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Geometry Facts
Geometry Facts
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Contains facts and formulas from ALL geometry (VA SOL). SOL review.
Flashcards
30 cards
F
Practice quiz
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Host live
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Questions
30
Answers
1
Which equation can be used to solve for a segment length in the circle pictured?
a + d = b + c
ab = cd
ad = bc
ac = bd
2
Which of the following is NOT a property of parallelograms?
Diagonals bisect each other
opposite angles are congruent
opposite sides are congruent
Diagonals are congruent
3
What are the triangle similarity postulates
SSS, SAS, ASA, AAS, HL
SAS, SAS, AA
SAS, SAS, ASA, AAS
SSS, SAS, ASA, AAS, HL, AA
4
In a triangle, the largest side is always...
opposite the largest angle
labeled C
opposite the smallest angle
next to the largest angle
5
Which is the correct distance formula?
√(x1 +x2)2 + (y1 +y2)2
√(x2 - x1)2 + (y2 - y1)2
√(x2 +x1)2 - (y2 +y1)2
√(x2 +x1)2 + (y2 +y1)2
6
Use inverse trigonometry (sin
-1
) when looking to find a...
area
angle
side
ratio
7
Perpendicular lines have ______ slopes
opposite reciprocal
No
same
negative
8
The sum of the exterior angles of a polygon is...
(n-2)360
180
360
(n-2)180
9
What is the equation for arc length?
[(arc measure)- 360] *2πr
(arc measure)/360 *2πr
(arc measure)/360 *πr2
(arc measure)/360
10
What is the contrapositive of p -> q?
~p -> ~q
p -> q
~q -> ~p
q -> p
11
Which is the law of syllogism?
If p->q, then ~q -> ~p
If p-> q and q -> r, then p -> r
If p -> q and ~q, then ~p
If p -> q and p, then q
12
What are the triangle congruence postulates?
SSS, SAS, ASA, AAS, HL
SSS, SAS, AAS, SSA, HL
SSS, SAS, ASA, AAS, SSA, HL
SSS, SAS, ASA, AAS
13
In a 45-45-90 triangle, the hypotenuse is ___ times the leg.
√2
2
√3
3
14
To find the sum of the interior angles of a polygon, use...
n180
(n-2)180
(n-2)180/n
360
15
sin x =
adj/hyp
opp/hyp
opp/adj
adj/opp
16
The triangle inequality says that any two sides in a triangle must be ____ than the third side.
greater than
greater than or equal to
less than
less than or equal to
17
What is the slope formula?
x2 - x1 / y2 - y1
y1 + y2 / x1 + x2
y2 - y1 / x2 - x1
x2 - y2 / x1 - y1
18
If the point (x, y) is rotated 90
o
counter-clockwise, the new coordinates would be...
(y, -x)
(-y, -x)
(-x, y)
(-y, x)
19
For parallel lines cut by a transversal, which of the following are NOT congruent?
Consecutive Interior Angles
Corresponding Angles
Vertical Angles
Alternate Interior Angles
20
What does the symbol ^ mean?
Or
And
Not
Therefore
21
If the scale factor of two similar solids is a:b, then the ratio of the volumes is...
1 : 3
a2 : b2
a3 : b3
a : b
22
A parallelogram with perpendicular diagonals MUST BE a...
square
rectangle
Rhombus
Kite
23
What is the midpoint formula?
(x2 +x1)/2 , (y2 +y1)/2
(y2 - y1)/(x2 - x1)
(x2 +x1)/2 + (y2 +y1)/2
(x2 - x1)/2 , (y2 - y1)/2
24
If p-> q is the original conditional, what is the inverse?
~q -> ~p
p -> q
~p-> ~q
q -> p
25
If a
2
+ b
2
> c
2
, then the triangle is...
obtuse
acute
right
fancy
26
Which pair of angles is alternate exterior?
1 and 5
2 and 8
3 and 6
2 and 7
27
In a 30-60-90 triangle, the ratio of the short leg: long leg: hypotenuse is...
1 : 3 : √3
1 : √3 : 2
1: 1: √2
1 : 2 : √3
28
If the point (x, y) is reflected across the x-axis, the new coordinates would be...
(y, x)
(-x, -y)
(-x, y)
(x, -y)
29
Which equation can be used to find the measure of angle D?
(AB - BC)/2
AB/2
(BAC - BC)/2
AB - BC
30
A parallelogram has ___ lines of symmetry.
4
0
2
8
