新SAT官方Daily Practice每日一题数学函数题

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MathematicsStandard Multiple Choice

Read the following SAT test question and thenclick on a button to select your

answer.

7月SAT数学官方Daily Practice 每日一练，点击练习

In the figure shown above, BD bisects AC at point B. What is the perimeter of

quadrilateralAECD?

A.48cm

B.46cm

C.38cm

D.34cm

重点单词：

congruent ['kɔŋgruənt] adj. 合适的，一致的，全等的

segment ['segməntn. 部份，瓣，弓形vt. 分割

perimeter [pə'rimitə] n. 周长，周界，边缘

figure ['figə] n. 图形，数字，形状; 人物，外形，体型

diagram ['daiəgræm] n. 图解，图表 vt. 用图解法表示

perpendicular [.pə:pən'dikjulə] n. 垂直线 adj. 垂直的，直立的，陡峭的

multiple ['mʌltipl] adj. 许多，多种多样的

答案：A

解析：

We can see from the diagram that the bisector BDintersects AC at a right

angle, so the segments areperpendicular to each other.

Any point on a segment's perpendicular bisector isequidistant from the

segment's two endpoints. Labeling the congruent line segments yieldsthe

following figure:

To find the perimeter of quadrilateral AECD, add the lengths of each

side.

16+16+8+8=48

The perimeter of quadrilateral AECD is 48cm.