unit 5 stuff idk man Flashcards

(33 cards)

1
Q

Parallelogram

A

A quadrilateral w/ both pairs of opp. sides parallel

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2
Q

If a quadrilateral is a parallelogram (1)

A

Then the opp. sides are congruent

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3
Q

If a quadrilateral is a parallelogram (2)

A

Then opp. angles are congruent

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4
Q

If a quadrilateral is a parallelogram (3)

A

Then its diagonals bisect each other

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5
Q

If both pairs of opp. sides of a quad. are congruent,

A

Then the quad. is a parallelogram

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6
Q

If both pairs of opp. angles of a quad. are congruent

A

Then the quad. is a parallelogram

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7
Q

If the diagonals of a quad. bisect each other,

A

Then the quad. is a parallelogram

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8
Q

If one pair of opp. sides of a quad are both congruent and parallel,

A

Then the quad. is a parallelogram

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9
Q

If two lines are parallel

A

Then all points on one line are equidistant from the other line

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10
Q

If 3 parallel lines cut off congruent segments on one transversal,

A

Then they cut off congruent segments on every transversal

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11
Q

A line that contains the midpoint of one side of a triangle and is parallel to another side,

A

passes through the midpoint of the third side

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12
Q

The segment that joins the midpoints of two sides of a triangle is (2 THINGS)

A
  1. Parallel to the third side
  2. Is half as long as the third side
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13
Q

Rectangle (DEF)

A

A quad. with 4 right angles

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14
Q

Rhombus (DEF)

A

A quad. with 4 congruent sides

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15
Q

Square (DEF)

A

A quad. with 4 right angles and 4 congruent sides

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16
Q

The diagonals of a rectangle-

A

-are congruent

17
Q

The diagonals of a rhombus-

A

-are perpendicular

18
Q

Each diagonal of a rhombus bisects-

A

-two angles of the rhombus

19
Q

The diagonals of a parallelogram-

A

-bisect each other

20
Q

The midpoint of the hypotenuse of a right triangle is-

A

-equidistant from the 3 vertices

21
Q

If an angle of a parallelogram is a right angle,

A

Then the parallelogram is a rectangle (HAS to be a parallelogram)

22
Q

If 2 consecutive sides of a parallelogram are congruent,

A

Then the parallelogram is a rhombus

23
Q

EX: In parallelogram ABCD, the diagonals meet at point E and AE=6, and BE+6. IS ABCD a rectangle?

A

Yes, because a parallelogram w/ congruent diagonals mean its a rectangle

24
Q

ES: You cut a parallelogram shaped quilt piece and measure the diagonals to be congruent. What is the shape?

A

Rectangle because the diagonals of the parallelogram are congruent

25
An angle formed by the diagonals of the quilt piece measures 90 degrees. Is the shape a square?
Yes, cuz its a rectangle and a rhombus at the same time
26
Trapezoid (DEF)
quad. with exactly one pair of parallel sides
27
Base (TRAPEZOID DEF)
Parallel sides
28
Leg (TRAPEZOID DEF)
Non-parallel sides
29
Isosceles Trapezoid
A trapezoid with congruent legs
30
Base angles of an isosceles trapezoid are-
-congruent
31
Median of a trapezoid
The segment that joins the midpoints of the legs
32
The median of a trapezoid- (2 THINGS)
1. Is parallel to the bases 2. Has a length equal to the average of the base lengths
33
FAMILY TREE!!!
Polygons ↓ Quadrilaterals ↙ ↘ Parallelograms Trapezoids ↙ ↘ ↓ Rectangles Rhombus Isosceles Trapezoids ↘ ↙ Square