Lesson 9-10 for exercise sets. &KDSWHU
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1.Use a compass and a straightedge to construct a triangle
that is congruent to triangle JKL. Name this figure
triangle DEF.
2.Tariq has a rug. Its design includes several congruent right triangles.
The longest side of a right triangle is the hypotenuse. The other sides
are the legs. On centimeter grid paper, draw right triangle RSTwith
legs of 5 cm and 12 cm. Then, using only a compass and straightedge,
construct a triangle congruent to it.
3.Write and Discuss Using any of the statements from Lesson 9-9
about congruent triangles, how do you know that triangles ACB
and GHI(on the preceding page) are congruent?
Using your straightedge, draw a line and label a
point X. This will be a vertex.
Open your compass to the length of one of the longer
lines given. With your compass on point X, draw an
arc intersecting the line you drew. Label the point of
intersection Y. This is the second vertex.
Open your compass to the length of the short side.
With the compass point at X, draw a large arc.
Open the compass to the length of the third side.
With the compass point at Y, make an arc intersecting
the second arc. Label this point of intersection Z.
This is the third vertex.
Use the straightedge to draw the two remaining
sides of your triangle.
You can also use a compass and straightedge to construct a
triangle from line segments.
Here are three line segments.
Use them to construct a triangle.
X
X Y
XY
X
Z
Y
Z
XY
L
J
K
