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Geometry Chapter 1 Test Review

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I 1 Geometry Chapter 1 Test Review I Important Vocabulary I Geometry Euclid Conditional Converse Postulate Thecrem Converse Hypothesis Conclusion Venn Congruent Point Line Plane Diagram Line Plane Intersection Collinear Non- Coplanar Non-coplanar points collinear points points points I Space Undefined Line segment Congruent Between- seg~ent Precision segments ness Addi ion Postulate Midpoint Number line Coordinates Ruler Distance Mid~oint Segment Postulate Theorem Bisector Parallel Endpoint Dimensions Quadrant Ray Angl~ Vertex Right angle Acute angle Obtuse angle Straight Opposite I Angle conr uent angle rays angl, s bisector Angle addition Complementary Protractor Compass Adjacent Vert,cal angles Linear pair postulate angles angles Supplementary Perpendicular Protractor Vertical Linear pair Straightedge Construction angles lines postulate angle postulate I theorem Polygon Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon Regular Irregular Convex Concave polygon Polygon poly~on polygon Perimeter Bisect ~~~~~ I C.I.a.: I can use definitions, basic postulates, and theorems about points, segments, lines, angles, and planes to solve problems. I D.l.a.: I can identify and model plane figures, including collinear and non collinear points, lines, segments, rays, and angles using appropriate mathematical symbols. I D.l.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs and use them to solve problems. I G.CO.12./ D.l.d.: I can use construction techniques, including straightedge and compass, to ., sect and trlsect segments and to create • arallel and perpendicular line" .ernd,eU'a< bisectors, and angle bisectors. G.GPE.4/ G.l.b.: I can apply the midpoint and distance formulas to points and segments to find midpoints, distances, and missing information. I G.l.c.: I can use coordinate geometry to solve problems about geometric figures. C.l.b.: I can identify and write conditional statements and use these statements to form conclusions. I D.2.h.: I can identify and classify regular and non-regular polygons based on the number of sides, the angle measures, and the side lengths. I G.CO.l.: o I can understand the undefined terms: point, line, and distance along a line in a plane. G.MG.1.: I can use geometric shapes and their properties to model and describe real world objects. l C.l.b.: I can identify and write conditional statements and use these stateme ts to form conclusions. I
Transcript
Page 1: Geometry Chapter 1 Test Review

I 1

Geometry Chapter 1 Test ReviewI Important Vocabulary I

Geometry Euclid Conditional Converse Postulate Thecrem ConverseHypothesis Conclusion Venn Congruent Point Line Plane

DiagramLine Plane Intersection Collinear Non- Coplanar Non-coplanar

points collinear points pointspoints I

Space Undefined Line segment Congruent Between- seg~ent Precisionsegments ness Addi ion

PostulateMidpoint Number line Coordinates Ruler Distance Mid~oint Segment

Postulate Theorem BisectorParallel Endpoint Dimensions Quadrant Ray Angl~ VertexRight angle Acute angle Obtuse angle Straight Opposite I Angleconruent

angle rays angl, s bisectorAngle addition Complementary Protractor Compass Adjacent Vert,cal angles Linear pairpostulate angles anglesSupplementary Perpendicular Protractor Vertical Linear pair Straightedge Constructionangles lines postulate angle postulate

ItheoremPolygon Triangle Quadrilateral Pentagon Hexagon Heptagon OctagonNonagon Decagon Dodecagon Regular Irregular Convex Concave

polygon Polygon poly~on polygonPerimeter Bisect~~~~~ I

• C.I.a.: I can use definitions, basic postulates, and theorems about points, segments, lines,angles, and planes to solve problems. I

• D.l.a.: I can identify and model plane figures, including collinear and non collinear points,lines, segments, rays, and angles using appropriate mathematical symbols. I

• D.l.b.: I can identify vertical, adjacent, complementary, and supplementary angle pairs anduse them to solve problems. I

• G.CO.12./ D.l.d.: I can use construction techniques, including straightedge and compass, to., sect and trlsect segments and to create • arallel and perpendicular line" .ernd,eU'a<bisectors, and angle bisectors.

• G.GPE.4/ G.l.b.: I can apply the midpoint and distance formulas to points and segments to findmidpoints, distances, and missing information. I

• G.l.c.: I can use coordinate geometry to solve problems about geometric figures.• C.l.b.: I can identify and write conditional statements and use these statements to form

conclusions. I• D.2.h.: I can identify and classify regular and non-regular polygons based on the number of

sides, the angle measures, and the side lengths. I• G.CO.l.:

o I can understand the undefined terms: point, line, and distance along a line in a plane.

• G.MG.1.: I can use geometric shapes and their properties to model and describe real worldobjects. l

• C.l.b.: I can identify and write conditional statements and use these stateme ts to formconclusions. I

Page 2: Geometry Chapter 1 Test Review

I. Short Answer Questions1. Do the words bisect and midpoint mean essentially the sanr thing?

2. Which ofthe following has a midpoint? A line or a line segment?3. How many points determine a line? How many points determine a plane? What

types of points determine a plane?

2

II. Segment Length & Precision

1. What is the length of segment AB?

I .A .B. '. .' .

. . ITTTTTrTTTTTTn· CTTTTTTTTTTlITn

.1

""1.1111'1111I11111111111111111111111) 1111111111111111111111111 III. em 1 .. 2 3. 45.. 6

..... .:..: .:- ....:.: .... ..-,' ,- . ", .:'., ".- .'I

III.

2. What is the precision of a measurement of 6 Yz ft? After stating the precision,

write the answer in 'interval' form. !Segment Problems I1. Find the length of segment DE if 0 is between points C and E, CD = 6.5

centimeters, and CE= 13.8 centimeters.

2. Find the length of segment XZ.

/ 4x+ 3 ./•• •X 8 em Y 2x+ 7 Z

3. Find x if RS f: ST .. /. 52 in. /• • •R 6x+8 S T

IV. Use the coordinate grid.1. Find the distance between A and B.

y

B

A

0 xC

0

2. Find the coordinates of the midpoint of segment CD.

Page 3: Geometry Chapter 1 Test Review

V. Polygons1. Name polygon ABCDEFby its sides. Then classify it as convex or concave and

regular or not regular. QB . C. 6x+ 5A .. 0

F E

2. Find the perimeter of polygon ABCDEFfor x = 4.

3

VI. Use the figure at the right.1. What is another name for line 17

2. Name three points on plane P.

3. Name the intersection of planes P and N.

4. Name three collinear points.

VII. Rays and Angles

In the figure, ray fA and ray fB are opposite rays and ray fC bisects <FfG.I

1. Name a pair of supplementary angles.

2. Name an angle that is adjacent to <CEG. Ao

3. Find x if m~FEG = 82, and m~FEC = 5x + 11

4. If m~AED = 16y + 10, find y so that ED ..LAB.

Page 4: Geometry Chapter 1 Test Review

• •

4

VIII. Constructions.1. For the next question, draw segment xv.

Construct the perpendicular bisector of xv.

y

2. Draw an obtuse <XVZ. Construct its bisector.

IX. Conditional Statements1. An advertisement for Pepsi says "Stay cool! Drink Pepsi.II What conditional statement

does the ad imply?

b. Through any points there is exactly one line.

2. Write the following postulates as conditional statements:

a. Two congruent figures have equal areas.

Suppose you drive at an average speed of 60 mph.a. What is the distance between Tallahassee to Lake City?b. How long will it take to get from Tallahassee to Lake City?c. Suppose you drive at an average speed of 63 mph. How long will it take to get from

Jacksonville to Monticello?


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