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Triangles
Vocabulary
Algebra in Geometry
Solve it!
Pythagorean Theorem
100
A right triangle has an angle that measures 56 degrees.  What is the measurement of the third angle?
What is 34 degrees?
100

These are angles that are opposite of each other, but equal.

What are "vertical angles"?

100
Construct Triangle MNL. Angle M = 65 degrees. Angle L = 2x degrees. Angle N = x + 28 degrees. THIS is the value of x.
What is 29 degrees?
100
Two angles sit on a straight line. One of the angles measures 92 degrees.  What is the measurement of the other angle?
88 degrees
100

Determine if the following triangle side lengths form a right triangle AND justify your answer: 3 ft, 6ft, 4ft

No, because 9 + 16 = 25, not 36

200
A triangle has angles that measure 72 degrees, 23 degrees and x + 25 degrees. THIS is the value of x.
What is 60 degrees?
200
Angle J sits outside an extended line of Triangle FGH. Angle J is called THIS kind of angle.
What is an exterior angle?
200
Construct Triangle MNL. Angle M = 65 degrees. Angle L = 2x degrees. Angle N = (x + 28) degrees. THIS is the measurement of Angle L.
What is 58 degrees?
200
Two angles of a triangle measure 65 degrees and 43 degrees. What is the measurement of the third angle?
72 degrees
200

What is the missing side of a right triangle that has two legs that are 9 and 12?

What is 15?

300

Which of the following triangle side lengths do NOT form a triangle:

A.   5, 5, 5

B.   1, 2, 3

C.   15, 10, 21

B.   1, 2, 3

300

The longest side of a right triangle.

What is the hypotenuse?

300
Construct Triangle MNL. Angle M = 65 degrees. Angle L = 2x degrees. Angle N = x + 28 degrees. THIS is the measurement of Angle N.
What is 57 degrees?
300
Two remote interior angles of a triangle measure 34 degrees each. THIS is the measurement of the exterior angle.
What is 68 degrees?
300

What is the missing side length of a right triangle that has a leg of 36 and a hypotenuse of 39?

What is 15?

400

A triangle has two angles that measure 74 degrees. THIS is the measure of the third angle.

What is 32 degrees?

400

Angles whose sum equals 90 degrees

What are complementary angles?

400
Triangle JKL has angles measuring 104 degrees and 45 degrees. Triangle ROS has angles measuring 45 degrees and 31 degrees. Triangle GHI has angles measuring 63 degrees and 45 degrees. THESE are the two SIMILAR triangles.
What are Triangle JKL and Triangle ROS?
400
Two angles of a triangle measure x + 32 degrees. The third angle measures x + 8 degrees. THIS is the value of x.
What is 36 degrees?
400

Which triangles would NOT make a right triangle?

A.    4, 5, 3

B.    24, 18, 30

C.    5, 7, 9

What is C.   5, 7, 9

500

Triangle JKL has an exterior angle that measures 86 degrees. One remote interior angle measures 37 degrees. THIS is the measurement of the other remote interior angle.

What is 49 degrees?

500

The theorem that applies to ALL right triangles.

What is the Pythagorean Theorem?

500
Angle C and Angle D are remote interior angles of Triangle CDE. Angle F sits on the line extended past point E and measures 78 degrees. What is the sum of Angles C and D?
What is 78 degrees?
500
In Triangle PLM, angle P measures (3x + 14) degrees. Angle L measures (2x + 19) degrees. Angle M measures 22 degrees. Find the measures of Angle P and L.

P = 89 degrees

L = 69 degrees

500

What is the longest line segment in a right rectangular prism that is 9.6 cm long, 2.8 cm wide, and 7 cm tall? (round to nearest tenths place)

What is:12.2 cm