Then/Now You used properties of parallelograms and determined whether quadrilaterals were...
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Transcript of Then/Now You used properties of parallelograms and determined whether quadrilaterals were...
![Page 1: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/1.jpg)
You used properties of parallelograms and determined whether quadrilaterals were parallelograms.
• Recognize and apply properties of rectangles.
• Determine whether parallelograms are rectangles.
![Page 2: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/2.jpg)
![Page 3: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/3.jpg)
A. x = 1
B. x = 3
C. x = 5
D. x = 10
Quadrilateral EFGH is a rectangle. If mFGE = 6x – 5 and mHFE = 4x – 5, find x.
![Page 4: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/4.jpg)
![Page 5: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/5.jpg)
Rectangles and Coordinate Geometry
Quadrilateral JKLM has vertices J(–2, 3), K(1, 4), L(3, –2), and M(0, –3). Determine whether JKLM is a rectangle using the Distance Formula.
Step 1 Use the Distance Formula to determinewhether JKLM is a parallelogram bydetermining if opposite sides are congruent.
![Page 6: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/6.jpg)
Rectangles and Coordinate Geometry
Since opposite sides of a quadrilateral have the same measure, they are congruent. So, quadrilateral JKLM is a parallelogram.
![Page 7: Then/Now You used properties of parallelograms and determined whether quadrilaterals were parallelograms. Recognize and apply properties of rectangles.](https://reader036.fdocuments.net/reader036/viewer/2022062518/5697bf781a28abf838c81a0f/html5/thumbnails/7.jpg)
Rectangles and Coordinate Geometry
Answer: Since the diagonals have the same measure, they are congruent. So JKLM is a rectangle.
Step 2 Determine whether the diagonals of JKLMare congruent.