Let’s go through each question one by one, step by step.
---
Question 1:
The shape shown has four sides, and all sides are marked with the same tick marks — meaning all four sides are equal in length. It also looks like opposite angles are equal, and it’s not necessarily a square (no right angle markings).
- A
square must have 4 equal sides AND 4 right angles → we don’t see right angles here.
- A
rhombus is a quadrilateral with 4 equal sides → this fits.
- All rhombuses are also parallelograms and quadrilaterals → so those terms are technically true too, but we want the *most specific* correct name.
Looking at the options:
A) square → too specific (needs right angles)
B) square rhombus → redundant and incorrect phrasing
C) quadrilateral, parallelogram, rhombus → all true, and lists from general to specific → best answer
D) quadrilateral, parallelogram, square → includes “square” which may not be correct
✔ So,
C is correct because it correctly identifies the shape as all three: it’s a quadrilateral (4-sided), a parallelogram (opposite sides parallel), and specifically a rhombus (all sides equal).
---
Question 2:
“If a shape is a square, then it is also a rectangle and a rhombus.”
Let’s think:
- A
rectangle has 4 right angles → squares have that
✔
- A
rhombus has 4 equal sides → squares have that
✔
- So yes — every square is both a rectangle and a rhombus.
This statement is
TRUE.
✔ Answer:
B
---
Question 3:
The shape shown has 4 sides, but no sides appear to be parallel or equal. Let’s check the options:
A) rhombus → needs 4 equal sides → no
B) trapezoid → needs exactly one pair of parallel sides → doesn’t look like any are parallel
C) parallelogram → needs two pairs of parallel sides → nope
D) quadrilateral → just means 4-sided polygon → YES, that’s always true for any 4-sided shape
Even if it’s irregular, as long as it has 4 sides, it’s a quadrilateral.
✔ Answer:
D
---
Question 4:
“A trapezoid is a quadrilateral with exactly ONE set of parallel sides.”
This depends on definition. In many U.S. school curricula (especially middle/high school), a trapezoid is defined as having
exactly one pair of parallel sides. Some definitions say “at least one,” but since this quiz likely follows the common school definition, and the word “exactly” is used, we’ll go with that.
So, under the standard K–12 math definition → this is
TRUE.
✔ Answer:
B
*(Note: If your teacher uses the inclusive definition (“at least one”), this could be false — but given the context of this quiz, B is expected.)*
---
Question 5:
Shape shown: 4 sides, one pair of parallel sides (top and bottom), and one right angle on the left side. This is a
right trapezoid.
Check options:
A) quadrilateral, parallelogram → parallelogram requires TWO pairs of parallel sides → no
B) quadrilateral, trapezoid → YES! It’s a 4-sided figure with exactly one pair of parallel sides → perfect
C) quadrilateral, kite → kite has two pairs of adjacent equal sides → not matching
D) quadrilateral → true, but less specific than B
We want the most accurate description →
B gives us both the general category (quadrilateral) and the specific type (trapezoid).
✔ Answer:
B
---
Final Answer:
1. C
2. B
3. D
4. B
5. B
Parent Tip: Review the logic above to help your child master the concept of classifying quadrilaterals worksheet.