
Geometry | Unit 7 | Lesson 5: Triangles in Circles | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade
CCSS covered

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9 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
Do you agree with either of them? Explain or show your reasoning.
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
The distance between points \(E\) and \(B\)? Explain or show your reasoning.
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.CO.C.9
3.
OPEN ENDED QUESTION
3 mins • 1 pt
Construct the circumcenter of each triangle. Then, based on the locations of the circumcenters, classify each triangle as acute, right, or obtuse.
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Tags
CCSS.HSG.C.A.3
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Select all quadrilaterals that cannot be cyclic.
a square with side length \(\sqrt5\) units
a 2 inch by 4 inch rectangle
a rhombus with side length 5 centimeters and angle measures 20 degrees and 160 degrees
quadrilateral \(ABCD\) in which angle \(A\) is 62 degrees, angle \(B\) is 97 degrees, angle \(C\) is 118 degrees, and angle \(D\) is 83 degrees
quadrilateral \(WXYZ\) in which angle \(W\) is 45 degrees, angle \(X\) is 135 degrees, angle \(Y\) is 90 degrees, and angle \(Z\) is 90 degrees
Tags
CCSS.2.G.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A quadrilateral \(ABCD\) has the given angle measures. Select the set of measurements which could come from a cyclic quadrilateral.
angle \(A\) is 70\(^\circ\), angle \(B\) is 110\(^\circ\), angle \(C\) is 70\(^\circ\), and angle \(D\) is 110\(^\circ\)
angle \(A\) is 60\(^\circ\), angle \(B\) is 50\(^\circ\), angle \(C\) is 120\(^\circ\), and angle \(D\) is 130\(^\circ\)
angle \(A\) is 100\(^\circ\), angle \(B\) is 110\(^\circ\), angle \(C\) is 70\(^\circ\), and angle \(D\) is 80\(^\circ\)
angle \(A\) is 70\(^\circ\), angle \(B\) is 45\(^\circ\), angle \(C\) is 110\(^\circ\), and angle \(D\) is 45\(^\circ\)
6.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the measure of angle \(YXZ\)?
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.A.2
7.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the measure of angle \(ACB\)?
Evaluate responses using AI:
OFF
Tags
CCSS.HSG.C.A.2
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