24 GEOMETRY January 2018 (17.) In the diagram, XS and YR intersect at Z. Segments XY and RS are drawn perpendicular to YR Y to form triangles XYZ and SRZ. Which statement is always true? . (1) (XY)(SR) – (XZ)(RZ) (2) AXTZ ASRZ 18. As shown in the diagram, (3) XS = YR ① Z 17 4

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24
GEOMETRY
January 2018
17.) In the diagram, XS and YR
intersect at Z. Segments XY and
RS are drawn perpendicular to YR Y
to form triangles XYZ and SRZ.
Which statement is always true?
. (1) (XY)(SR) - (XZ)(RZ)
(2) AXYZ = ASRZ
(3) XS YR
④路
17 4
18. As shown in the diagram,
ABC EFG and BF as EF.
If m/CBF=42.5°, then m/EBF is
(1) 42.5°
68.75⁰
(3) 95°
(4) 137.5⁰
G
18 2
19. A parallelogram must be a rhombus if its diagonals
(1) are congruent
(3) do not bisect its angles
(2) bisect each other
are perpendicular to each other
194
20. What is an equation of a line which passes through (6, 9) and is
perpendicular to the line whose equation is 4-6y=15? -6y=-9x+²5
Oy-9--(x-6)
-6
(3) y +9=-2/(x+6)
Y= = x +45
9 = ²/(x+6) Y=x+2/201
(2) y-9-(x-6)
21. Quadrilateral ABCD is inscribed in circle O,
as shown. If mA-80°, m/B-75°,
m/C=(y +30)°, and m/D=(x-10)°,
75°
180*
which statement is true?
(1)x=85 and y=50
(2) x=90 and y=45
(3)x= 110 and y = 75
4x=115 and y = 70
(y +30)* 21 4
(x-10)
22. A regular pyramid has a square base. The perimeter of the base is
36 inches and the height of the pyramid is 15 inches. What is the
9
Transcribed Image Text:24 GEOMETRY January 2018 17.) In the diagram, XS and YR intersect at Z. Segments XY and RS are drawn perpendicular to YR Y to form triangles XYZ and SRZ. Which statement is always true? . (1) (XY)(SR) - (XZ)(RZ) (2) AXYZ = ASRZ (3) XS YR ④路 17 4 18. As shown in the diagram, ABC EFG and BF as EF. If m/CBF=42.5°, then m/EBF is (1) 42.5° 68.75⁰ (3) 95° (4) 137.5⁰ G 18 2 19. A parallelogram must be a rhombus if its diagonals (1) are congruent (3) do not bisect its angles (2) bisect each other are perpendicular to each other 194 20. What is an equation of a line which passes through (6, 9) and is perpendicular to the line whose equation is 4-6y=15? -6y=-9x+²5 Oy-9--(x-6) -6 (3) y +9=-2/(x+6) Y= = x +45 9 = ²/(x+6) Y=x+2/201 (2) y-9-(x-6) 21. Quadrilateral ABCD is inscribed in circle O, as shown. If mA-80°, m/B-75°, m/C=(y +30)°, and m/D=(x-10)°, 75° 180* which statement is true? (1)x=85 and y=50 (2) x=90 and y=45 (3)x= 110 and y = 75 4x=115 and y = 70 (y +30)* 21 4 (x-10) 22. A regular pyramid has a square base. The perimeter of the base is 36 inches and the height of the pyramid is 15 inches. What is the 9
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