Geometry 1
What are the three Transformations we have seen in class?
Translation, Rotation and Reflection.
How many degrees in a right angle?
90
How many degrees in an acute angle?
Less than 90
How many degree in an obtuse angle?
More than 90 and less than 180
How many degrees in a straight angle?
180
What do you need to know before to do a Translation?
The guiding line.
List the kinds of angles.
Acute, obtuse, right and straight
What changes after you do a rigid transformation?
The position of the shape
What remains the same when you do a rigid transformation?
The shape and the size.
Explain one way to prove that two angles are congruent without using a measuring tool or tracing paper.
If the shapes they are were the result of a rigid transformation.
What do you need to know before you do a Reflection?
The mirror or axis of reflection.
What is a bisector?
A line that divide an object in two equal or congruent parts.
How many angles are formed when two parallel lines are crossed by a transversal?
Eight
What are vertical angles?
Angles that share the vertex and the sides.
What is the sum of the interior angles of any triangle?
180 degrees
What do you need to know before to do a Rotation?
The angle, the direction and the center of rotation.
What do you call a pair of lines that cross in a right angle?
Perpendicular lines
Draw an example of alternate interior angles.
Picture
Draw a pair of vertical angles.
Picture
How can you prove that the sum of the interior angles of any triangle is 180 degrees?
By using rigid transformations and forming a straight angle.
What directions are for a rotation?
Clockwise and counter clockwise
What do you call a pair of lines that never cross and are in the same plane?
Parallel lines
How are alternate interior angles when you compare them?
Find the size of all the angles formed by a transversal crossing two parallel lines if one of the angles is 20 degrees. Draw a picture.
20 and 160. Student must draw a picture.
What tools do you need to perform a rotation of a triangle on the plane?
Ruler. tracing paper, compass and protractor.