3rd Quarter Summative (Quadrilaterals)
Quiz by DiCNHS Math Dept.
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- Q 1/20Score 0
What condition would confirm that the given quadrilateral is a parallelogram?
29Opposite sides are parallel and congruent.
Diagonals divide the parallelogram into two congruent triangles.
Diagonals bisect each other.
Opposite angles are congruent.
- Q1
What condition would confirm that the given quadrilateral is a parallelogram?
Opposite sides are parallel and congruent.
Diagonals divide the parallelogram into two congruent triangles.
Diagonals bisect each other.
Opposite angles are congruent.
30s - Q2
A gardener is designing a rectangular flower bed and wants to add a fence around it. The fence must form a parallelogram. The gardener measured the two opposite sides to be equal. What additional property must the fence satisfy to ensure it forms a parallelogram?
All sides must be of equal length.
Opposite sides must be parallel.
The diagonals must bisect each other.
The diagonals must be perpendicular.
30s - Q3
A carpenter is designing a rectangular wooden frame with one corner at an angle. The measure of one angle is (2x + 10)°, and the measure of the adjacent angle is (3x − 5)°. Based on the properties of rectangles, what is the value of x and what are the measures of the two angles?
x = 35, angles: 80° and 100°
x = 20, angles: 55° and 125°
x = 45, angles: 70° and 110°
x = 25, angles: 60° and 120°
60s - Q4
An interior designer is creating a custom table with a top shaped like a parallelogram. One of the angles measures x°. What is the measure of the opposite angle?
90° - x°
x°
2x°
180° - x°
30s - Q5
A carpenter is designing a rectangular table with a slanted tabletop. The table’s top surface is shaped like a parallelogram. The base of the tabletop is 8 feet, and the height from the base to the opposite side is 5 feet. The carpenter needs to cover the tabletop with a material that costs Php150 per square meter. (1 square meter = 10.764 square feet?)
How much will it cost the carpenter to cover the entire tabletop? (Nearest peso)
Php 550
Php 450
Php 600
Php 558
30s - Q6
Given Rhombus VWXY, Ana is asked by her teacher to arrange the step-by-step reasons in a two-column proof to prove that ∠1 ≅ ∠2 and ∠3 ≅ ∠4. Ana arranged the steps as II, I, III, IV. Is Ana correct in her arrangement? Justify your answers.
Yes -Ana is correct. The order II, I, III, IV logically aligns with the steps required to prove the congruence of the angles based on the properties of a rhombus.
No -Ana is incorrect. The correct order is III, I, II, IV.
Yes -Ana is correct. The steps II, I, III, IV correspond to the necessary reasons to justify the congruence of the angles using the properties of diagonals in a rhombus.
No -Ana is incorrect. The steps should be IV, III, I, II.
45s - Q7
You are an architect selected by your Mayor. Your task is to design a square plaza with a fountain at the intersection of its diagonals. You doubt whether the diagonals are congruent and perpendicular. You label the square as ABCD, with the intersection of its diagonals AC and BD at point O. Given the proof that the diagonals are congruent and perpendicular, which theorem can be used as a reason for proving the statement in number 9?
If two angles are congruent, then they are supplementary.
If two angles are supplementary, then they are congruent.
If two angles are both congruent and supplementary, then each is a right angle.
If two angles are right angles, then they are congruent.
45s - Q8
Which statement best differentiates squares from the rectangles?
Squares must have four 90° angles, rectangles do not have all 90° angles.
Squares have two sets of equal sides, rectangles have only one pair of equal sides.
Squares have the diagonals that bisect each other, rectangles have diagonals that are perpendicular.
Squares have four equal sides, rectangles have two pairs of equal opposite sides.
30s - Q9
In a rectangle SAVE, the length of diagonal SV = 30 cm. Find the length of side AD.
25 cm
20 cm
15 cm
30 cm
45s - Q10
In rectangle SAVE, m∠SEA = 60°, what is m∠VEA?
30°
45°
60°
65°
45s - Q1130s
- Q12
If one pair of opposite sides of a quadrilateral is parallel, and the other pair is non-parallel, why is it classified as a trapezoid?
Because opposite sides are congruent.
Because all four angles are equal.
Because the sum of the angles is 180°.
Because one pair of sides is parallel.
45s - Q13
Given a trapezoid with parallel sides AB and CD, and the lengths of these sides are AB=8 cm and CD=6 cm, what can we conclude about the midsegment MN of the trapezoid?
MN = 4 cm
MN = 8 cm
MN = 7 cm
MN = 14 cm
45s - Q14
Which of the following statements is TRUE about the diagonals of the kite?
They are always perpendicular to each other.
They always bisect each other.
They are always parallel to each other.
They are always equal in length.
30s - Q15
Your friend is constructing a kite and wants to calculate its area. Which of the following formulas would be the most appropriate to determine the area of the kite?
Area = (1/2)(diagonal1)(diagonal2)
Area = (length)(width)
Area = π r2
Area = (1/2) (base)(height)
60s
