What are 2 ways you could name the plane?
Possible answers: GDE, GEF, GDF, FEG.
The next figure in the pattern is A, B, C, or D?
B
Assuming lines k and i are parallel. Name a pair of alternate exterior angles.
1 and 7
8 and 2
Which triangles are isosceles?
Triangle 3
If you wanted to construct the circumcenter of a triangle what lines would you construct to find the point of concurrency?
You would construct the 3 perpendicular bisectors of a triangle.
Name one of the lines visible in the figure.
Possible Answers, DE, EF, DF, HE with double arrow over the top.
Is the conjecture true or false?
An even number plus 3 is always odd.
If true provide two examples, if false, provide one counter example.
True.
Example: 4+3=7 and 10+3=13
Assuming lines k and i are parallel, name a pair of corresponding angles.
1 and 5
2 and 6
4 and 8
3 and 7
Which triangles are acute triangles?
Triangle 1
If you wanted to construct the incenter of a triangle what lines would you construct to find the point of concurrency?
You would construct the three angle bisectors of a triangle.
Name a linear pair of angles.
Possible answers:
Angle INM and Angle MNL.
Angle INJ and Angle JNL.
Determine if the conditional statement is true or false. If false provide a counter example.
"If two angles are acute, then they are complementary."
False. Angle 1 = 30 and Angle 2 = 40. Both are acute but they are not complementary.
Assuming lines k and i are parallel, name a pair of alternate interior angles.
4 and 6
3 and 5
Which triangles are scalene?
1, 2, and 4.
If you wanted to construct the centroid of a triangle what lines would you construct to find the point of concurrency?
You would construct the 3 medians of a triangle.
Name a pair of vertical angles.
Angle INJ and Angle MNL.
Determine if the conditional statement is true or false. If false provide a counter example.
"If and angle is acute, then its measure is less than 90°."
True.
These pairs of angles are congruent when formed by a transversal through parallel lines.
Corresponding, Alternate Interior, and Alternate Exterior.
Which postulate proves these two triangles are congruent?
SAS
If you wanted to construct the orthocenter of a triangle what lines would you construct to find the point of concurrency?
You would construct the 3 altitudes of a triangle.
Name a pair of complementary angles.
Angle INJ and Angle JNK
Determine if the conditional statement is true or false. If false provide a counter example.
"If two angles are supplementary, then at least one of them has a measure of 90°."
False. One doesn't have to be 90° for example, 120° and 60°."
These pairs of angles are supplementary when formed by a transversal through parallel lines.
Same-side interior angles.
What postulate proves these triangles are congruent?
Not enough information to tell if they are congruent.
Name the special properties of the circumcenter, incenter, and centroid.
Circumcenter is equidistant from the vertices.
Incenter is equidistant from the sides.
Centroid is the center of gravity or balance point.