What should be the next step to construct an equilateral triangle? (Be careful!)
Geometry, Parallel and Congruence Unit Test

Quiz
•
Mathematics
•
10th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
Construct segments AC and BC.
Draw a circle centered at C with the radius AB.
Draw segment AD and AC.
2.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
The rule (x,y)→(5x, 5y) maps △ABC to △A′B′C′. Which statement correctly describes the relationship between △ABC and △A′B′C′?
The triangles are congruent because △A′B′C′ is a reflection of △ABC , and a reflection is a rigid motion.
The triangles are congruent because △A′B′C′ is a rotation of △ABC, and a rotation is a rigid motion.
The triangles are not congruent because △A′B′C′ is a reflection of △ABC, and a reflection is not a rigid motion.
The triangles are not congruent because △A′B′C′ is a translation of △ABC, and a translation is not a rigid motion.
3.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Mei draws three pairs of parallel lines that are each intersected by a third line. In each figure, she measures a pair of alternate interior angles. What is a reasonable conjecture for Mei to make by recognizing a pattern and using inductive reasoning?
When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.
When a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.
When a pair of parallel lines are intersected by a third line, the alternate interior angles are acute.
When a pair of parallel lines are intersected by a third line, all of the angles formed are obtuse.
4.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of same-side interior angles. What is a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning?
When a pair of parallel lines are intersected by a third line, the same-side interior angles are acute.
When a pair of parallel lines are intersected by a third line, all of the angles formed are supplementary.
When a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.
When a pair of parallel lines are intersected by a third line, all of the angles formed are acute.
5.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of vertical angles. What is a reasonable conjecture for Kathryn to make by recognizing a pattern and using inductive reasoning?
When a pair of lines intersect, all of the angles formed are congruent.
When a pair of lines intersect, the vertical angles are congruent.
When a pair of lines intersect, the vertical angles are acute.
When a pair of lines intersect, all of the angles formed are right angles.
6.
REORDER QUESTION
1 min • 5 pts
It is given that E is the midpoint of DF . So, DE ≅(answer 1) by the definition of midpoint. Therefore, DE=EF by the (answer 2) DE+EF=DF by the (answer 3) and so DE+DE (answer 4) by substitution. Simplifying gives 2DE=DF.
DF
Segment Addition Postulate
E
Segment Congruence Postulate
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Which statement is true about this argument? Premises: If a parallelogram has a right angle, then it is a rectangle. Parallelogram PQRSParallelogram PQRS has a right angle. Conclusion: Parallelogram PQRSParallelogram PQRS is a rectangle.
The argument is valid by the law of syllogism.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of detachment.
The argument is not valid because the premises are not true.
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