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Triangles
Vocabulary
Algebra in Geometry
Solve it!
Solve it! Part 2
100
A right triangle has an angle that measures 56 degrees.  What is the measurement of the third angle?
What is 34 degrees?
100
This is the geometry word that means that two images are equal or have the same measurement OR that they are the SAME SIZE and the SAME SHAPE.
What is "congruent"?
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
Construct lines z and x as parallel lines. Line y is a transversal. Label a pair of corresponding angles.
Teacher needs to check!
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
Angles S and T sit beside each other on line V. Angle S has a measurement of 104.2 degrees. Construct this situation and find the measure of Angle T.
What is 75.8 degrees?
300
Construct Triangle GHI with an EXTERIOR angle extended from Angle G.   What are the names of the two remote interior angles?
What are angles H and I?
300
Angle F and Angle G sit within two parallel lines on opposite sides of a transversal. This is the term that describes the relationship between Angles F and G.
What are alternate interior angles?
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
A new school has a roof shaped like a triangle. The top angle measures 102 degrees. The back of the roof measures 46 degrees. THIS is the angle measurement of the front of the roof.
What is 32 degrees?
400
An isosceles triangle has two angles that measure 74 degrees. THIS is the measure of the third angle.
What is 32 degrees?
400
This is the term for a straight line that crosses two parallel lines.
What is a "transversal"?
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

If Triangle ABC has one angle that measures 71 degrees and another angle that measures 83 degrees, would it be SIMILAR to Triangle XYZ that has one angle that measures 83 degrees and another that measures 25 degrees? Why or Why Not?

No, they would not be similar because there are not two sets of congruent corresponding angles.

500
Triangle JKL has an exterior angle that sits beside Angle L and measures 86 degrees. Angle J measures 37 degrees. THIS is the measurement of angle K.
What is 49 degrees?
500
This is a geometry term that describes two angles that sit in the same position, but on two different parallel lines.
What is "corresponding angles"?
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

If Triangle ABC has one angle that measures 67 degrees and another angle that measures 41 degrees, would it be SIMILAR to Triangle XYZ that has one angle that measures 41 degrees and another that measures 72 degrees? Why or Why Not?

Yes, because there are two sets of cobgruent corresponding angles