1.
Identify
the coordinates of Nâ€™ if N(2,-1) is reflected through the x-axis
Correct Answer
A. (2, 1)
Explanation
When a point is reflected through the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. In this case, the y-coordinate of N is -1, so when it is reflected through the x-axis, the sign of -1 changes to positive, resulting in a y-coordinate of 1. The x-coordinate remains 2. Therefore, the coordinates of N' are (2, 1).
2.
After
a reflection, the image of X(3,4) is Xâ€™(-3,4).
Therefore, the line of reflection is
Correct Answer
B. The y-axis
Explanation
After reflecting the point X(3,4) to X'(-3,4), we can observe that the x-coordinate of the point remains the same while the y-coordinate changes its sign. This indicates that the reflection is happening along the y-axis, which acts as a mirror. Therefore, the correct answer is the y-axis.
3.
Another word for 'flip' is
Correct Answer
B. Reflection
Explanation
The correct answer is "Reflection" because flipping refers to the action of reversing or inverting an object along a line, which is exactly what reflection means. Rotation refers to the act of turning or spinning an object around a fixed point, while translation refers to the process of moving an object from one place to another. Therefore, neither rotation nor translation can be considered as synonyms for "flip".
4.
Radius of a _________ is the distance from the center of the circle to any point on it's circumference.
Correct Answer
A. Circle
Explanation
The radius of a circle is the distance from the center of the circle to any point on its circumference.
5.
A triangle has three sides with the total _______ angle.
Correct Answer
D. 180 degree
Explanation
A triangle has three sides, and the sum of the interior angles of a triangle is always 180 degrees. Therefore, the correct answer is 180 degrees.
6.
A hexagon has ________ sides.
Correct Answer
C. 6
Explanation
A hexagon is a polygon with six sides.
7.
A pentagon has ________ sides.
Correct Answer
B. 5
Explanation
A pentagon has five sides. A pentagon is a polygon with five straight sides and five angles. The prefix "penta" means five, so a pentagon is specifically defined as having five sides.
8.
A nonagon has ______ sides
Correct Answer
D. 9
Explanation
A nonagon is a polygon that has nine sides.
9.
Another word for 'turn' is
Correct Answer
A. Rotation
Explanation
Rotation is the correct answer because it is a synonym for the word "turn". When something rotates, it moves or spins around a central point or axis. This action is commonly referred to as a turn. Therefore, rotation is another word that can be used to describe a turn.
10.
Another word for 'slide' is
Correct Answer
C. Translation
Explanation
The word 'slide' refers to the movement of an object in a straight line without any rotation or reflection. Translation is the correct answer because it means shifting or moving something in a straight line without changing its orientation. Rotation involves turning or spinning an object around a fixed point, while reflection is the flipping of an object over a line. Therefore, neither rotation nor reflection can be considered as synonyms for 'slide'.