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Name the parts of an angle.

Define the term angle.

Define the term plane.

Define the term line.

Define the term point.

Define the term line segment.

Define the term ray.

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What geometric term does the flight path of a plane on radar represent?

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What geometric term does the flight path of a plane on radar represent?

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line

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A point is a location in space.

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A line is all the points along a straight, unbroken path that extends forever in both directions.

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A plane is a flat surface that extends forever in all directions.

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Triangles, quadrilaterals, and pentagons are all examples of polygons. Polygons are made up of surfaces, edges, and vertices. The figure will help you review these ideas.

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A point is a location in space with no length, width, or depth. You represent a point with a dot and name a point with a capital letter.

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A line is a collection of points arranged in a straight path. A line has no thickness, but it does have direction and infinite length. Use arrows to show that a line continues endlessly in both directions. Name a line by naming any two points on the line in any order. You can also name a line with one lowercase script letter.

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A plane is a flat surface that has infinite length and width but no thickness. Name a plane with one capital script letter or any three points on the plane that are not on the same line.

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A line segment is a part of a line that consists of any two points on the line and all the points in between those two points. A line segment has a specific length and can be measured. Name a line segment by naming its endpoints, in either order.

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A ray is part of a line that starts at an endpoint and extends infinitely in one direction. Name a ray by naming its endpoint first and then any other point on the ray. The direction of the ray affects the naming of the ray.

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1. Name all known points on the plane.

2. Name the line in three different ways.

3. Name the plane in two different ways.

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A triangle has three sides and three angles. The figure will help you review these ideas.

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A rectangular pyramid is a 3-dimensional figure. It has length, width, and height. The figure will help you review these ideas.

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Are points on a line coplanar?

If the endpoint of a ray is on a line, are the points on the line and the ray collinear?

Can a point be on a line and at the same time be one endpoint of a line segment and the endpoint of a ray?

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It is no accident that Washington, D.C., streets are arranged using geometric concepts.

The streets were planned by Pierre L’Enfant in the early 1800s. L’Enfant designed the streets to remind him of his native France with long boulevards and ceremonial sites. The major streets in Washington, D.C., were designed to be a diamond-shaped grid using numbers and letters for the street names. Throughout the city, diagonal streets were named after the states and various figures in American history. If you were to fly over the city in the 1800s, you would likely see shapes that look like pentagrams, carpenter squares, and compasses.

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Although the city has undergone many changes and revisions over the years, the geometric structure has remained the same.

For example, while sightseeing in Washington, if you leave the White House to travel southeast on Pennsylvania Avenue to the U.S. Capitol and then travel west on Madison Drive to visit the Washington Monument, you have traveled the path of an acute angle. In fact, most maps contain geometric features such as parallel streets, perpendicular streets, and intersecting streets, which together create obtuse and acute angles.

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Now It’s Your Turn: What Is the Geometry Along a Parade Route?

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Now It’s Your Turn: What Is the Geometry Along a Parade Route?

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If you know the route of the Presidential Inaugural Parade, you can identify the path, intersections, lines, line segments, and angles of the parade.

Give it a try on the next page.

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After the president of the United States is sworn into office, the Presidential Inaugural Parade travels a straight path west from the U.S. Capitol (A) to the White House (B) down Pennsylvania Avenue. How is this path defined?

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After the president of the United States is sworn into office, the Presidential Inaugural Parade travels a straight path west from the U.S. Capitol (A) to the White House (B) down Pennsylvania Avenue. How is this path defined?

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line segment AB

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The parade will begin at the intersection of the path that goes from point C to point D and the path that goes from point A to B. What is the name of that intersection?

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The parade will begin at the intersection of the path that goes from point C to point D and the path that goes from point A to B. What is the name of that intersection?

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point E

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If the parade were to continue from point E through and beyond point A, what term would define EA?

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If the parade were to continue from point E through and beyond point A, what term would define EA?

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ray

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The parade will end by turning south at point H onto 14th Street. What is the term that defines where the parade has traveled?

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The parade will end by turning south at point H onto 14th Street. What is the term that defines where the parade has traveled?

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angle EHG

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What geometric term does the surface of a frozen ice skating rink represent?

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What geometric term does the surface of a frozen ice skating rink represent?

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plane

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What geometric term does a first baseline, home plate, and a third baseline of a baseball field represent?

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What geometric term does a first baseline, home plate, and a third baseline of a baseball field represent?

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angle

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The top of a desk is best modeled by a

plane

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This ray has an endpoint A and passes through point B. This ray is called AB→ AB−→AB→ .