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 \n(A)30  \n(B)40  \n(C)45  \n(D)50  \n(E)55  \n5)  \nIn△ABC above,what is the value ofx?(A)25(B)30(C)35(D)40(E)60  \n   \n# Honors GeometrySAT Practice Problems\n\n2)  \nIn the figure above,AD,BE,and CF intersect atpoint O.If the measure of ∠AOB is 80°and CFbisects ∠BOD,what is the measure of ∠EOF?(A)40°(B)50°(C)60°(D)70°(E)80°  \nIn the figure above,y+z=(A)180(B)195(C)215(D)230(E)245  \n\n| 6)   | If the length of a rectangle is increased by 30%and the  \u003Cbr>width of the same rectangle is decreased by 30%,what  \u003Cbr>is the effect on the area of the rectangle?   |  |  |\n| --- | --- | --- | --- |\n|  | (A)It is increased by 60%.   |  |  |\n|  | (B)It is increased by 30%.   |  |  |\n|  | (C)It is unchanged.   |  |  |\n|  | (D)It is decreased by 15%.   |  |  |\n|  | (E)It is decreased by 9%.   |  |  |\n\n7)  \nWhat is the value of w in the figure above?  \n(A)90  \n(B)100  \n(C)110  \n(D)135  \n(E)145  \n9)  \nFor the triangles above,the perimeter of △ABCequals the perimeter of △DEF.If △ABC isequilateral,what is the length of AB?  \n(A)4  \n(B)  5  \n(C)  7  \n(D)9  \n(E)15  \n11)  \nF  \nIn the figure above,the perimeter of the triangle is4+2√2.What is the value of x?(A)2(B)4(C)√2(D)2√2(E)2+√2  \n8)  \nIn the figure above,ellm.If x=80 and y=70,what is the value of z?  \n(A)30  \n(B)60  \n(C)75  \n(D)90  \n(E)150  \n10)A square and an equilateral triangle have equalperimeters.If the square has sides of length 3,whatis the length of one side of the triangle?(A)2(B)3(C)4(D)5(E)6  \n12)  \nC  \nNote:Figure not drawn to scale.  \n   \nIf the five line segments in the figure above are allcongruent,what is the ratio of the length of AC(notshown)to the length of BD?  \n(A)√2to 1  \n(B)√3to1  \n(C)√2 to 2  \n(D)√3to 2  \n(E)√3 to√2  \n13)  \nIn the triangles above,what is the average(arithmeticmean)of u,v,w,x,and y?(A)21(B)45(C)50(D)52(E)54  \n15)  \nC  \nNote:Figure not drawn to scale.  \n   \nIf the five line segments in the figure above are allcongruent,what is the ratio of the length of AC(notshown)to the length of BD?  \n(A)√2 to 1  \n(B)√3to 1  \n(C)√2to 2  \n(D)√3to 2  \n(E)√3 to √2  \n17))  \nNote:Figure not drawn to scale.  \nIn the figure above,points P,A,and B are equallyspaced on line l and points P,Q,and R are equallyspaced on line m.If PB=4,PR =6,and AQ=4,what is the perimeter of quadrilateral QABR?  \n(A)13  \n(B)14  \n(C)15  \n(D)16  \n(E)17  \n14)The perimeter of equilateral triangle ABC is 3 timesthe perimeter of equilateral triangle DEF.If theperimeter of △DEF is 10,what is the length ofone side of△ABC?(A)(B)10(C)15(D)30(E)40  \n16)  \nIn the triangles above,what is the average(arithmeticmean)of u,v,w,x,and y?  \n(A)21  \n(B)45  \n(C)50  \n(D)52  \n(E)54  \n18)  \nIn the figure above,AE and CD are eachperpendicular to CE.Ifx=y,the length ofAB is 4,and the length of BD is 8,what isthe length of CE?  \n(A)3√2(approximately 4.24)  \n(B)6√2(approximately 8.49)  \n(C)8√2(approximately 11.31)  \n(D)10√2(approximately 14.14)  \n(E)12√2(approximately 16.97)  \n21)  \n\n| 0   |  |  |\n| --- | --- | --- |\n| In the figure above,if the legs o  \u003Cbr>parallel to the axes,which of th  \u003Cbr>the lengths of the sides of triang  \u003Cbr>(A)2,5,and√29  \u003Cbr>(B)2,5,and7  \u003Cbr>(C)3.3.and 3./2  \u003Cbr>(D)3,4,and 5  \u003Cbr>(E)4,5,and√41   |  | f triangle ABC are  \u003Cbr>e following could be  \u003Cbr>le ABC?   |\n\n23)  \nWhat is the radius of a circle that has a circumference  \nof π?  \n(A)  \n(B)  \n(C).1  \n(D)2  \n(E)4  \n20)  \nRIIPS in the figure above,what is the value(x+y)?(A)90(B)120(C)180(D)270(E)360  \n22)  \nNote:Figure not drawn to scale  \n   \nThe figure above is a right triangle.What is the valueof 49+x²?  \n(A)50  \n(B)51  \n(C)72  \n(D).98  \n(E)100  \n24))  \nIn the figure above,arc SBT is one quarter of a circlewith center R and radius 6.If the length plus the widtrof rectangle ABCR is 8,the","cbCaiuCOKUx1az3r","https://ap.wps.com/l/cbCaiuCOKUx1az3r","pdf",5284731,"English","# Honors GeometrySAT Practice Problems\n## Angle, segment, and perimeter problems\n## Area, rectangle, and arc/circle problems\n## Triangles, ratios, and averages\n## Solid geometry: volume and distance","[{\"question\":\"题目中常见的几何知识点有哪些？\",\"answer\":\"包含角度计算与角平分、三角形与圆的周长/弧长、矩形面积变化、以及多边形间周长或边长比例等内容。部分题目还涉及立体几何的体积与最短距离。\"},{\"question\":\"这些题通常如何解决？\",\"answer\":\"大多数题通过题干给出的角度、周长、半径、直径、周长关系或对称/中点信息建立方程或几何关系，再从选项中选择最符合结果的值。\"},{\"question\":\"图形未按比例绘制时需要注意什么？\",\"answer\":\"题目中明确“Figure not drawn to scale”，因此不能依赖视觉长度比例；必须依据文字给定的条件（如全等、等分、垂直、半径/直径等）进行推导计算。\"}]","Honors GeometrySAT Practice Problems | PDF",1789407077]