24GEOMETRYJanuary 201817.) In the diagram, XS and YRintersect at Z. Segments XY andRS are drawn perpendicular to YR Yto form triangles XYZ and SRZ.Which statement is always true?. (1) (XY)(SR) - (XZ)(RZ)(2) AXYZ = ASRZ(3) XS YR④路17 418. 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) 137.5⁰G18 219. A parallelogram must be a rhombus if its diagonals(1) are congruent(3) do not bisect its angles(2) bisect each otherare perpendicular to each other19420. What is an equation of a line which passes through (6, 9) and isperpendicular to the line whose equation is 4-6y=15? -6y=-9x+²5Oy-9--(x-6)-6(3) y +9=-2/(x+6)Y= = x +459 = 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 = 754x=115 and y = 70(y +30)* 21 4(x-10)22. A regular pyramid has a square base. The perimeter of the base is36 inches and the height of the pyramid is 15 inches. What is the9

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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) AXTZ ASRZ 18. As shown in the diagram, (3) XS = YR ① Z 17 4

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

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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Question

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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