Topic 1 Review: Using Inductive Reasoning and Conjectures

Tags

CCSS.HSG.CO.A.1

Using only the labeled points, what are the angles (less than 180°) that have vertex G ?

Select all that apply.

A (a)   starts at one point and goes on forever in one direction.

Tags

CCSS.4.G.A.1

Fill in the blank with the most appropriate word.

If three points are coplanar, they are collinear.

• always

• sometimes

• never

Three towns, Rap City, Hiphopton, and Rockville are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position close as possible to all three roads. To do this she needs to find the of the triangle formed by the three roads.

• center

• incenter

• circumcenter

Tags

CCSS.HSG.C.A.3

The circumcenter of a triangle is equidistant from the of the triangle because it is the intersection of the triangle's .

• vertices; perpendicular bisectors

• vertices; angle bisectors

• sides; perpendicular bisectors

• sides; angle bisectors

Tags

CCSS.HSG.C.A.3

Three towns, Rap City, Hiphopton, and Rockville are linked by three straight roads. A radio station wants to position an antenna so that each town receives broadcast signals that are the same strength. The station engineers need to locate the of the triangle formed by the roads.

• center

• circumcenter

• incenter

Tags

CCSS.HSG.C.A.3

Fill in the blank with the most appropriate word.

The incenter of a triangle is in the interior of a triangle.

• always

• sometimes

• never

Tags

CCSS.HSG.C.A.3

Which of the following states are true about a triangle's incenter?

Select all that apply.

• It is equidistant from the 3 sides of the triangle.

• It is the point at which the triangle's angle bisectors intersect.

• It is the center of the circle inscribed in a triangle.

• It is equidistant from the 3 vertices of the triangle.

Tags

CCSS.HSG.C.A.3