Triangle Congruence Perpendicular Bisector

What is a perpendicular bisector?

• A perpendicular bisector is a line or line segment that divides another line segment into two equal parts at a right angle.

• A perpendicular bisector is a line that divides another line segment into two unequal parts at a right angle.

• A perpendicular bisector is a line or line segment that divides another line segment into two equal parts at an obtuse angle.

• A perpendicular bisector is a line or line segment that divides another line segment into two equal parts at an acute angle.

Tags

CCSS.4.G.A.1

In a triangle, if a line segment is a perpendicular bisector of one side, what can we say about the other two sides?

• The other two sides are equal in length.

• The other two sides are congruent.

• The other two sides are parallel.

• The other two sides are perpendicular.

Tags

CCSS.HSG.CO.C.9

True or False: The perpendicular bisector of a side of a triangle is always perpendicular to that side.

• Not always

• True

• Sometimes

• False

Tags

CCSS.HSG.CO.C.9

What is the definition of congruent triangles?

• Triangles that have the same shape but different sizes.

• Triangles that have the same shape and size.

• Triangles that have the same shape but different angles.

• Triangles that have the same size but different shapes.

Tags

CCSS.8.G.A.2

In triangle congruence, what does it mean if two triangles are congruent?

• They have the same size but different shape.

• They have neither the same size nor the same shape.

• They have the same shape but different size.

• They have the same size and shape.

Tags

CCSS.8.G.A.2

True or False: If two triangles are congruent, then their corresponding sides and angles are equal in measure.

• True

• False, corresponding sides are equal but angles may not be

• False, corresponding angles are equal but sides may not be

• True, but only corresponding sides are equal in measure

Tags

CCSS.8.G.A.2

What is the Perpendicular Bisector Theorem?

• The Perpendicular Bisector Theorem states that if a point lies on the bisector of a segment, then the point is equidistant from the endpoints of the segment.

• The Perpendicular Bisector Theorem states that if a point lies on the perpendicular bisector of a segment, then the point is not equidistant from the endpoints of the segment.

• The Perpendicular Bisector Theorem states that if a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment.

• The Perpendicular Bisector Theorem states that if a point lies on the perpendicular of a segment, then the point is equidistant from the endpoints of the segment.

Tags

CCSS.HSG.CO.C.9

In triangle congruence, what does it mean if two triangles are congruent by SAS?

• Two triangles are congruent by SAS if two angles and the included side of one triangle are congruent to the corresponding angles and included side of the other triangle.

• Two triangles are congruent by SAS if all three sides of one triangle are congruent to the corresponding sides of the other triangle.

• Two triangles are congruent by SAS if two angles and the non-included side of one triangle are congruent to the corresponding angles and non-included side of the other triangle.

• Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of the other triangle.

Tags

CCSS.HSG.SRT.B.5

True or False: If two triangles are congruent by SAS, then their corresponding angles are equal in measure.

• False

• Not necessarily

• Sometimes

• True

Tags

CCSS.HSG.CO.B.7

What is the Perpendicular Bisector Converse?

• If a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of that segment.

• The Perpendicular Bisector Converse states that a point cannot be equidistant from the endpoints of a segment.

• If a point is equidistant from the endpoints of a segment, then it does not lie on the perpendicular bisector of that segment.

• If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment.

Tags

CCSS.HSG.CO.C.9