The document provides instructions for a city design assignment involving geometry concepts. Students are asked to draw various streets and locations demonstrating parallel lines, transversals, angles (alternate exterior, alternate interior, vertical, adjacent, corresponding), and label two congruent triangles to show they are congruent. Additional requirements include rotating triangles on coordinate planes, including quadrilaterals and classifying them, creating math problems to solve for x, including a polygon and finding its interior angle sum, and providing a statement about congruent triangles. The assignment tests a variety of geometry concepts and requires labeling, drawing, problem solving, and explanation.

1. City Designer
Name:
You are the designer of your own city. Your city must have the following, and be correct to
receive full credit.
From Section 11.1 Angle and Line Relationships
1. Draw 5 parallel streets in your city (appropriately name each street)
2. Draw 2 transversal streets (appropriately name each street)
The following locations (label them) must be placed as directed:
3. A gas station and a restaurant (at alternate exterior angles)
4. Your house and a school (at alternate interior angles)
5. A courthouse and a bank (at vertical angles)
6. A grocery store and a church (at adjacent angles)
7. A library and a park (at corresponding angles)
From section 11.2 Congruent Triangles
1. Somewhere in your city you must have two triangles. The triangles can represent
whatever you would like. For example: A billboard advertising pizza, a bridge with
triangles as the two faces of the bridge, etc.
2. Your two triangles need to be congruent, and you need to show that they are congruent.
You will do this by labeling the triangles with the appropriate tick marks and angle arcs.
5 Parallel Lines /1
2 Transversals /1
Alternate Exterior Angles /2
Alternate Interior Angles /2
Vertical Angles /2
Adjacent Angles /2
Corresponding Angles /2
Total /8

2. 3. Next to your triangles, you need to write, “If two triangles are congruent, then…” and
then finish the sentence with the appropriate
statement
From section 11.3 Rotations
1. Glue the two coordinate planes to the back of your poster
2. Rotate the first triangle 90 degrees clockwise about the origin
3. Rotate the second triangle 180 degrees counterclockwise about the origin
4. Rotate the third triangle 270 degrees clockwise
about the origin
From section 11.4 Quadrilaterals
1. Include 2 road signs in your city. They must be quadrilaterals. You must label each
quadrilateral with the appropriate tick marks and arrows in order to classify them.
2. Create your own math problem, in which you find the value of x in each quadrilateral.
(Further directions will be given in class)
3. Solve your math problems and show your work
Two Quadrilaterals Labeled /2
Math Problems /6
Total /8
From section 11.5 Polygons
1. Include one more road sign, but this time it should be a polygon.
2. Find the sum of the degree measures of the interior angles of your polygon
Polygon Interior Measure /3
Total /3
Congruent Triangles /2
Congruent Triangles Statement /2
Total /4
Coordinate Plane 1 /3
Coordinate Plane 2 /3
Coordinate Plane 3 /3
Total /9