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1C Triangles
Find the value of x.
ALGEBRA Find
in
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if
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1C Triangles
ALGEBRA Find
in
if
BILLIARDS A triangle is used in the game of pool to rack the pool balls. Find the missing measure of the triangle.
NATURE Classify the marked triangle in the object by its angles and by its sides.
The triangle has three acute angles, so it is an acute triangle. All sides of the triangle are congruent, so it is
equilateral. It is an acute equilateral triangle.
The triangle has one right angle, so it is a right triangle. The triangle has no congruent sides, so it is scalene. It is a
right scalene triangle.
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The triangle has three acute angles, so it is an acute triangle. All sides of the triangle are congruent, so it is
1C Triangles
equilateral. It is an acute equilateral triangle.
The triangle has one right angle, so it is a right triangle. The triangle has no congruent sides, so it is scalene. It is a
right scalene triangle.
The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so it is isosceles.
It is an acute isosceles triangle.
DRAWING TRIANGLES Draw a triangle that satisfies the given conditions. Then classify the triangle.
a triangle with three acute angles and two congruent sides
Draw an acute angle. The two segments of the angle should be congruent. Connect the two segments to form a
triangle. The triangle is an acute isosceles triangle.
a triangle with one obtuse angle and two congruent sides
Draw an obtuse angle. The two segments of the angle should be congruent. Connect the two segments to form a
triangle. The triangle is an obtuse isosceles triangle.
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1C Triangles
a triangle with one obtuse angle and two congruent sides
Draw an obtuse angle. The two segments of the angle should be congruent. Connect the two segments to form a
triangle. The triangle is an obtuse isosceles triangle.
Find the value of x.
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1C Triangles
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1C Triangles
ALGEBRA Find
ALGEBRA In
in
,
if
?
Classify the marked triangle in the object by its angles and by its sides.
The triangle has three acute angles, so it is an acute triangle. All sides of the triangle are congruent, so it is
equilateral. It is an acute equilateral triangle.
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The triangle has three acute angles, so it is an acute triangle. All sides of the triangle are congruent, so it is
1C Triangles
equilateral. It is an acute equilateral triangle.
The triangle has three acute angles, so it is an acute triangle. All sides of the triangle are congruent, so it is
equilateral. It is an acute equilateral triangle.
The triangle has one obtuse angle, so it is an obtuse triangle. The triangle has two congruent sides, so it is isosceles.
It is an obtuse isosceles triangle.
The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so it is triangle. It
is an acute isosceles triangle.
The triangle has one obtuse angle, so it is an obtuse triangle. The triangle has two congruent sides, so it is isosceles.
It is an obtuse isosceles triangle.
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The triangle has one obtuse angle, so it is an obtuse triangle. The triangle has two congruent sides, so it is isosceles.
1C Triangles
It is an obtuse isosceles triangle.
The triangle has one right angle, so it is a right triangle. The triangle has no congruent sides, so it is scalene. It is a
right scalene triangle.
ART The sculpture below is entitled Texas Triangles. It is located in Lincoln, Massachusetts. What type of triangle
is shown: acute, right, or obtuse?
See page 685 of your text.
The triangle has one right angle so it is a right triangle.
ARCHITECTURE Use the photo below to classify the side view of the Transamerica building by its angles and by
its sides.
See page 685 of your text.
The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an
isosceles triangle. It is an acute isosceles triangle.
DRAWING TRIANGLES Draw a triangle that satisfies the given conditions. Then classify the triangle.
a triangle with three acute angles and no congruent sides
Draw an acute angle. The two segments of the angle should have different lengths. Connect the two segments to
form a triangle. The two new angles formed should also be acute, and the third segment should have a length that is
different from the first two segments. The triangle is an acute scalene triangle.
a triangle with one obtuse angle and two congruent sides
Draw an obtuse angle. The two segments of the angle should be congruent. Connect the two segments to form a
triangle. The triangle is an obtuse isosceles triangle.
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a triangle with three acute angles and three congruent sides
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1C Triangles
a triangle with three acute angles and three congruent sides
to form a triangle. The triangle is an acute equilateral triangle.
a triangle with one right angle and no congruent sides
Draw a right angle. The two segments of the angle should have different lengths. Connect the two segments to form
a triangle. The triangle is a right isosceles triangle.
Find the value of x for a triangle with the given angle measures.
x
x
x
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1C Triangles
x
x
x
x
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