Download 2/10 8.1-8.5 Quiz Review stations materials File

8.1
8.2
8.3
8.1 Answers
1.
2.
3.
4.
1:3
2:1
b = 10, h = 5
x = 10
8.2 Answers
1. x = 10/3 ≈ 3.3
2. x = 6
8.3 Answers
AB BC CD DA
=
=
=
.
1. A ≅ E, B ≅ F, C ≅ G, and D ≅ H.
EF FG GH HE
2. All three pairs of corresponding sides are congruent; all three pairs of corresponding side
lengths are proportional (ratio of 1:2). So the triangles are similar by definition of similarity.
3. x = 4.8
8.4
8.5
8.4 Answers
1.
AB BC CA
=
=
DE EC CD
b. A ≅ D, so mD = 68º.
c. CE = 9
2. Because the triangles are isosceles, you can find mABC = mACB = 65º and mDBC =
mDCB = 52º. Since corresponding angles are not congruent, the triangles are not similar.
a.
8.5 Answers
1. Only DEF and GHJ are similar (ratio of side lengths 2:1).
2. The given corresponding side lengths are proportional (ratio 1:4). The included angles are
congruent because they’re vertical angles. So the triangles are similar by the SAS Similarity
Theorem.
Name:
Date:
Geometry
8.1
Simplify the ratios.
8 in.
1.
2 ft.
2.
1 km
500 m
3. ΔXYZ has an area of 25 square inches. The ratio of its base to its height
is 2:1. Find the base and height of ΔXYZ.
4. Solve the proportion:
x 5
=
8 4
BC AC
=
1. In the diagram,
. Find DC and BC.
DC EC
8.2
2. Find the geometric mean of 4 and 9.
8.3
1. Quadrilaterals ABCD and EFGH are similar. A List all the pairs of congruent angles. Write the
ratios of the corresponding sides in a statement of proportionality.
2. Decide whether the figures are similar using the definition of similarity. If they are similar, write a
similarity statement.
3. Pentagon ABCDE is similar to pentagon JKLMN. Find the value of x.
Name:
Date:
Geometry
8.4
1. In the diagram ΔABC ~ ΔDEC.
a. Write a statement of proportionality.
b. Find mD.
c. Find the length of CE.
2. Determine whether the triangles can be proved similar. If they are similar, write a similarity
statement. If they are not similar, explain why.
8.5
1. Which of the following triangles are similar? You must show all work!
2. Use the given lengths to prove that ΔABC ~ ΔDEC.