geometry vocabulary 7-1 by: hilary clinger & alex shipherd
TRANSCRIPT
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Geometry Vocabulary 7-1By: Hilary Clinger & Alex Shipherd
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Point
• An exact location in a space• Represented by a dot• Named by a capital letter
A
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Line
• A collection of points along a straight path extending forever in opposite directions
• Draw a line with arrows on both ends• Named by any to points on the line in either
orderK JL
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Line Segment
• Part of a line with two endpoints, it has both a beginning and an end
• It can be measured, using a ruler• Drawn as a line with no arrows• Named by the two endpoints, in either order
P O
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Endpoint
• Where a ray begins
Endpoint
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Ray
• Part of a line that extends forever in only one direction
• Where it begins is called the endpoint• Drawn as a line with only on arrow• Named by the endpoint and any other point
on the ray, endpoint always comes first
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Plane
• A flat surface that extends in all directions forever
• Anything than can be drawn in a plane is called a plane figure
• Named by three points in the plane
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Intersecting Lines
• Intersect or meet at one point
DC
BA
F
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Parallel Lines
• Do not intersect anywhere, where they remain
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Perpendicular Lines
• A special kind of intersecting lines form right angles at the point of intersection.
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Concurrent Lines
• Intersect everywhere one line lays on top of the other lines
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Angle
• An angle is formed by two rays that have a common endpoint called the vertex
• The rays are the sides of the angle• Drawn with two rays
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Angles (continued)
• Named by three points one on each ray and the vertex is always in the middle
• Or named by the vertex• Or named by a number• We can measure an angle in degrees using a
protractor
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Acute Angle• Measures between
0° and 90°
Right Angle
Obtuse Angle Straight Angle
• Measures exactly 90°
• Measures between 90° and 108°
• Measures exactly 180°
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Protractor
• A protractor is used to measure angles• You can draw angles by using protractors
How to use a Protractor:Step 1: Center the protractor on the vertex of the angle
Step 2: Align the 0° mark on one side of the angle
Step 3: Read the measure where the other side passes through the protractor
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SupplementaryAngles
• Two angles whose sum of their measures is equal to 90° are complementary angles
ComplementaryAngles
• Two angles whose sum of their measures is equal to 180° are supplementary angles
1
2
m 1+m 2= 90° m 3+m 4= 180°
3 4
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Adjacent Angles Vertical Angles
• Share the common vertex and a common side
• Share only the common vertex. The measures of the vertical angles are equal
C
DE
F
G120°
120°60°60°
Think:m EDG = m CGFm CGE = m FGD
J
A
L
M
Think: JAL is adjacent to LAM
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Transversal
• Two pairs of parallel lines are both intersected by a third line, several pairs of congruent angles are formed. At each point of intersection two pairs of vertical angles are formed.
1 2
3
45 6
8 7
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Corresponding Angles
• Are congruent
1 2
3
45 6
8 7
m 1= m 5m 2= m 6m 3= m 7m 4= m 8
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Alternate Interior Angles
• The measure of the angles on opposite sides of the transversal both inside and outside the parallel lines are equal.
Alternate Exterior Angles
• The measure of the angles on opposite sides of the transversal both inside and outside the parallel lines are equal.
1 2
3
45 6
8 7
1 2
3
45 6
8 7
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Triangle
• Polygon with 3 sides, angles, and vertices. • Different sizes and shapes• Classified according to the length of their sides
or according to the measure of their angles
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Acute Triangle
• Three acute angles
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Right Triangle
• One 90° angle• Two acute angles (less than 90°)
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Obtuse Triangle
• One obtuse angle• Two acute angles
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Scalene Triangle
• No congruent sides • No congruent angles
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Isosceles Triangle
• Two congruent sides• Two congruent angles
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Equilateral Triangle
• Three congruent sides• Three congruent angles
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Reflection
• A flip
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Line of Symmetry
• When you can fold a shape and have it match perfectly with itself
A heart has one line of symmetry. A square has four.
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Dilation
• To dilate a polygon, multiply the coordinates of each vertex by the scale factor and connect the vertices.
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Image
• The shape after it has been reflected
Image
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Rotation
• When you turn a shape
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Transformation
• Moving a shape but not changing it
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Translation
• When you slide a shape
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The rest of the vocabulary is on our wikis.Geometry List Vocabulary 7-1
By: Hilary Clinger and Alex Shipherd