Name _______________________________________ Date ___________________ Class __________________
Properties and Attributes of Triangles
Chapter 5 Practice Test
1. In ABC, B is on the perpendicular
bisector of AC , m∠A = (6x + 14)°,
and m∠ABC = (10x − 2)°. Find m∠C.
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2. Write an equation in point-slope form
for the perpendicular bisector of the
segment with endpoints (2, 4) and (6, 2).
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3. Find m∠DEF.
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4. Find the center of the circle
circumscribed about the triangle with
vertices (0, 0), (8, 0), and (6, 4).
6. Find the coordinates of the centroid of the
triangle with vertices at (−4, −2),
(1, 2), and (6, 3).
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7. Find the coordinates of the orthocenter of
TUV with T(0, 0), U(4, 4), and
V(1, 7).
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8. Find the value of x.
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9. What is m∠TAC?
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5. TG and GV are angle bisectors of
TUV. Find m∠VGT and the distance
from G to UV .
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10. Use indirect reasoning to explain why an
obtuse triangle cannot have a right angle.
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Properties and Attributes of Triangles
Chapter Test Form C continued
11. The lengths of two sides of a triangle are
7 and 12. Find the range of possible
lengths for the third side.
15. Write True or False. Multiplying each
number of a Pythagorean triple by a
nonzero whole number yields another
Pythagorean triple.
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12. List the angles of KLM with vertices
K(−2, −2), L(2, 6), M(7, −2) in order from
smallest to largest.
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16. The longest side of a triangle is
13 centimeters. Another side is
11 centimeters. If the triangle is
obtuse, write an inequality for the
range of values for the third side.
13. Find the range of values for x.
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17. Determine the perimeter of a square with
a diagonal of 72 centimeters.
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14. Determine the side lengths of the triangle.
18. Find the area of a 30°-60°-90° triangle
with hypotenuse length of 48 inches.
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry