Review for major test

2/22/2017
Prebell
Identify a sequence of transformations that will
transform figure 𝑨 into figure 𝑩.
Describe a sequence of
transformations that would show that
βˆ†π΄π΅πΆ is congruent to βˆ†π‘ƒπ‘„π‘….
y
10
9
8
7
C
6
5
4
3
A
2
B
1
Q
P
–10 –9
–8
–7
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6
7
8
9
10
x
–2
R
–3
–4
–5
–6
–7
–8
–9
–10
Samantha and Mario were both given the
coordinates: 𝑃(βˆ’1, 4), 𝑄(βˆ’5, 4), 𝑅(βˆ’6, 2)
and 𝑆(βˆ’2, 2) for parallelogram 𝑃𝑄𝑅𝑆.
y
10
9
8
7
6
5
4
3
2
1
–10 –9
–8
–7
–6
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
8
9
10
x
Trevor rotated the triangle 90° counterclockwise
about the origin to create figure 𝑇′𝑉′𝐸′. What
are the coordinates of the vertices of figure
𝑇′𝑉′𝐸′ after the rotation?
They were told to
translate the
parallelogram: (π‘₯, 𝑦) β†’
(π‘₯ + 6, 𝑦 + 1)
(parallelogram 𝑃′𝑄′𝑅′𝑆′)
and then reflect it over
the π‘₯ – axis, and label the
new parallelogram:
𝑃′′𝑄′′𝑅′′𝑆′′.
–9
–10
What is the image of 𝐴 when triangle
𝑆𝐴𝑉 is translated 4 units down and 5
units right?
Triangle 𝐺𝑁𝑄 in the coordinate plane below will
be rotated 90° clockwise about the origin. What
are the coordinates of the image of point 𝐺?
1
2/22/2017
The point (βˆ’6, 14) is a vertex of a
trapezoid. When the trapezoid is reflected
over the π‘₯ – axis, what are coordinates of
the image of the vertex?
A transformation maps a pre-image triangle to the
image triangle shown in the coordinate plane below. If
the pre-image triangle is reflected over the 𝑦 – axis to
get the image triangle, what are the coordinates of the
vertices of the pre-image triangle?
The transformation below maps triangle 𝐻𝐽𝑋
onto triangle 𝐻′𝐽′𝑋′ using a rotation. Are the
pre-image and image congruent? Explain your
reasoning.
Trapezoid 𝐼𝐽𝑅𝑇 is shown in the coordinate plane below.
Trapezoid 𝐴𝐡𝐢𝐷 (NOT SHOWN) has coordinates
𝐴 βˆ’5, 2 , 𝐡 βˆ’5, 3 , 𝐢 βˆ’4, 4 , 𝐷(βˆ’3, 4). Determine
whether or not trapezoid 𝐼𝐽𝑅𝑇 is congruent to
trapezoid 𝐴𝐡𝐢𝐷.
Write a rule to describe each
transformation.
Write a rule to describe each
transformation.
2
2/22/2017
Write a rule to describe each
transformation.
Find the missing angle
Find the missing angle
Finding the missing angle
Find x
Find the length of the diagnol
3
2/22/2017
Find the length of the diagnol
Linear or nonlinear
What is a perfect cube?
What is a perfect square?
4