G.GPE.B.7.PolygonsintheCoordinatePlane
1 Triangle RST is graphed on the set of axes below.
[pic]
How many square units are in the area of [pic]?
|1) |[pic] |
|2) |[pic] |
|3) |45 |
|4) |90 |
2 On the set of axes below, the vertices of [pic] have coordinates [pic], [pic], and [pic].
[pic]
What is the area of [pic]?
|1) |10 |
|2) |20 |
|3) |25 |
|4) |50 |
3 Triangle DAN is graphed on the set of axes below. The vertices of [pic] have coordinates [pic], [pic], and [pic].
[pic]
What is the area of [pic]?
|1) |60 |
|2) |120 |
|3) |[pic] |
|4) |[pic] |
4 On the set of axes below, rhombus ABCD has vertices whose coordinates are [pic], [pic], [pic], and [pic].
[pic]
What is the area of rhombus ABCD?
|1) |20 |
|2) |24 |
|3) |25 |
|4) |48 |
5 The coordinates of vertices A and B of [pic] are [pic] and [pic]. If the area of [pic] is 24 square units, what could be the coordinates of point C?
|1) |[pic] |
|2) |[pic] |
|3) |[pic] |
|4) |[pic] |
6 Square ABCD has vertices [pic], [pic], [pic], and [pic]. What is the length of a side of the square?
|1) |[pic] |
|2) |[pic] |
|3) |[pic] |
|4) |[pic] |
7 The vertices of square RSTV have coordinates [pic], [pic], [pic], and [pic]. What is the perimeter of RSTV?
|1) |[pic] |
|2) |[pic] |
|3) |[pic] |
|4) |[pic] |
8 Rhombus STAR has vertices [pic], [pic], [pic], and [pic]. What is the perimeter of rhombus STAR?
|1) |[pic] |
|2) |[pic] |
|3) |[pic] |
|4) |[pic] |
9 The endpoints of one side of a regular pentagon are [pic] and [pic]. What is the perimeter of the pentagon?
|1) |[pic] |
|2) |[pic] |
|3) |[pic] |
|4) |[pic] |
10 Triangle ABC has vertices at [pic], [pic], and [pic]. Find the length of [pic] in simplest radical form.
11 The vertices of [pic] have coordinates [pic], [pic], and [pic]. Determine and state the area of [pic]. [The use of the set of axes below is optional.]
[pic]
12 Determine and state the area of triangle PQR, whose vertices have coordinates [pic], [pic], and [pic]. [The use of the set of axes below is optional.]
[pic]
13 Triangle ABC has coordinates [pic], [pic], and [pic]. Find the perimeter of the triangle. Express your answer in simplest radical form. [The use of the grid below is optional.]
[pic]
14 On the accompanying set of axes, graph and label the following lines:
[pic]
Calculate the area, in square units, of the triangle formed by the three points of intersection.
[pic]
1 ANS: 3
[pic][pic] [pic]
REF: 061622geo
2 ANS: 3 REF: 061702geo
3 ANS: 1
[pic] [pic]
REF: 061815geo
4 ANS: 2
Create two congruent triangles by drawing [pic], which has a length of 8. Each triangle has an area of [pic].
REF: 012018geo
5 ANS: 3
[pic] [pic]
REF: 081615geo
6 ANS: 2
[pic]
REF: 011313ge
7 ANS: 3
[pic]
REF: 081703geo
8 ANS: 4
[pic]
REF: 081808geo
9 ANS: 2
[pic]
REF: 011615geo
10 ANS:
[pic]
REF: 061331ge
11 ANS:
[pic] [pic]
REF: 081928geo
12 ANS:
[pic] [pic]
REF: 061926geo
13 ANS:
[pic]. [pic]
REF: 060936ge
14 ANS:
[pic]. 10. [pic]
REF: 010335a
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