Write a rule in both coordinate notation and vector
notation to represent the translation of the parallelogram to the right.
<-4, 7>
(x, y)--> (x - 7, y +4)
<4, -7>
<7, -4>
(x, y)--> (x + 7, y - 4)
<-7, 4>
(x, y)--> (x +4, y - 7)
(x, y)--> (x - 4, y + 7)
Coordinate Notation
Vector Notation
6. If △QRS ≅ △MNP, QR = 11, QS = 15, MP =2x-3, m∠S=84°, m∠R=32°, and m∠M = (14y -6)°. Find the values of x and y.
*hint: draw out the two triangles*
Prove: PQ ∥ RS, ∠PQR ≅ ∠RSP
Prove: △PQR ≅ △RSP
Prove: △JKL and △LMJ are right triangles, JK ≅ LM
Prove: ∠JLK ≅ ∠LJM
2. You MUST Graph ALL three images to get complete points.
3.You MUST Graph ALL three images to get complete points.
D’(2, 9) is the image of D after a reflection in the line y - axis. What are the coordinates of D?
-13
-2
3
-4
9
2
5
x- coordinate
y-coordinate
Q’(-7, 6) is the image of Q after a reflection in the line y = -x. What are the coordinates of Q?
-2
9
2
-6
-13
7
3
-4
x- coordinate
y-coordinate
Given: AC ≅ DE, B is the midpoint of AD and CE
Prove: △ABC ≅ △DBE
Statements Reasons
AC ≅ DE 1.
2. given
3.definition of midpoint
CB ≅ EB 4.
△ABC ≅ △DBE 5.
Prove: R is the midpoint of QT, QS≅TS
Prove: ∠RQS ≅ ∠RTS