Geometry
Two supplementary angles are in the ratio of 1 to 3. The measure of the larger angle is
135
Find x in this proportion. https://media.glynlyon.com/g_geo_2012/5/qu1018.gif x =
2/5
The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what is the length of the longest side?
24 cm
If a = 4 and b = 6, then c =
2√13
RST is an equilateral triangle; https://media.glynlyon.com/g_geo_2012/5/groa.gif If TX = 6 then RX = 3 2√3 6√3 12
2√3
Find x in this proportion. https://media.glynlyon.com/g_geo_2012/5/qu1019.gif x =
3
The sides of a triangle are in the ratio of 1:2:2 and the perimeter of the triangle is 15 feet. The length of the shortest side is
3 feet
In triangle RST, XY is parallel to RS If TX = 3, XR = TY, and YS = 6, find XR.
3√2
If a = 3 and c = 6, then b =
3√3
If RT = 6 and RS = 9, then RX = https://media.glynlyon.com/g_geo_2012/5/gpi8a.gif √(54) 13.5 7.2 4
4
RST is an equilateral triangle; .TX Perpendicular to RS https://media.glynlyon.com/g_geo_2012/5/groa.gif If RT = 8, then TX =
4√3
UW||RS TU = 3, RS = 15, TW = 4, TR = 9; UW = https://media.glynlyon.com/g_geo_2012/5/groupim6.gif
5
If RX = 4 and XS = 9, then XT = https://media.glynlyon.com/g_geo_2012/5/gpi8a.gif 6 6.5 √13 18
6
RST is an equilateral triangle; . https://media.glynlyon.com/g_geo_2012/5/groa.gif If RX = 3, then RT = 1.5 3√2 3√3 6
6
Find x in this proportion. https://media.glynlyon.com/g_geo_2012/5/qu1020.gif x=
8
TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is the length of WS? https://media.glynlyon.com/g_geo_2012/5/groupim6.gif
8
B= https://media.glynlyon.com/g_geo_2012/5/01.gif
B=45/4
Find the diagonal. l = 8, w = 4, h = 2 https://media.glynlyon.com/g_geo_2012/5/02.gif
D= 2√21
Find the diagonal. l = 8, w = 4, h = 2 https://media.glynlyon.com/g_geo_2012/5/02.gif
D= 4√5
A cross product is an equation which states that two ratios are equal.
False
If a/b=p/q, then a + b/b = p + b/q
False
In a 30-60-90 triangle, the hypotenuse is the shorter leg times the square root of two.
False
The ratio of 3 to 4 is written as 4/3.
False
The ratio of BC to AC is 4/3.
False
Find h, assuming the triangles formed are simaler https://media.glynlyon.com/g_geo_2012/5/group130.gif
H= 15
Find Px https://media.glynlyon.com/g_geo_2012/5/03.gif
Px= 2√3
Given: regular square pyramid Find Py. https://media.glynlyon.com/g_geo_2012/5/03.gif
Py= 4
All of the following are pairs of corresponding sides in similar triangles except https://media.glynlyon.com/g_geo_2012/5/gpi8a.gif RS and RT RX and TX RX and SX XS and TS
RX and SX
In RST , TX bisects angle RTS. Which of the following proportions must be true? RX/ST = TR/XS TX/XR = ST/RT RX/RT = SX/ST RX/RS = XS/ST
RX/RT = SX/ST
All of the following are ways to prove triangles congruent except: SSS SAS ASA SSA
SSA
A line parallel to one side of a triangle divides the other two sides proportionally.
True
A ratio compares two numbers by division.
True
If two sides of one triangle are proportional to two sides of another and included angles are equal, then the triangles are similar.
True
In the proportion 5/6=10/12 , the means are 6 and 10.
True
In writing the ratio of measurement numbers, the units must be the same.
True
The perimeters of similar triangles are in the same ratio as the corresponding sides.
True
The ratio of 6 inches to 3 feet expressed in simplest form is 1/6.
True
https://media.glynlyon.com/g_geo_2012/5/lnabc.gif The ratio of AB to BC is 1/3.
True
Find Y to the nearest 10th https://media.glynlyon.com/g_geo_2012/5/04.gif
X= 7.5
Find X to the nearest 10th https://media.glynlyon.com/g_geo_2012/5/04.gif
X=2.7
Y= https://media.glynlyon.com/g_geo_2012/5/01.gif
Y=15√3 4
Z= https://media.glynlyon.com/g_geo_2012/5/01.gif
Z=15√3 2
Using the Pythagorean Theorem, which of the triangles shown are right triangles? https://media.glynlyon.com/g_geo_2012/5/groupi80.gif
a
A= https://media.glynlyon.com/g_geo_2012/5/01.gif
a= 15/4
If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar.
always
The angles of similar triangles are equal.
always
The ratio of 3 to 4 and the ratio of 4 to 3 ________ the same number.
are not
A line that passes through two sides of a triangle divides the sides proportionally.
sometimes
An altitude drawn from a vertex of a triangle divides the opposite side proportionally.
sometimes
Similar triangles are congruent.
sometimes
If (x+2)/2 = y/5, then which of the following must be true?
x/2 = (y-5)/5
All of the following are equivalent to 3:8=x:32 except 8:3 = 32:x 3:x = 8:32 x:8 = 3:32 8:32 = 3:x
x:8 = 3:32
X= https://media.glynlyon.com/g_geo_2012/5/01.gif
x= 15/2
Find x. https://media.glynlyon.com/g_geo_2012/5/mis.gif
x= 2√41
Find x https://media.glynlyon.com/g_geo_2012/5/groe.gif
x=4
Given Angle 1 = Angle 2, https://media.glynlyon.com/g_geo_2012/5/grod.gif find x.
x=6
Y= https://media.glynlyon.com/g_geo_2012/5/mis.gif
y= 39
Z= https://media.glynlyon.com/g_geo_2012/5/mis.gif
z= 51
If b = 2 and c = 3, then a =
√5
