Topic 5 - Relationships in Triangles Review

Tags

CCSS.HSG.CO.C.9

When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? Select the true statement.

• This makes the arcs perpendicular to each other.

• This makes the arcs equidistant from each other.

• This makes the intersections of the arcs equidistant from the endpoints.

• This makes the arcs parallel to the segment.

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.HSG.CO.C.9

If m∠XWY = 20, m∠XWZ = 40, and XY = 16, what is the value of YZ?

Tags

CCSS.HSG.CO.C.9

Select all the descriptions of the figure that MUST be true.

• x = 8

• KN = 24

• MN = 52

• KL ≅ ML

• LN ≅ LM

Tags

CCSS.HSG.CO.C.9

Select all the conditions that would be enough to prove that P is the incenter of △HJK.

• L, M, and N are the midpoints of HK, HJ, and KJ.

• PL ≅ PM ≅ PN

• PK ≅ HP ≅ PJ

• △HJK is an acute triangle.

• KP, HP, and JP are angle bisectors of the triangle

Tags

CCSS.HSG.C.A.3

Assume P is the incenter of △HJK. If LP = 4x + 10 and MP = 8x – 2, what is the radius of the inscribed circle of △HJK?

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CCSS.HSG.C.A.3

Which point is the center of a circle that contains R, S, and T?

• L

• M

• N

• P

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CCSS.HSG.C.A.3

When constructing the incenter of a triangle, why do you first construct the angle bisectors of two angles? Select the true statement.

• Because you need the angle bisectors of all the angles.

• Angle bisectors are perpendicular to each other.

• Angle bisectors are equidistant from the vertices of the triangle.

• The intersections of angle bisectors are equidistant from the sides of the triangle.

Tags

CCSS.HSG.C.A.3

Select all the statements that are true for △ABC.

• The medians and altitudes intersect at the same point.

• The altitudes intersect outside of the triangle.

Tags

CCSS.HSG.CO.C.10