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Sampson 2015-16
Name:__________________________ Per:_______
Unit 5: Quadrilaterals – Learning Targets Self-Assessment
LT 1: I can identify and characterize the special properties of parallelograms.
1. Determine whether each figure is a parallelogram. Explain.
2.
Each figure below is a parallelogram. Can you also conclude it is a rhombus, rectangle or square? Explain.
3.
Determine whether each statement is Always, Sometimes, or Never true. Explain.
A. A rhombus is a square.
B. A square is a rectangle.
C.
A rhombus is a rectangle.
D. The diagonals of a parallelogram are perpendicular.
E.
The diagonals of a parallelogram are congruent.
F.
Opposite angles of a parallelogram are congruent.
LT 2: I can use the properties of parallelograms to solve problems.
Find the value of the numbered angles or variables in each problem below.
4. Each figure below is a parallelogram.
5. Each figure below is a special parallelogram.
6.
Draw parallelogram GHKJ and find the value of a: ∠𝐻 = 5𝑎°, ∠𝐺 = (20𝑎 + 30)°, ∠𝐾 = (17𝑎 + 48)°
Sampson 2015-16
Name:__________________________ Per:_______
LT 3: I can prove that rectangles are parallelograms with congruent diagonals.
7. Given: ABCD is a parallelogram and ̅̅̅̅
𝐴𝐶 ≅ ̅̅̅̅
𝐵𝐷
Prove: ABCD is a rectangle.
LT 4: I can prove the special properties of parallelograms: Opposite sides are congruent, opposite angles are congruent
and diagonals bisect each other.
8.
1.
ABCD is a parallelogram
1.
2.
̅̅̅̅
̅̅̅̅ and
𝐴𝐵 ∥𝐶𝐷
2.
3.
∠CBD ≅ ∠BDA
3.
4.
∠ABD ≅ ∠CDB
4.
5.
̅̅̅̅
̅̅̅̅
𝐵𝐷 ≅ 𝐵𝐷
5.
6.
∆ABD ≅ ∆CDB
6.
7.
∠A ≅ ∠C
7.
̅̅̅̅∥𝐵𝐶
̅̅̅̅
𝐴𝐷
9.
Draw in auxillary diagonals BD and AC.
1.
1.
Given
2.
2.
Definition of a parallelogram.
3.
If lines are parallel, then alternate interior
angles are congruent.
If lines are parallel, then alternate interior
angles are congruent.
Opposite sides of a parallelogram are
congruent.
3.
4.
5.
4.
5.
6.
6.
ASA
7.
7.
CPCTC
8.
8.
Definition of bisector
Sampson 2015-16
Name:__________________________ Per:_______
LT 4 (cont’d): I can prove the special properties of parallelograms: Opposite sides are congruent, opposite angles are
congruent and diagonals bisect each other.
10.
Statements
Reasons
1.
2.
3.
4.
5.
6.
LT 5: I can use coordinate Geometry (distance, slope and midpoint) to prove that a quadrilateral is a parallelogram,
rhombus, rectangle or square.
11.
12. What is the most precise classification of each
quadrilateral?
G(2,5), R(5,8), A(-2, 12), D(-5,9)
Q(4,5), U(12,14), A(20,5), D(12, -4)
LT 6: I can use coordinate Geometry with variables to prove that a quadrilateral is a parallelogram, rhombus, rectangle
or square.
13. Determine the most precise classification of the
14. Prove the diagonals of square ABCD are congruent.
quadrilateral below using coordinates.
(b+c, d)
Sampson 2015-16
Name:__________________________ Per:_______