Answers OC27 GEO-1206310-S2-Degele-VOL7006PUnit Test

Chapter 7 Unit TEST: Quadrilaterals and Other Polygons Answers

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Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7.

10 units

17 units

20 units

34 units

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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

Use the distance formula to find the length of each side, and then add the lengths.

Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.

Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.

Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Which quadrilateral is a kite?

Quadrilateral A B C D is shown. Sides B C and C D are congruent. Sides A B and A D have different lengths.

Quadrilateral E F G H is shown. Angles E and G are congruent. Sides E F and F G are congruent. Sides G H and E H are congruent.

Quadrilateral J K L M is shown. Sides K L and J M are parallel. The lengths of J K and L M are congruent. Angles J and M are congruent.

Quadrilateral N O P Q is shown. Sides O P and N Q are parallel. Sides O N and P Q are parallel. Angles P and N are congruent.

The figure is a parallelogram. One diagonal measures 28 units.

No, it is not a rectangle because the diagonals are congruent.

No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Yes, it is a rectangle because the diagonals are congruent.

Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

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

31 units

39 units

41 units

49 units

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.

2 cm

5 cm

6 cm

9 cm

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.

45°

65°

115°

135°

Which quadrilateral is a trapezoid?

Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.

Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.

Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.

Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.

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?

triangle angle sum theorem

SAS congruency theorem

SSS congruency theorem

CPCTC

Which measures are true for the quilt piece? Select three options.

a = 60°

x = 3 in.

The perimeter of the rhombus is 16 inches.

The measure of the greater interior angle of the rhombus is 90°.

The length of the longer diagonal is approximately 7 inches.

Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees.

35°

75°

105°

155

The perimeter of square JKLM is 48 units.

On a coordinate plane, trapezoid K L M N is shown. Point K is at (negative 2, negative 4), point L is at (negative 4, negative 2), point M is at (negative 2, negative 1), and point N is at (negative 1, negative 2).

units

+ units

LMNP is a parallelogram.

The length of LM is and the length of MN is .

The slope of LP and MN is –2.

LM ∥ PN

LP ⊥ PN

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame.

8 cm

16 cm

30 cm

60 cm

On a coordinate plane, rhombus A B C D is shown. Point A is at (1, 1), point B is at (negative 2, negative 3), point C is at (negative 5, 1), and point D is at (negative 2, 5).

10 units

20 units

units

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.