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EMHS_25F_IM2_IM2-Fall Final Review split by section

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Last updated 7 months ago
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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

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3.

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

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4.

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

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5.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

AB =

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7.

\Delta ABC is not similar to \Delta HGF.

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8.

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

AB=

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9.

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

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10.

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

x= ,y=

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11.

Two triangles are similar. Solve for x and y.

x= ,y=

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12.

How long is the shorter ladder?

ft

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13.

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

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14.

Find the value of h.

h= m

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

What is m<ACB?

m<ACB= degrees

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Find the value of x.

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17.

Find the value of x.

x=

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18.

Find the measure of the angle indicated.

degrees

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19.

Find the measure of each angle.

m<BCA= degrees

m<DCE= degrees

m<DEF= degrees

m<BAG= degrees

m<GAH= degrees

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

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26.

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

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27.

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

  • 21,28,35

  • 14,26,35

  • Pythagorean Triple

  • Not a Pythagorean Triple

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

What would be the possible values of x?

<x<

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29.

What would be the possible values of x?

<x<

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30.

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

  • Equangular

  • Right

  • Acute

  • Obtuse

  • Scalene

  • Isosceles

  • Equilateral

  • 9 degrees

  • 79 degrees

  • 47 degrees

  • 45 degrees

  • 54 degrees

  • x=

  • <A=

  • <B=

  • Classify the triangle (pick 2 choices)

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

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

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32.

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

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33.

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?

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

3.

5.

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36.

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

j= ,k=

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37.

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

p=

q=

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38.

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

x= ,y=

Asemmisa {{asɛmmisaAhyɛnsode}}
39.

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

x=, y=

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

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

h= m

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

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

h= m

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

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

degrees

Asemmisa {{asɛmmisaAhyɛnsode}}
43.

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

Area = m^{2}

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44.

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66.

Solve for r.

r=

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67.

Solve for x.

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68.

Simplify

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69.

Multiple Response:

Are the following triangles similar?

Click all that apply.