Brainscape's Knowledge GenomeTM


Top Flashcards (Certified)
All Flashcards

Math II > Ch. 8 > Flashcards

Ch. 8 Flashcards

(82 cards)

Start Studying
1
Q

Converse of Corresponding Angles Postulate

A

If 2 lines r intersected by a transversal, & corresponding angles are congruent, then the lines are parallel.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Converse of Cointerior Angles Theorem

A

If 2 lines r cut by a transv & cointerior angles r supp, then the lines r parallel

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Converse of Alt Interior Angles Theorem

A

If 2 lines r cut by a transv & alt interior angles r congruent, then the lines r parallel

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Perpendicular & Parallel Th

A

If 2 lines r perp 2 the same transversal, then they r parallel.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Perp & Transversal Th

A

If a transv is perp to one of two parallel lines, then it is also perp to the other line.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

trapezoid

A

quadrilateral with only 1 pair of parallel sides

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Triangle Sum Th

A

the sum of the measures of the angles of a triangle is 180

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Quadrilateral Sum Th

A

The sum of the measures of the angles of a quadrilateral is 360.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Converse of Quadrilateral Th

A

If both pairs of opp angles of a quadrilateral r equal, then the quadrilateral is a parallelogram.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Exterior Angle Th

A

An exterior angle of a triangle is equal in measure to the sum of its 2 remote interior angles.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

definition of similar

A

2 triangles are similar iff their vertices can be matched up so that the corresponding angles are equal & corresponding sides are in proportion.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

definition of congruent

A

2 triangles r congruent iff their vertices can be matched up so that the corresponding parts (angles & sides) of the triangles r equal in measure.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Triangle Similarity Postulate (AA Post.)

A

If 2 angles of a triangle r equal to 2 angles of another triangle, then the 2 triangles are similar.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

How to find any angle of a triangle?

A

A = 1/2ab sin C

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

trig

A

SOH CAH TOA

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Overlapping Similar Triangles

A

If a line is drawn from a point on one side of a triangle parallel to another side, then it forms a triangle similar to the original side.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

ASA Theorem

A

If 2 angles & the included side of 1 triangle are equal to the corresponding angles and side of another triangle, then the triangles are congruent.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

AAS Theorem

A

If 2 angles and a non-included side of 1 triangle r equal to corresponding angles and side of another triangle, then the triangles are equal.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

ASS

A

ASS IZ NOT GOOD

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

SAS Postulate

A

If 2 sides & the included angle of 2 triangle r equal to the corresponding sides & angle of another triangle, then the triangles r congruent.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

angle bisector

A

a ray that begins in the vertex of an angle & divides the angle into 2 equal parts

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

segment bisector

A

a ray, line, or segment that divides a segment into two equal parts

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

perpendicular bisector

A

a line, ray, / segment that bisects the segment & is perpendicular to it

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

Hypotenuse-Leg Theorem

A

2 right triangles are equal if the hypotenuse & leg of 1 triangle are equal to the hypotenuse & leg of the other triangle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
isosceles triangle
a triangle w/ 2 sides = in measure
26
equilateral triangle
a triangle in which all the sides are equal in measure
27
equiangular triangle
a triangle in which all the angles are equal in measure
28
Isosceles Triangle Theorem
If 2 sides of a triangle r = in measure, then the angles opposite those sides are = in measure
29
Converse of Isosceles Triangle Th
If 2 angles of a triangle r equal in measure, then the sides opposite those angles r = in measure
30
Equilateral Triangle Th
If a triangle is equilateral, then it's also equiangular
31
Converse of Equil Triangle Th
If a triangle is equiangular, then it's equilateral.
32
Perpendicular Bisector Th
If a point is the same distance from both ends of a segment, then it lies on the perp bisector of the segment
33
Similar Right Triangle Th
If the altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed r similar to each other & the original triangle.
34
geometric mean
If a, b, and x r positive numbers, and a/x = x/b, then x is the geometric mean b/w a and b. The GM is ALWAYS the pos root
35
Geometric Mean Th
If the altitude is drawn to the hyp of a right triangle, then the msr of the altitude is the geometric mean b/w the measures of the parts of the hypotenuse.
36
30-60-90
Opp 30 - x Hypotenuse - 2x Opp 60 - x[3
37
45-45-90
Opp 45's - x Hypotenuse - x[2
38
trigonometry
SO-CAH-TOA
39
sin, cos, and tan of 30
1/2, [3/2, [3/3 or 1/[3
40
sin, cos, and tan of 60
[3/2, 1/2, [3
41
sin, cos, and tan of 45
[2/2 or 1/[2, [2/2 or 1/[2, 1
42
Pythagorean Theorem
In any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. c2 = a2 + b2
43
If 2 lines r intersected by a transversal, & corresponding angles are congruent, then the lines are parallel.
Converse of Corresponding Angles Postulate
44
If 2 lines r cut by a transv & cointerior angles r supp, then the lines r parallel
Converse of Cointerior Angles Theorem
45
If 2 lines r cut by a transv & alt interior angles r congruent, then the lines r parallel
Converse of Alt Interior Angles Theorem
46
If 2 lines r perp 2 the same transversal, then they r parallel.
Perpendicular & Parallel Th
47
If a transv is perp to one of two parallel lines, then it is also perp to the other line.
Perp & Transversal Th
48
quadrilateral with only 1 pair of parallel sides
trapezoid
49
the sum of the measures of the angles of a triangle is 180
Triangle Sum Th
50
The sum of the measures of the angles of a quadrilateral is 360.
Quadrilateral Sum Th
51
If both pairs of opp angles of a quadrilateral r equal, then the quadrilateral is a parallelogram.
Converse of Quadrilateral Th
52
An exterior angle of a triangle is equal in measure to the sum of its 2 remote interior angles.
Exterior Angle Th
53
2 triangles are similar iff their vertices can be matched up so that the corresponding angles are equal & corresponding sides are in proportion.
definition of similar
54
2 triangles r congruent iff their vertices can be matched up so that the corresponding parts (angles & sides) of the triangles r equal in measure.
definition of congruent
55
If 2 angles of a triangle r equal to 2 angles of another triangle, then the 2 triangles are similar.
Triangle Similarity Postulate (AA Post.)
56
If a line is drawn from a point on one side of a triangle parallel to another side, then it forms a triangle similar to the original side.
Overlapping Similar Triangles
57
If 2 angles & the included side of 1 angle are equal to the corresponding angles and side of another triangle, then the angles are congruent.
ASA Theorem
58
If 2 angles and a non-included side of 1 triangle r equal to corresponding angles and side of another triangle, then the triangles are equal.
AAS Theorem
59
ASS IZ NOT GOOD
ASS
60
If 2 sides & the included angle of 2 triangle r equal to the corresponding sides & angle of another triangle, then the triangles r congruent.
SAS Postulate
61
a ray that begins in the vertex of an angle & divides the angle into 2 equal parts
angle bisector
62
a ray, line, or segment that divides a segment into two equal parts
segment bisector
63
a line, ray, / segment that bisects the segment & is perpendicular to it
perpendicular bisector
64
2 right triangles are equal if the hypotenuse & leg of 1 triangle are equal to the hypotenuse & leg of the other triangle
Hypotenuse-Leg Theorem
65
a triangle w/ 2 sides = in measure
isosceles triangle
66
a triangle in which all the sides are equal in measure
equilateral triangle
67
a triangle in which all the angles are equal in measure
equiangular triangle
68
If 2 sides of a triangle r = in measure, then the angles opposite those sides are = in measure
Isosceles Triangle Theorem
69
If 2 angles of a triangle r equal in measure, then the sides opposite those angles r = in measure
Converse of Isosceles Triangle Th
70
If a triangle is equilateral, then it's also equiangular
Equilateral Triangle Th
71
If a triangle is equiangular, then it's equilateral.
Converse of Equil Triangle Th
72
If a point is the same distance from both ends of a segment, then it lies on the perp bisector of the segment
Perpendicular Bisector Th
73
If the altitude is drawn to the hypotenuse of a right triangle, then the 2 triangles formed r similar to each other & the original triangle.
Similar Right Triangle Th
74
If a, b, and x r positive numbers, and a/x = x/b, then x is the geometric mean b/w a and b. The GM is ALWAYS the pos root
geometric mean
75
If the altitude is drawn to the hyp of a right triangle, then the msr of the altitude is the geometric mean b/w the measures of the parts of the hypotenuse.
Geometric Mean Th
76
Opp 30 - x Hypotenuse - 2x Opp 60 - x[3
30-60-90
77
Opp 45's - x Hypotenuse - x[2
45-45-90
78
SO-CAH-TOA
trigonometry
79
1/2, [3/2, [3/3 or 1/[3
sin, cos, and tan of 30
80
[3/2, 1/2, [3
sin, cos, and tan of 60
81
[2/2 or 1/[2, [2/2 or 1/[2, 1
sin, cos, and tan of 45
82
In any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. c2 = a2 + b2
Pythagorean Theorem

Math II (17 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions