Use the figure below to answer question. Let m∠MQP= 80.
m∠MQN=
m∠NQP=
If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x and y.
x=
y=
If l ∥ m, then solve for x.
Find the sum of the measures of the interior angles in each polygon.
16-gon
20-gon
100-gon
Find the sum of the measures of the interior angles in each polygon.
(Round your answer to the nearest tenth.)
14-gon
Each angle is
25-gon
Each angle is
85-gon
Each angle is
What is the sum of the exterior angles of any polygon?
What is the formula to find one exterior angle of any polygon?
Find each missing angle measures.
m∠1=
m∠2=
m∠3=
m∠4=
m∠5=
Find the value of x.
Find the value:
x=
m∠D=
m∠E=
m∠F=
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
14 and 22
a) Set up difference and sum that shows the possible range of side lengths for the third side
b) Write the inequality the shows the range of lengths that could be a third side this triangle:
Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:
31 and 28
a) Set up difference and sum that shows the possible range of side lengths for the third side
b) Write the inequality the shows the range of lengths that could be a third side this triangle:
This is an example of what kind of dilation?
Scale factor can be written as (x,y)→(kx, ky)
The scale factor is of this example is (x,y)→
This is an example of what kind of dilation?
Scale factor can be written as (x,y)→(kx, ky)
The scale factor is of this example is (x,y)→
A music store has 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and
16 trombones in stock.
Write each ratio in simplest form.
trumpets to violins
write it as a fraction
flutes to clarinets
write it as a fraction
trombones to trumpets
write it as a fraction
violins to total instruments
write it as a fraction
Use the given ratios to solve each problem:
The ratio of the measures of the three angles in a triangle is 10:3:7. Find the measure of the largest angle.
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.
Use this similarity statement △FGH ~△JKH to list the similar parts.
∠H=∠
∠J=∠
∠G=∠
JH~
GH~
FG~
Use the Triangle Proportionality Theorem to solve for x.
x=
Use the Triangle Proportionality Theorem to solve for x.
x=
Use the Parallel Lines and Proportional Parts to solve for x.
x=
Use the Pythagorean Theorem to find the missing side of the following triangle.
(Round your answer to the nearest tenth.)
x=
Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.
Solve for x. (Round your answer to the nearest tenth.)
Solve for x and y. (Round your answer to the nearest tenth.)
x=
y=
Solve for x. (Round your answer to the nearest tenth.)
Solve for x. (Round your answer to the nearest tenth.)
What is the correct ratio of sides for each trigonometric function?
sin ϴ=
cos ϴ=
tan ϴ=
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=
cos θ=
tan θ=
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.
sin θ=
cos θ=
tan θ=
▱LMNP is a parallelogram.
Solve for x.
What is the length of LM?
M∠P=
M∠N=
M∠L=
▱ABCD is a parallelogram.
Solve for x.
Find m∠R
Find m∠Q
▱STUV is a parallelogram.
If TV = 74 and WV = 4x + 1, solve for x.
If each quadrilateral below is a rectangle, find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )
m∠BCD=
m∠ADE=
m∠ABD=
m∠AEB=
m∠CBE=
m∠DEA=
If each quadrilateral below is a rectangle, find the missing measures.
VW=
WX=
YW=
ZX=
VX=
If each quadrilateral below is a rhombus, use the given information to find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )
m∠KNL=
m∠KJL=
m∠MLK=
m∠JKM=
m∠JML=
If each quadrilateral below is a rhombus, use the given information to find the missing measures.
x=
Do not for get to use the degree symbol in your answers. ( ° )
m∠ADB=
m∠BAD=
If the quadrilateral below is a square, find the missing measures.
Do not forget to use the degree symbol in your answers. ( ° )
m∠EFG=
m∠GDH=
m∠GEF=
m∠DHG=
If the quadrilateral below is a square, solve for x and find the missing measures.
x=
Do not forget to use the degree symbol in your answers. ( ° )
m∠RQT=
m∠PTQ=
If the quadrilateral below is a trapezoid, find the missing measures.
Find x=
Do not forget to use the degree symbol in your answers. ( ° )
m∠VST=
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
Name the angle relationship between the two indicated angles in the diagram:
These angles are on side(s) of the transversal and the other two lines. Therefore these angles are .
If m∠1 = 62°, find each measure.
m∠2=
m∠3=
m∠4=
m∠5=
m∠6=
m∠7=
m∠8=
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
Given the 2 line are cut by a transversal and are parallel:
What is the measure missing angle?
What is the reason? (Use Notes Page 3 to help you).
If l ∥ m, then solve for x.
If l ∥ m, then solve for x.
Find the value of x.
x=
Then, find the measure of each labeled angle.
(6x+20)° =
(8x)° =
Find the value of x.
x=
Then, find the measure of each labeled angle.
(7x+10)° =
(15x +16 )° =
Find the value of x.
x=
(8x-1)°=
Find the sum of the measures of the exterior angles in each polygon. (Round your answer to the nearest tenth.)
14-gon
Each angle is
25-gon
Each angle is
85-gon
Each angle is
Find the value of x and y.
x=
y=
Find the value of x.
x=
Graph and label each figure and its image under a dilation with the given
scale factor. Assume all dilations use the origin as the center of dilation.
J':
L':
K':
M':
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
Identify the center of dilation and scale factor of each dilation.
center of dilation (x,y)
scale factor
k=
After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)
x=
After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)
x=
After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)
x=
After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)
x=
The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.
If △JKL ~ △NMP, find the value of x.
x=
