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READING DETECTIVEA1 NONFICTION

33. Defning Geometryby David White

1Geometry is a branch ofmathematics that focuses on shapes.2A large part of geometry is the studyof the lines, points, and angles usedto form these shapes. 3A line is a setof points that extend forever in twodirections. 4A line segment can bethought of as a part of a line joiningtwo end points. 5If two lines join atone point, they form an angle. 6Anangle is two rays* that extend from thesame point. 7Two rays that intersectat a right angle (90-degree) are calledperpediular.

8Lines can be joined to formgeometric gures. 9A three-sidedgure is a riagle. 10There are severaldifferent types of triangles, which varyaccording to the length and angles ofthe lines that form them. 11Here aresome denitions.

12Equilaeral riagle:atriangle with three equal sides

13Isseles riagle:a trianglewith two equal sides

14Salee riagle:a trianglewith no equal sides

15A four-sided gure is called aquadrilaeral, which is four points

joined by four lines to produce foursides. 16The following are denitions ofspecic types of quadrilaterals:

*ray: a half line that extends foreverin one direction from a point

17Parallelgram:a quadrilateralthat has opposite sides thatare parallel and equal inlength

18Reagle:a parallelogramthat has four right angles

19Square:a rectangle that hasfour equal sides

20The last basic geometric gure todene is the irle, a perfectly roundenclosed shape made by a curved line.21All points on the line are the samedistance (equidistant) from a xed

point in the center of the circle.

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DIREctIonS:Choose or write the best answer to each of the following questionsusing the evidence presented in the passage. When required, list specic sentencenumbers or paragraph letters from the story to support your answer.

READING DETECTIVEA1 NONFICTION

1.According to the diagram, which ofthe following gures has the most

right angles? A. circle B. square

c. parallelogram D. scalene triangle

2.Using the diagram, choose thegure listed below that does NOT

contain perpendicular lines. A. angle B. square c. rectangle D. parallelogram

3.Choose the statement that isaccurate.

A. All circles have sides. B. All squares are rectangles. c. All triangles are equilateral. D. All quadrilaterals have right

angles.

Give the number of the sentencethat best supports your answer. ____

4.How does an equilateral trianglediffer from a scalene triangle?

____________________________________

____________________________________

____________________________________

____________________________________

5.A rhombus has four equal sidesbut no right angles. In whichsection of the passage would thissentence best t?

A. sentences 16 B. sentences 711 c. sentences 1215 D. sentences 1621

6.Which of these best describes thepurpose of the passage?

A. to show similar things B. to match pictures to words c. to dene triangles and circles

D. to describe geometric shapes

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READING DETECTIVEA1 ANSWER KEYS

33. Defning Geometryby David White

1. According to the diagram, which ofthe following gures has the mostright angles?(diagram use)

A. circle B. squareC. parallelogram

D. scalene triangle

2. Using the diagram, choose the gurelisted below that does NOT contain

perpendicular lines.(diagram use)

A. angle B. square C. rectangle

D. parallelogram

3. Choose the statement that is accurate.(supporting detail)

A. All circles have sides. B. All squares are rectangles. C. All triangles are equilateral. D. All quadrilaterals have right

angles.

1 best evidence sentence: 19

4. How does an equilateral triangle differfrom a scalene triangle? (compare/contrast, reading for detail)

An equilateral triangle has threeequal sides while a scalene triangle

has no equal sides. 5. A rhombus has four equal sides but

no right angles. In which section ofthe passage would this sentence bestt?(application)

A. sentences 16 B. sentences 711 C. sentences 1215 D. sentences 1621

Sentences 1621 describe four-sidedgures, of which a rhombus is one.

6. Which of these best describes thepurpose of the passage? (authorpurpose)

A. to show similar things B. to match pictures to words

90Line

AngleCircle Square

Rectangle Parallelogram

EquilateralTriangle Isosceles

Triangle

Scalene

Triangle

Quadrilateral