Geometry Test #6 Flashcards

1
Q

Distance Formula

A

d = √((x2 - x1)^2 + (y2 - y1)^2)

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2
Q

Slope Formula

A

m = (y2 - y1) / (x2 - x1)

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3
Q

Midpoint Formula

A

(x1 + x2)/2, (y1 + y2)/2

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4
Q

Slope-Intercept Form

A

y = mx + b (m is the slope, b is the y-intercept)

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5
Q

Point-Slope Form

A

y - y1 = m(x - x1)
(m is the slope, (x1, y1) is a point on the line)

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6
Q

Standard Form

A

Ax + By = C (A, B, C are constants)

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7
Q

Parallelogram

A

opposite sides are parallel and equal in length

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8
Q

Rectangle

A

four right angles and opposite sides are equal in length

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9
Q

Rhombus

A

all sides are equal in length and opposite angles are equal

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10
Q

Square

A

four right angles and all sides are equal in length

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11
Q

Trapezoid

A

exactly one pair of opposite sides are parallel

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12
Q

Ways of Proving Congruent Triangles:

A

SSS
SAS
ASA
AAS
HL (for right angles)

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13
Q

CPCTC

A

Corresponding parts of congruent triangles are congruent

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14
Q

Isosceles Triangle Definition

A

A triangle that has at least 2 congruent sides

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15
Q

Isosceles Triangle Theorem

A

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

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16
Q

Converse of the Isosceles Triangle Theorem

A

If 2 angles of a triangle are congruent, then the sides opposite them are congruent.

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17
Q

Median

A

connects a vertex of a triangle to the midpoint of the opposite side.

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18
Q

Altitude

A

connects a vertex of a triangle to the opposite side and is perpendicular to it.

19
Q

Angle Bisector

A

divides an angle into two congruent angles.

20
Q

Perpendicular Bisector

A

bisects a line segment and is perpendicular to it.

21
Q

Medians

22
Q

Altitudes

A

Orthocenter

23
Q

perpendicular bisectors

A

Circumcenter

24
Q

angle bisectors

25
Opposite sides of a ____ are congruent.
Opposite sides of a parallelogram are congruent
26
Opposite angles of a ___ are congruent
Opposite angles of a parallelogram are congruent
27
Diagonals of a parallelogram ___ each other
Diagonals of a parallelogram bisect each other
28
If both pairs of a quadrilateral are congruent, then the quadrilateral is a ___
If both pairs of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
29
If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a ___.
If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram.
30
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a __.
If both pairs of opposite angles of a parallelogram are congruent, then the quadrilateral is a parallelogram.
31
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a __.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
32
If two lines are parallel, then all points on one line are __ from the other line.
If two lines are parallel, then all points on one line are equidistant from the other line.
33
If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
If three parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
34
A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side.
35
The segment that joins the midpoints of two sides of a triangle... (1) is parallel to the third side (2) is half as long as the third side.
The segment that joins the midpoints of two sides of a triangle... (1) is parallel to the third side (2) is half as long as the third side
36
The diagonals of a rectangle are __.
The diagonals of a rectangle are congruent.
37
The diagonals of a rhombus are __.
The diagonals of a rhombus are perpendicular.
38
Each diagonal of a rhombus _______.
Each diagonal of a rhombus bisects two angles of the rhombus.
39
The midpoint of the hypotenuse of a right triangle is __ from the three vertices.
The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
39
The midpoint of the hypotenuse of a right triangle is __ from the three vertices.
The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.
40
If an angle of a __ is a right angle, then the __ is a __.
If the angle of a parallelogram is a right angle, then the parallelogram is a rectangle.
41
If two consecutive sides of a __ are congruent, then the __ is a __.
If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.
42
Base angles of an ___ are congruent.
Base angles of an isosceles trapezoid are congruent.