U2 L-14 through 15 Quadrilaterals

Select the statement that must be true.

• Parallelograms have at least one right angle. 

• If a quadrilateral has opposite sides that are both congruent and parallel, then it is a parallelogram. 

• Parallelograms have congruent diagonals. 

• The height of a parallelogram is greater than the lengths of the sides.

Tags

CCSS.HSG.CO.C.11

Select all statements that must be true:

• EFGH is a rectangle.

• Triangle HEF is congruent to triangle GFH.

• ED is congruent to HD, DG, and DF.

• Triangle HEF is congruent to triangle FGH.

• Triangle EDH is congruent to triangle HDG.

Tags

CCSS.HSG.CO.C.11

Figure KLMN is a parallelogram so line MN is parallel to line KL and line KN is ​ (a)   to line LM. Angle KLN and angle MNL are congruent, and angle KNL and angle MLN are congruent, because of the ​ (b)   Theorem. Line segment NL is congruent to line segment LN because they are the ​ (c)   segment. Therefore, triangle KNL is congruent to triangle MLN by the ​ (d)   Theorem.

 

• parallel
• Alternate Interior Angles
• same
• Angle Side Angle

Tags

CCSS.HSG.SRT.B.5

The triangles need not be congruent because ​ (a)   parts are not congruent.

For example, AB is not ​ (b)   to ED or ∠A and ∠D are ​ (c)   congruent. 

• not
• corresponding
• congruent

Triangle DAC is isosceles with congruent sides AD and AC.

Which additional given information is sufficient for showing that triangle DBC is isosceles?

• Segment DB is congruent to segment BC.

• Segment AB is congruent to segment BD.

• Angle ABD is congruent to angle ABC.

• Angle ADC is congruent to angle ACD.

Tags

CCSS.HSG.SRT.B.5

• congruent
• themselves
• SAS
• corresponding
• parallel

Tags

CCSS.HSG.C.A.3

Given that EFGH is a parallelogram and angle HEF is right, which reasoning about angles will help her prove that angle FGH is also a right angle?

• Corresponding angles are congruent when parallel lines are cut by a transversal.

• Opposite angles in a parallelogram are congruent.

• Vertical angles are congruent.

• The base angles of an isosceles triangle are congruent.

Tags

CCSS.HSG.CO.C.11