EMHS_25F_IM2_IM2-Fall Final Review split by section

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What are the Theorems or Postulates to prove triangles are similar?

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What postulate or theorem can be used to prove that the two triangles are similar?

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\Delta TUV and \Delta JKL are similar by SSS similarity postulate.

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In \Delta ABC and \Delta FGH are triangles such that \frac{AB}{FG}=\frac{BC}{GH}, which of the following would be sufficient to prove the triangles are similar?

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Given:  \overline{PQ} \parallel \overline{BC}.  Find the length of \overline{AB}.

AB = _______ 

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\Delta ABC is not similar to \Delta HGF.

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\overline {PQ} \parallel \overline {BC}.  Find AB.

AB=_______ 

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Use the diagram where \Delta PQR \sim \Delta ABC to solve for x.

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Use the diagram where \Delta PQR \sim \Delta ABC to solve for x and y. 

x=_______ ,y=_______ 

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Two triangles are similar.  Solve for x and y.

x=_______ ,y=_______ 

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How long is the shorter ladder?

_______ ft

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Two ladders are leaning against a wall at the same angle. Find the missing length of the ladder.

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Find the value of h.

h=_______ m

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What is m<ACB?

m<ACB=_______ degrees

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Find the value of x.

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Find the value of x.

x=_______

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Find the measure of the angle indicated. 

_______ degrees

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Find the measure of each angle. 

m<BCA=_______ degrees
m<DCE=_______ degrees
m<DEF=_______ degrees
m<BAG=_______ degrees
m<GAH=_______ degrees

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Write the sides of \Delta EFG in order from shortest to longest.

__________

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The following two angles form a linear pair (6x-3)^{\circ} and (7x+27)^{\circ}.  What are the measures of the angles?
x=_______ 
Angles are _______ and _______ .

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For two complementary angles, <A and <B, m<A=(7x-11)^{\circ} and m<B=(4x+2)^{\circ}.  Find m<A.
m<A=_______ degrees

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Find the sum of the interior angles for the following polygons.
a.  


_______ degrees

b. 13-gon 
_______ degrees

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What is m<C in the quadrilateral shown below?

x=_______ 
m<C=_______ degrees

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Which of the following sets of numbers could represent the lengths of the sides of a triangle?

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Which of the following sets of numbers could represent the lengths of the sides of a triangle?

1

Determine whether the following set of side lengths form a Pythagorean Triple?

21,28,35
14,26,35

Pythagorean Triple
Not a Pythagorean Triple

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What would be the possible values of x?

_______ <x<_______ 

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What would be the possible values of x?

_______ <x<_______ 

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If the side lengths of a triangle are 6,14, and 18, the triangle is _______.

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If the side lengths of a triangle are 21,28, and 35, the triangle is _______.

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Given: <B\cong <E and <C \cong <F. What other piece of information is needed to show \Delta ABC \cong \Delta DEF by ASA Congruence Postulate?

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__________
__________
__________

Required

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Find cos Z

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Find the missing side lengths.  Leave your answers as radicals in simplest form.
 
j=_______ ,k=_______

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What is the value of p and q in the triangle shown below?

p=_______ 
q=_______

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What are the values of x and y in the triangle below?

x=_______ ,y=_______ 

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Find the missing side lengths.  Leave your answer as radicals in simplest form.

x=_______, y=_______

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How many meters tall is the triangle?  Round to the nearest tenths. 

h=_______ m

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How many feet tall is the triangle?  Round to the nearest tenths.

h=_______ m

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Find the measure of the indicated angle to the nearest degree.

_______ degrees

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Find the area of the triangle below.  Round your answer to the nearest tenth. 

Area = _______ m^{2}

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__________

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Find the volume of the pyramid. 

Volume =

_______ _

yd^{3}

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Find the volume of the cylinder.  Leave the answer in terms of \pi. 

volume = _______ in^{3}

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Find the volume of the sphere.  Leave the answer in terms of \pi.

volume = _______ cm^{3}

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Find the volume of the cone.  Leave the answer in terms of \pi.

volume = _______ cm^{3}

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Find the volume of the prism.

volume = _______ cm^{3}

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Find the volume of the composite figure, and round to the nearest hundredth.

Volume = _______ cm^{3}

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Find the volume of the composite figure, and round to the nearest hundredth.

volume =_______ yd^{3}

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Two supplementary angles measure  (4x+25)^{\circ} and (6x-15)^{\circ}.  What are the measures of the angles?
_______ degrees, _______ degrees

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\Delta ABC is reflected across the y-axis and then translated using (x,y)\rightarrow (x-2,y-2).  What are the coordinates of the final image?

A(-3,-1) \rightarrow A^{''}_______ 
B(2,4) \rightarrow B^{''}_______ 
C(2,-1) \rightarrow C^{''}_______

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\Delta KZM is reflected across the y-axis and then translated using (x,y)\rightarrow (x-3,y+4).  What are the coordinates of the final image?

K(5,0) \rightarrow K^{''}_______ 
Z(2,-1) \rightarrow Z^{''}_______ 
M(3,-5) \rightarrow M^{''}_______

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Look at the graph below.  \Delta E^{'}F^{'}G^{'} is a dilation of \Delta EFG.  

a.  Is the image an enlargement or reduction of the preimage? _______ 
b. What is the scale factor of the dilation?_______

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Look at the graph below. 

a.  Is the image an enlargement or reduction of the preimage? _______ 
b. What is the scale factor of the dilation?_______

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Find all the missing angles.

m<1
m<2

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Solve for x.

x=_______

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Solve for x.

x=_______

1

Solve for x. 

x=_______

1

Solve for x. 

x =_______

1

Solve for x. 

x=_______

1

Solve for x. 

x=_______

1

Solve for x and y.

x=_______ ,y=_______

Required

1

Simplify

Required

1

Solve for r. 

r=_______ 

Required

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Solve for x.

Required

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Simplify

Required

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EMHS_25F_IM2_IM2-Fall Final Review split by section

What are the Theorems or Postulates to prove triangles are similar?

What postulate or theorem can be used to prove that the two triangles are similar?

\Delta TUV and \Delta JKL are similar by SSS similarity postulate.

In \Delta ABC and \Delta FGH are triangles such that \frac{AB}{FG}=\frac{BC}{GH}, which of the following would be sufficient to prove the triangles are similar?

\Delta ABC is not similar to \Delta HGF.

Use the diagram where \Delta PQR \sim \Delta ABC to solve for x.

Two ladders are leaning against a wall at the same angle. Find the missing length of the ladder.

Find the value of x.

Which of the following sets of numbers could represent the lengths of the sides of a triangle?

Which of the following sets of numbers could represent the lengths of the sides of a triangle?

Determine whether the following set of side lengths form a Pythagorean Triple?

If the side lengths of a triangle are 6,14, and 18, the triangle is _______.

If the side lengths of a triangle are 21,28, and 35, the triangle is _______.

Given: <B\cong <E and <C \cong <F. What other piece of information is needed to show \Delta ABC \cong \Delta DEF by ASA Congruence Postulate?

Find cos Z

Find all the missing angles.

Simplify

Solve for x.

Simplify

Multiple Response: Are the following triangles similar? Click all that apply.

What are the Theorems or Postulates to prove triangles are similar?

What postulate or theorem can be used to prove that the two triangles are similar?

\Delta TUV and \Delta JKL are similar by SSS similarity postulate.

Would the triangles below be similar? If so, what theorems could you use to prove similarity?

In \Delta ABC and \Delta FGH are triangles such that \frac{AB}{FG}=\frac{BC}{GH}, which of the following would be sufficient to prove the triangles are similar?

\Delta ABC is not similar to \Delta HGF.

Use the diagram where \Delta PQR \sim \Delta ABC to solve for x.

Two ladders are leaning against a wall at the same angle. Find the missing length of the ladder.

Find the value of x.

Which of the following sets of numbers could represent the lengths of the sides of a triangle?

Which of the following sets of numbers could represent the lengths of the sides of a triangle?

Determine whether the following set of side lengths form a Pythagorean Triple?

In triangle ABC, m<A = (5x+9)^{\circ}, m<C=79^{\circ}, and m<B=(2+5x)^{\circ}. Classify the triangle.

If the side lengths of a triangle are 6,14, and 18, the triangle is _______.

If the side lengths of a triangle are 21,28, and 35, the triangle is _______.

Given: <B\cong <E and <C \cong <F. What other piece of information is needed to show \Delta ABC \cong \Delta DEF by ASA Congruence Postulate?

Find cos Z

Find all the missing angles.

Simplify

Solve for x.

Simplify

Multiple Response: Are the following triangles similar? Click all that apply.

Multiple Response:
Are the following triangles similar?
Click all that apply.

Multiple Response:
Are the following triangles similar?
Click all that apply.