ft
No... the sum of 6+3=9, which is less than 10
In Figure D, what would the new ordered pair be for C if it was reflected over the x-axis?
C' (4,3)
(multiply the y-coordinate by -1)
What is the National sport of Canada?
Ice Hockey
What is the measure of angle DEB in Figure A?
120 degrees
What is the measure of angle 6 in Figure B? Justify your answer.
74 degrees... alternate exterior angles.
The second angle in a triangle is one third as large as the first. The third angle is two-thirds as large as the first. Find the angle Measures.
30, 60, and 90 degrees
In Figure D, what would the new ordered pair be for a A after it is reflected across the y-axis and dilated by 2?
original- A(1,-1)
first image- A'(-1, -1)
final image- A"(-2, -2)
In what year was the first catholic school founded in America?
1606