NAME _______________________________________ DATE __________ PERIOD _______ SCORE ________
Module Test Form B Triangles and the Pythagorean Theorem
1.
Which of the following angles is a vertical angle with ∠6?
2. In the figure, line c is parallel to line d. Both of
these lines are cut by transversals a and b as
shown. If m∠12 = 60° and m∠14 = 80°, what are
the measures of the following angles?
m2 =
m1 =
3. A furniture designer built the bookcase shown. In the
diagram, line a is parallel to line b. If m∠1 = 85°, what
is m∠3? Justify your answer.
Module Test • Triangles and the Pythagorean Theorem
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4. Using the diagram shown, indicate the relationship
between each pair of angles by placing an X in the
appropriate column.
Alternate
Exterior Angles
Alternate
Interior Angles
Corresponding
Angles
Vertical
Angles
1 and 5
2 and 6
1 and 3
1 and 7
3 and 7
5. If two parallel lines are cut by a transversal, what is the relationship between interior
angles that are on the same side of the transversal: supplementary, complementary, or
vertical?
6. In ∆DEF, the measures of the angles D, E, and F, respectively, are in the ratio 2 : 4 : 4.
What are the measures of the angles?
mD =
mE =
mF =
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7. The drawing shows the view of the top of a building.
What is the value of x?
8. Natalie was asked to find the angle measures of a
triangle that has the ratio 1 : 3 : 5. Natalie made a
mistake in her work. Find the mistake and correct it.
Module Test • Triangles and the Pythagorean Theorem
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9. Find the angle measures for the following triangle.
The angle labeled x° measures
The angle labeled (x + 2)° measures
°.
°.
10. Consider the triangle shown.
Part A Determine if the following statement is true or false.
If two sides of a triangle are congruent, then its two base
angles are also congruent.
Part B Find the measure of angle A.
mA =
11. For each set of side lengths, determine whether or not they could represent a right
triangle. Write yes or no.
12, 24, 29
3, 4, 5
6, 8, 14
Module Test • Triangles and the Pythagorean Theorem
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12. The base of a 10-ft ladder stands 6 feet from the base of a house. Will
the ladder reach 7 feet high? Justify your answer.
13. What is the height of the tent shown in the figure?
feet
14. John drives his car 20 miles south and then 4.5 miles east. How far is John from where
he started? Round to the nearest tenth if necessary.
miles
Module Test • Triangles and the Pythagorean Theorem
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NAME _______________________________________ DATE __________ PERIOD _______ SCORE ________
15. A map of the area where Mary lives is shown.
How many miles is Troy from Middletown?
miles
16. Danni wants to make sure that a staircase forms a
right angle to ensure stability. Does the staircase
form a right triangle? Write yes or no.
17. Indicate whether or not each set of side lengths
would form a right triangle by placing an X in the
appropriate column.
Right
Triangle
Not a Right
Triangle
16, 34, 30
2, 4, 5
120, 95, 80
48, 14, 50
Module Test • Triangles and the Pythagorean Theorem
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NAME _______________________________________ DATE __________ PERIOD _______ SCORE ________
Module Test • Triangles and the Pythagorean Theorem
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NAME _______________________________________ DATE __________ PERIOD _______ SCORE ________
18. Find the distance between the two points (0, 6) and (5, 1). Round to the nearest
tenth if necessary.
units
19. Find the distance between the following pairs of points on
the coordinate plane. Round to the nearest tenth if
necessary.
distance between point A and point D =
units
distance between point B and point E =
units
20. Ryan is looking at a map of a theme park that is laid out in a coordinate system. Ryan is
currently located at (2, 3). A roller coaster is at (7, 8) and the water ride is at (9, 1).
Part A Graph the locations of Ryan, the roller coaster, and
the water ride on the coordinate plane.
Part B Is Ryan closer to the roller coaster or the water ride?
Module Test • Triangles and the Pythagorean Theorem
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