Welcome to your Grade 11 Mathematics chapter 6
After carefully reading the following 30 questions, choose the correct answer.
1.
A transformation that moves every point of a figure the same distance in the same direction is:
2.
A translation by a vector v=(h,k) maps a point P(x,y) to P′(x′,y′) where:
3.
In a reflection across the x-axis, the point (x,y) is mapped to:
4.
A reflection across the y-axis maps (x,y) to:
5.
A reflection across the line y=x maps (x,y) to:
6.
A rotation of 90∘ counterclockwise about the origin maps (x,y) to:
7.
A rotation of 180∘ about the origin maps (x,y) to:
8.
A rotation of 270∘ counterclockwise about the origin maps (x,y) to:
9.
Which of the following is an isometry (rigid motion)?
10.
In a reflection, the line of reflection is the:
11.
An isometry is a transformation that preserves:
12.
The composition of two translations is a:
13.
A reflection across the line y=−x maps (x,y) to:
14.
A transformation is called a linear transformation if it:
15.
The matrix for a reflection across the x-axis is:
16.
The matrix for a rotation of θ counterclockwise about the origin is:
17.
Which of the following is NOT a property of translation?
18.
A glide reflection is a composition of a reflection and a:
19.
The inverse of a translation by v is a translation by:
20.
If a figure is reflected twice across two parallel lines, the result is a:
21.
If a figure is reflected across two intersecting lines, the result is a:
22.
A translation is a direct isometry because it:
23.
A reflection is an indirect isometry because it:
24.
What is the image of (2,3) under a translation by (−1,4)?
25.
The point (3,−5) reflected across the y-axis becomes:
26.
Rotating a point (x,y) by 360∘ results in:
27.
Every point on the line of reflection is:
28.
The point (1,2) rotated 90∘ counterclockwise about the origin is:
29.
A transformation T is an isometry if for any two points P and Q:
30.
The identity transformation maps every point to:
