Determine whether each statement is true or false. If it is false, provide a counterexample.
1.If a quadrilateral is equilateral, then it is equiangular.
2. If a quadrilateral is equiangular, then it is equilateral.
3. Every isosceles triangle has at least one line of symmetry.
4. Every equilateral triangle has exactly three lines of symmetry.
5. If two angles are not congruent, then the two angles are not right.
You can transform G to G' by translating it and then preforming a dilation centered at G'. Find the translation rule and the scale factor of the dilation.
Triangle ABC has vertices . Graph and its image after the indicated composite transformation.
First transformation: Translation: along
Second Transformation: Reflection across y-axis.
Coordinate of B after translation
B'( ?, ?).
Coordinate of B after Reflection
B''( ?, ?)
Scientists submerge a paddle wheel in a stream and watch its rotational speed to determine the current's speed. If the paddle wheel has radius 0.20 m and rotates at 100 rpm, find the speed of the current in m/s.
The value of the operation [8]+[6] in
Let
Getting Started: To prove that T is the zero transformation, you need to show that
(i) Let v be an arbitrary vector in V such that
(ii) Use the definition and properties of linear transformations to rewrite
(iii) Use the fact that
To determine.
The correct graph for the function