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Delvig [45]
3 years ago
7

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d

epartment is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid below to represent two vertices of the new fire department quadrilateral ABCD:
What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department?

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0

Answer:

The possible coordinates of points C and D will be C(-8,3) ,D( -8,5) or C( 0,3) ,D( 0,5)

Step-by-step explanation:

In the given figure the distance of sides of fire department  represented by quadrilateral RSTU are RS= 2 units ,UR=4 units ,UT=2 units and TS= 4 units .

The size of the new department's property must be congruent to the older department. Congruent figures have same shape and size and distance is preserved. AB  is congruent to side RS = 2units in figure . To locate a point such that ST = BC = 4 units point C will have the coordinate (-8,3) . Point D will have the coordinate (-8,5) so that TU =CD.

Points C and D can be on the other side of the line AB having the coordinates C  (0,3) and D(O,5) so that ST=BC= 4 units and TU=CD= 2units .

The possible coordinates of points C and D will be C(-8,3) ,D( -8,5) or C( 0,3) ,D( 0,5) so that quadrilateral RSTU is congruent to quadrilateral ABCD.

MrRissso [65]3 years ago
4 0
Do you have a picture of the grid?

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