Circumcenter of a Triangle Practice
Authored by Abigail Robinson
Mathematics
9th - 12th Grade
CCSS covered
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16 questions
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1.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
Circumcenters are equidistant to the vertices of the triangle, so the segments that go from the circumcenter to the vertices are congruent.
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
2.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
You'll need to solve for x, then plug it back in.
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
3.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
You'll need the Pythagorean Theorem to find CG or DG, then double it for the full side.
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
4.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
OFF
Answer explanation
Since circumcenters are created by perpendicular bisectors, the sides have been cut into two congruent segments. You'll solve for x and plug it in, then use the Pythagorean Theorem to find PD (which is congruent to other segments that are equidistant to the vertices).
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
5.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
The sides have been bisected, to you will have two congruent segments. You will solve for x and plug it back in to one of the expressions. That will give you half that side.
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
6.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
Use the Pythagorean Theorem to find KR (which is congruent to RM since the sides were bisected).
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
7.
MATH RESPONSE QUESTION
2 mins • 1 pt
Mathematical Equivalence
ON
Answer explanation
Use the length of DJ (or EJ) to use the Pythagorean Theorem to find DH (or EH). Find the full length of DE and set it equal to the expression for DE to solve for x.
Tags
CCSS.MATH.CONTENT.HSG.SRT.C.8
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