Transcript Geometry Essential Skills Red Quiz LtoJ

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Find the next three terms in the
sequence 800, -400, 200, -100,
___, ___, ___
50, -25, 12.5
In the figure name a line.
D
E
A
B
C
AC
CA
What is the converse of this statement?
All brown dogs like to chase balls.
A) All dogs who like to chase balls are brown.
B) Some white dogs like to chase balls.
C) White dogs do not like to chase balls.
D) Brown dogs like to chase cats.
A
What are the coordinates of
the midpoint of segment
A(-3,3) and C(1,-2)
Midpoint (-1,1/2) or (-1, 0.5)
Ray AB and AE are opposite rays. Ray
AC and AF are opposite rays. Name three
adjacent angles to angle DAE
B
C
A
F
E
D
Angles FAE, CAD, & BAD
Find the measure of
an angle that is
supplementary to
angle XQZ
140
Find the value of x
47
Line AG is perpendicular to line CE,
line AC is perpendicular to line BF
and the point B is the midpoint of
line segment AC. Determine
whether the statement is true or
false.
1) Angle 3 is an acute angle.
2) Angles 2 and 3 are
complementary.
1)False
2)False
Find the
measures of
angles 1, 2,
and 3.
Angle 1 = 60
Angle 2 = 40
Angle 3 = 80
Find the measure
of each
numbered angle.
Angle 1 = 115 Angle 2 = 115
Angle 3 = 148 Angle 4 = 148
Find x so
that line l will
be parallel to
line m.
x = 10.25
Find the value
of x.
x = 27
Identify the
motion as a
translation,
reflection, or
rotation.
Reflection
Are the triangles
congruent? If so,
state the
congruence
theorem to explain
why triangles are
congruent.
Yes, SAS
Are the triangles
congruent? If so, state
the congruence
theorem to explain
why triangles are
congruent.
Yes, AAS
In triangle DEF,
DG, EH, and FI
are medians. Find
FG if GE = 8
FG = 8
Tell whether the bold
segment looks like an
altitude, a
perpendicular bisector,
both, or neither.
Perpendicular bisector
Find measure of
angle ABC if
segment BD is an
angle bisector of
angle ABC.
Angle ABC = 30
Determine whether each pair
of right triangles is congruent
by LL, HA, LA, or HL. If it is
not possible to prove that they
are congruent, write not
possible.
Not possible
Find the value of w
in the triangle.
Round to the
nearest tenth, if
necessary.
w = 17.9 mi
Replace (?) with <,>, or = to make statement true.
Angle CGD (?) Angle DGE
Angle CGD > Angle DGE
Find the
measure of
angle U.
Angle U = 62
List the sides in
order from least
to greatest
measure.
NF, MF, MN
Find x.
x = 68
In the figure,
BD = 74 and
AE = 29.
Find EC
EC = 29
Determine whether
the quadrilateral is
a parallelogram.
Yes
Find AC, AD,
and the measure
of angle ABD.
AC = 24cm,
AD = 14cm,
and angle
ABD = 59
Find the length
of the median.
3.8 mi
Solve the proportion:
8/14 = 12/a
a = 21
Determine whether
each pair of
polygons are
similar.
Yes Angles are
congruent 6/3 = 7/3.5
Find the
value of each
variable.
x = 4/3 and y = 2
Find the
value of x
x = 15
Determine
whether line
DE is parallel
to line CB
no
Find the
value of x
x = 15
The perimeter of triangle ABC is 24
feet. If triangle ABC is similar to
triangle LMN and the scale factor of
triangle ABC to triangle LMN is 2:3,
find the perimeter of triangle LMN.
Perimeter of triangle
LMN is 36 feet
The measure of an exterior angle
of a regular octagon is x+7. Find
x and the measure of each
exterior angle of the octogan.
X = 38 and each
exterior angle is 45
The height of a trapezoid is 9
centimeters. The bases are 8
centimeters and 12 centimeters
long. Find the area.
Area = 90 sq cm
Find the area of the
regular polygon. If
necessary, round to the
nearest tenth.
Area = 16.5 sq m
Determine whether the figure
has line symmetry. If it does,
copy the figure and draw all
lines of symmetry. If not,
write no.
In circle P, angle 2 = angle 1,
measure of angle 2 = 4x+35,
measure of angle 1 = 9x+5,
and segments BD and AC are
diameters. Find measure of
arc AB.
Measure of arc AB = 62
Find the length of a chord that is
5 inches from the center of a
circle with a radius of 13 inches.
24 inches
Use circle O to
find x. Length
of CD is 16 in
and the radius
is 10 in.
x = 6 in
Find the circumference of a circle
with a radius of 34 mm. Round
your answer to the nearest tenth.
Use at least 3 decimal places for
the value of pi.
213.6 mm
In a circle with radius of 5 cm,
find the area of a sector whose
central angle is 10 degrees.
Round to the nearest hundredth.
2.18 sq cm
#3 rectangular prism #4 cylinder
#5 tetrahedron or triangular pyramid
or Cube / Cylinder / Pyramid
Find the surface
area of the solid.
Round to nearest
whole number.
Surface area = 471 sq cm
Find the volume
of the solid and
round off to
nearest tenth, if
necessary.
Volume = 1200 cu cm
Find the lateral area of
the regular pyramid.
Round to the nearest
hundredth, if
necessary.
Lateral area = 192 sq ft
Find the volume of the
solid. Round to nearest
whole number.
Volume = 134 cu cm
Find the surface area
of the solid. Round to
the nearest hundredth,
using pi = 22/7
Surface area = 314.29 sq
cm
The objects are
similar. Find the
ratio of their
volumes.
Ratio = 343 / 125
Find the length of a diagonal
of a square with sides 10
inches long.
Length = 10√2 in
One side of an equilateral triangle
measures 6 cm. Find the measure of
an altitude of the triangle.
Altitude = 3√3
Find x to the
nearest tenth.
x = 20 m
Write the x
value in
calculator
ready form.
x = 75 sin(42) meters
In circle Q, measure of
angle ABC = 72 and
measure of arc CD = 46.
Find measure of arc AD.
Arc AD = 98
In circle P, find x.
Assume segments
that appear tangent
are tangent.
x = 12
Find the
measure of
angle 1.
Angle 1 = 22
In circle P, measure of
angle A = 62 and
measure of arc
BD = 120. Find
measure of angle E.
Angle E = 58
In circle P, CE = 6,
CD = 16, and
AB = 17. Find AE
AE = 12
Write the
equation of a
circle P based
on the graph.
(x-1)2 + (y+3)2 = 16
What geometry tool do you
use to measure an angle?
Protractor
In Burwell, Nebraska, the weather
report said today’s high was 3
degrees Fahrenheit with a wind-chill
factor of -10 degrees Fahrenheit. What
is the measure of the difference
between the two temperatures?
13 degrees
8 units
Determine whether the statement is true or false.
Explain your reasoning.
“If line segment AB is congruent to line
segment BC and line segment BC is
congruent to line segment XY, then line
segment AC is congruent to line
segment XY.”
False – line segment AB is
congruent to line segment XY
Which quadrants do these
points lie in: A(-2,2), B(4,-5),
and C(-3, -1)
A in quadrant 2
B in quadrant 4
C in quadrant 3
Name the
angle four
ways.
1) Angle P
2) Angle 8
3) Angle OPQ
4) Angle QPO
Classify angles as
acute, obtuse, or right.
1) angle JHI
2) angle KHI
3) angle MHI
1) Angle JHI is acute
2) Angle KHI is right
3) Angle MHI is obtuse
If measure of angle 3 = 45
and angle JLI = 20, then
find the measure of
angle ILK
Angle ILK = 65
Find the
slope of the
line.
Slope = 1/2
Classify triangle
by its angles
and by its sides.
By angles – right
By sides -- scalene
Identify the polygon
by its sides and state
if its regular or not
regular.
Octagon
Not regular
Name two
chords.
Chord AB
Chord AD
Simplify. Leave in radical form.
√5√30
5√6
Solve by
graphing.
Solve by the substitution method:
4x – 3y = -1
x+1=y
(x,y) = (2,3)
Solve the system by elimination.
x+y=7
x–y=9
(x,y) = (8,-1)
Solve this equation for x.
3(x-2) = x + 8
x=7
Simplify:
x/3 + 2/5 =
(5x+6) / 15
Simplify:
2/3 + 1/6
1/4 + 5/12
10/8 or 5/4 or 1 ¼
Solve for variable x
(x+1)/2 = 5/8
x = ¼ or 0.25