Figures in the Coordinate Plane (Sec 9-1) — Unit test Answers

Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees.

Given: AB ≅ CD and AD ≅ BCProve: ABCD is a parallelogram. Statements Reasons1.AB ≅ CD;AD ≅ BC1.given2.AC ≅ AC2.reflexive property3.△ADC ≅ △CBA3.?4.∠DAC ≅ ∠BCA; ∠ACD ≅ ∠CAB4.CPCTC5.∠DAC and ∠BCA are alt. int. ∠s;∠ACD and ∠CAB are alt. int. ∠s5.definition of alternate interior angles6.AB ∥ CD; AD ∥ BC6.converse of the alternate interior angles theorem7.ABCD is a parallelogram7.definition of parallelogramWhat is the missing reason in step 3?

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

For a craft project, two equilateral triangles are taped together to create a quadrilateral.

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.