Name_____________________________________
Week 2
Class_______
Directions: Below are 5 short answer practice final questions. All 5 questions are to be
completed on this paper after each question. This assignment is due Friday. Each question will be
worth 2 points. (Each week is a 10 point quiz) Credit will only be given if the questions are
completely right. There will be no partial credit awarded.
1.) Must be done on graph paper and stapled to this sheet.
Given: ΔFGH with vertices F(-2, 3), G(-4, -5) and H(6, -1)
a.) Graph and label ΔFGH.
b.) Find the coordinates of A, the midpoint of FH , and B, the midpoint of FG .
c.) Show that BA || GH
d.) Show that BA = 1/2 GH
2.) In the diagram below, NIT is a straight line and ray IB is drawn. If m<NIB = 3x + 10 and
m<BIT = 9x - 22, find m<NIB.
B
N
I
T
3.) In the drawing below, lines NL and BE intersect at O. If m< NOE = 6x + 12 and the
m<BOL = 10x - 40, find m<NOE.
N
B
O
E
L
4. In the proof below, complete each reason.
Given: BD  AC
D is the midpoint of AC
Prove: AB  CB
B
Statements
1. D is the midpoint of AC
2. AD  CD
A
Reasons
1.) Given
2.)
3. BD  AC
4. <1 and <2 are right angles
3.) Given
4.)
5. <1  <2
6. BD  BD
7. ∆ABD  ∆CBD
8. AB  CB
5.)
6.)
7.)
8.)
1 2
D
C
5. Must be done on graph paper and STAPLED to this sheet.
Given: ∆ABC with coordinates A(2, 3), B(4, 1), C(5, 4)
a) Graph and label ∆ABC
b) Graph and state the coordinates of ∆A'B'C', the image of ∆ABC after a translation T3, 2
c) Graph and state the coordinates of ∆A"B"C", the image of ∆ABC after a reflection in the
yaxis.
d) Graph and state the coordinates of ∆A'''B'''C''', the image of ∆ABC after a dilation of
D2 .
Name__________________________________________
Homework: Line Reflections
Class____________
Ms. Lanci
For all of the following, please show all work.
1. The vertices of triangle ABC are A (1,4) B (3,0) and C (-3,-4). Find A’B’C’ when triangle ABC
is reflected in
a) the x – axis
b) the y – axis
2. Find the image of the point (5,7) under a reflection in the line
a) y = x
b) y = -x
3. The vertices of triangle DEF are D (3,4) E (4,1) and F (6,3). If triangle DEF is reflected in the
line whose equation is x = 2, find the coordinates of the images D’
E’ and F’.
4. The vertices of triangle RST are R (0,0) S (1,2) and T (4,1). If triangle RST is reflected in the
line whose equation is y = 3, find the coordinates of R’, S’ and T’.
5. The coordinates of endpoints of line segment AB are A (-3,-1) and B (1,-3). When line segment
AB is reflected in the line y = -4, find the coordinates of A’ and B’.
6. If the coordinates of the endpoints of a line segment are labeled W(5,-2) and Z (7,1), what are
the coordinates of W’ and Z’ when the line is reflected in the line x = 3.
Homework: Point Reflections
1. What are the coordinates of A’ when A(-5,7) is reflected through the origin?
2. When A is reflected through point P, its image is A’. If the coordinates of A(3,6) and the
coordinates of A’(-5,8), find the coordinates of P.
3. Given A(-4,2) and P(-1, 4). When A is reflected through point P, find the coordinates of the
image of A, A’.
Homework: Rotations
1. Rotate the following points under the given rotation:
Rotate 90°
(12,4)  __________
Rotate 180°
(8,-11)  ____________
Rotate 270°
(9,6)  ______________
Rotate 360°
(-3,7)  _____________
Rotate -360° (-10,-2)  ___________
Rotate -270° (-1,-5)  _____________
Rotate -180° (-4,7)  ______________
Rotate -90°
(3,-1)  _____________
2. When D (-6,-2) is rotated counterclockwise to D’(6,2), what is the degree of rotation?
3. When M(2,-3) is rotated clockwise to M’(-3,-2), what is the degree of rotation?
4. What is the degree of rotation when point B(7,-1) is rotated counterclockwise to its image
B’(1,7)?
5. When A(-6,3) is rotated counterclockwise to A’(-6,3), name one of the degrees in which it has
been rotated.
Part II Questions: Done on Graph Papers with all Mappings
1. a) Graph triangle ABC with vertices A(1,2) B(4,2) and C(3,5).
b) Graph and state the coordinates of triangle A' B' C' , the image of triangle ABC after a
reflection in the y-axis.
c) Graph and state the coordinates of triangle A" B"C" , the image of triangle ABC after a
Rot 270 .
d) Graph and state the coordinates of triangle A' ' ' B' ' ' C' ' ' , the image of triangle ABC after a
T  2 , 3 .
2.. a) Graph triangle ABC with vertices A(3,1) B(4,3) and C(6,1).
b) Graph and state the coordinates of triangle A' B' C' , the image of triangle ABC after a
reflection in the line y = x.
c) Graph and state the coordinates of triangle A" B" C" , the image of triangle A' B' C' after a 90
degree rotation about the origin.
d) Graph and state the coordinates of triangle A' ' ' B' ' ' C' ' ' , the image of triangle A" B"C" after a
reflection through the origin.
Homework: Transformation Rules
______1. When the point (2, -5) is reflected in the x-axis what are the coordinates of its image?
(1) (2,5)
(2) (5,2)
(3) (-2, 5)
(4) (-5,2)
______2. A 90 degree rotation maps (5, 3) to its image
(1) (3, -5)
(2) (3,5)
(3) (-3,5)
(4) (5,-3)
______3. If a dilation of (-2,4) is mapped to its image (1, -2), what is the scale factor?
(1) -1/2
(2) 2
(3) 1/2
(4) -2
______4. When point (-2,5) is reflected in the line x = 1, the image is
(1) (5,2)
(2) (4,5)
(3) (-2,-3)
(4) (0,5)
______5. What is the image of (5,1) under a counterclockwise rotation of 180 degrees?
(place answer in space provided)
______6. What is the image of (5,-2) under the transformation ry  x ?
(1) (5,2)
(2) (-2,5)
(3) (2,5)
(4) (-5,2)
______7. What is the image of (-3,6) when rotated 360 degrees?
(1) (3, -6)
(2) (3,6)
(3) (-3,6)
(4) (-3,-6)
______8. What is the image of (-4,5) under a reflection in the line y = 2?
(1) (-2,5)
(2) (8, 5)
(3) (-4,-5)
(4) (-4,-1)