Question
Shape Information:
Shape Type: Parallelogram
Angles:
∠D = 35°
∠E = 145°
∠F = 35°
∠G = 145°
Sides:
DE = 61 miles
EF = 68 miles
FG = 61 miles
GD = 68 miles
Shape Type: Quadrilateral (specifically, a kite due to two pairs of adjacent sides being equal in length)
Vertices:
T: (0, 0) - assumed starting point for simplicity
U: Defined by distance 46 mi and angle 35° from T
W: Defined by distance 68 mi from T and angle 145° from U
V: Defined by distance 46 mi from W and angle 35° from W
Sides:
TU: 46 mi
UW: 68 mi
WV: 46 mi
VT: 68 mi
Angles:
∠TUV: 145°
∠UWV: 145°
∠TWV: 35°
∠VTU: 35°
Using the information above explain are these shapes congruent
3 setences max
Make it look like a 7th grader who is I.E.P wrote it
Shape Type: Parallelogram
Angles:
∠D = 35°
∠E = 145°
∠F = 35°
∠G = 145°
Sides:
DE = 61 miles
EF = 68 miles
FG = 61 miles
GD = 68 miles
Shape Type: Quadrilateral (specifically, a kite due to two pairs of adjacent sides being equal in length)
Vertices:
T: (0, 0) - assumed starting point for simplicity
U: Defined by distance 46 mi and angle 35° from T
W: Defined by distance 68 mi from T and angle 145° from U
V: Defined by distance 46 mi from W and angle 35° from W
Sides:
TU: 46 mi
UW: 68 mi
WV: 46 mi
VT: 68 mi
Angles:
∠TUV: 145°
∠UWV: 145°
∠TWV: 35°
∠VTU: 35°
Using the information above explain are these shapes congruent
3 setences max
Make it look like a 7th grader who is I.E.P wrote it
Answers
GPT-4o mini
The parallelogram and the kite are not congruent because they have different shapes and angles. The parallelogram has angles of 35° and 145°, while the kite has the same angles but is formed differently. Also, the lengths of their sides are different, so they can't be the same size or shape.