Download presentation

1
**Special Quadrilaterals**

Honors Geometry

2
True/False Every square is a rhombus.

3
**TRUE – four congruent sides**

4
True/False If the diagonals of a quadrilateral are perpendicular, then it is a rhombus.

5
**False – diagonals don’t have to be congruent or bisect each other.**

6
True/False The diagonals of a rectangle bisect its angles.

7
**FALSE (draw an EXTREME rectangle!)**

8
True/False A kite with all consecutive angles congruent must be a square.

9
TRUE

10
True/False Diagonals of trapezoids are congruent.

11
FALSE – not always!

12
**A parallelogram with congruent diagonals must be a rectangle.**

True/False A parallelogram with congruent diagonals must be a rectangle.

13
TRUE

14
True/False Some rhombuses are rectangles.

15
**True – some rhombuses also have right angles**

16
True/False The diagonals of a rhombus are congruent.

17
False – not always!

18
True/False If the diagonals of a parallelogram are perpendicular, it must be a rhombus.

19
TRUE

20
True/False Diagonals of a parallelogram bisect the angles.

21
FALSE

22
True/False A quadrilateral that has diagonals that bisect and are perpendicular must be a square.

23
**FALSE (could be rhombus… right angles not guaranteed)**

24
**Sometimes/Always/Never**

A kite with congruent diagonals is a square.

25
**FALSE – could be, but diagonals don’t have to bisect each other.**

26
**Give the most descriptive name:**

A parallelogram with a right angle must be what kind of shape?

27
Rectangle

28
**Give the most descriptive name:**

A rectangle with perpendicular diagonals must be what kind of shape?

29
SQUARE

30
**Give the most descriptive name**

A rhombus with consecutive angles congruent must be a:

31
SQUARE

32
**Give the most descriptive name:**

A parallelogram with diagonals that bisect its angles must be a:

33
Rhombus

34
**Proving that a Quad is a Rectangle**

If a parallelogram contains at least one right angle, then it is a rectangle. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. If all four angles of a quadrilateral are right angles, then it is a rectangle.

35
**Proving that a Quad is a Kite**

If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is a kite.

36
**Proving that a Quad is a Rhombus**

If a parallelogram contains a pair of consecutive sides that are congruent, then it is a rhombus. If either diagonal of a parallelogram bisects two angles of the parallelogram, then it is a rhombus. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then the quadrilateral is a rhombus.

37
**Proving that a Quad is a Square**

If a quadrilateral is both a rectangle and a rhombus, then it is a square.

38
**Proving that a Trapezoid is Isosceles**

If the non-parallel sides of a trapezoid are congruent, then it is isosceles. If the lower or upper base angles of a trapezoid are congruent, then it is isosceles. If the diagonals of a trapezoid are congruent, then it is isosceles.

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google