Download 8 th Ch 9 Practice Quiz

8th Ch 9 Practice Quiz
Name ______________________________ Date ________________ Period _____
1.Suppose that
.
a. Identify the corresponding angles.
b. Determine the measurement(s).
∠ J corresponds to angle ∠ P
∠ K corresponds to angle ∠ Q
∠ L corresponds to angle ∠ R
b. State the relationships between the
corresponding angles.
∠ J≅∠P
∠ K ≅∠Q
∠ L≅∠R
3. Triangle ABC has vertices with coordinates
A(2, 5), B(4, 2), and C(2, 2).
a. Dilate
on the coordinate plane using
point C as the center of dilation and a
scale factor of 3 to form
.
c. Identify the corresponding sides.
∠ JK corresponds to angle ∠ PQ
∠ KL corresponds to angle ∠ QR
∠ JL corresponds to angle ∠ PR
d. State the relationship between the
lengths of the corresponding side
JK ≅ KL ≅ JL
PQ
QR
PR
e. Determine the lengths of
inches,
inches,
and
inches.
and
if
inches,
b. What are the coordinates of points
?
and
c. Is the dilation an enlargement or a
reduction? Explain your reasoning.
2. Given
centimeters,
centimeters.
with
centimeters, and
a. What other measurement(s) can you
determine? Explain how you know.
d. Describe the relationship between the
corresponding angles of the original triangle,
, and the image resulting from the
dilation,
.
e. Describe the relationship between the
sides of the original triangle,
, and the
image resulting from the dilation,
.
8th Ch 9 Practice Quiz
Name ______________________________ Date ________________ Period _____
4. Given
must be true?
. Which statement
8. Given
inches, and
with
inches.
inches,
a.
b.
c.
d.
Which is the length of
5. Triangle ABC is dilated to produce triangle
with scale factor
. Which describes
the relationship between the two triangles?
a.
b.
c.
d.
is an enlargement of
is a reduction of
is a mirror image of
.
6. What is the name of the point from which
a dilation is drawn?
a.
b.
c.
d.
Which is a correct conclusion?
a.
the vertex
the center of dilation
the origin of dilation
the corner
7. Suppose
,
, and
Which is a correct similarity statement?
a.
b.
c.
d.
3.6 inches
2.4 inches
8.1 inches
4 inches
9. Triangle XYZ has been enlarged with P as
the center of dilation and scale to form
triangle
.
.
.
a.
b.
c.
d.
?
b.
c.
d.
.