22 . The figure is reflected across line m and then reflected across line n. What is the resulting transformation? A) glide reflection B) rotation C) reflection D) translation 24 . The waiter places a bowl of soup in front of Abbey. In a counterclockwise direction, she passes the soup to Kai who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup? A) first 72° and then 108° B ) first 40° and then 60° C) first 80° and then 120° D) first 60° and then 90° 25. The waiter places a bowl of soup in front of Lacy. In a counterclockwise direction, she passes the soup 90°. The person receiving the soup passes it 30°. After the two passes, the soup is in front of which person? A) Garret B) Darcy C) Igor D) Haifa 28. What are the coordinates of the vertices of the triangle under the translation (x, y) ---> (x - 1, y - 3) A) (0, -8), (-1, -1), (-5, -4) B) (-8, 0), (-1, -1), (-4, -5) C) (5, -4), (0, 0), (5, 4) D) (-4, 5), (0, 0), (4, 5) 29. What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4? A) (-8, -6) b) (4, -3) C) (4, -6) D) (-6, 8)
Answer (3)
22. A n s w er : B 24. α = 36 0 o : 12 = 3 0 o A bb ey − K ai → 2 ⋅ 3 0 o = 6 0 o K ai − H ai f a → 3 ⋅ 3 0 o = 9 0 o A n s w er : D
25. α = 36 0 o : 12 = 3 0 o L a cy + 9 0 o → ( 9 0 o : 3 0 o = 3 ) → I g or I g or + 3 0 o → ( 3 0 o : 3 0 o = 1 ) → H ai f a A n s w er : D
28. ( x ; y ) → ( x − 1 ; y − 3 ) a = [ − 1 ; − 3 ] A ( − 3 ; − 2 ) → A ′ ( − 3 − 1 ; − 2 − 3 ) → A ′ ( − 4 ; − 5 ) B ( 0 ; 2 ) → B ′ ( 0 − 1 ; 2 − 3 ) → B ′ ( − 1 ; − 1 ) C ( − 7 ; 3 ) → C ′ ( − 7 − 1 ; 3 − 3 ) → C ′ ( − 8 ; 0 ) A n s w er : B
29. P ( 0 ; 0 ) ⇓ S x = − 3 P ′ ( − 6 ; 0 ) ⇓ S y = 4 P ′′ ( − 6 ; 8 ) A n s w er : D
22) (B)
24) (D)
25) (D)
28) (B)
**29) (D) ** ;
The answers to the questions are as follows: 22) (B) Rotation, 24) (D) first 60° and then 90°, 25) (D) Haifa, 28) (B), and 29) (D) (-6, 8).
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