Unit Test Answers

Figure TUVS is a parallelogram.

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).

Kite FGHK is shown.

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

EFGH is a rhombus.

Rhombus LMNO is shown with its diagonals.

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Quadrilateral A B D C is shown.

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, andOP = (2x – 1) m.

Trapezoid A B C D is shown. A diagonal is drawn from point B to point D. Sides B C and A D are parallel. Sides B A and C D are congruent. Angle C B D is 24 degrees and angle B A D is 116 degrees.

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm.

Figure CDEF is a parallelogram.

WXYZ is a trapezoid with WX ≅ YZ.

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2).

Parallelogram R S T U is shown. Angle S is 70 degrees.

ABCD is a square.

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

Given: AD ≅ BC and AD ∥ BCProve: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent 4. AC ≅ AC 4. reflexive property 5. △CAD ≅ △ACB 5. SAS congruency theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7. parallelogram side theorem What is the missing reason in step 6?

Figure ABCD is a parallelogram.

Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.

Figure ABCD is a parallelogram.

The figure shown is a rhombus.

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).

The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles.

Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x minus 3) meters and the length of line segment V S is (3 x minus 13) meters.

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

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

Figure ABCD is a kite.

Figure ABCD is a parallelogram.

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

Figure ABCD is a parallelogram.

Figure JKLM is a kite.

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A vegetable garden is in the shape of a parallelogram with the dimensions shown.

Figure VWYX is a kite.

A square with diagonals is shown. The distance from one point to the middle point is x. The length from the center point to another point is x. The length of a side is 8.

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x.

Parallelogram L O N M is shown. Diagonals are drawn from point L to point N and from point O to point M and intersect at point Q. The length of line segment O Q is (2 x + 3) centimeters and the length of lines segment Q M is (3 x minus 4) centimeters.

Figure LMNO is a parallelogram.