The diagonals divide each figure into four triangles.

Question

Which of the figures are always divided into four congruent triangles by the diagonals?

Answer 1

Square and rhombus are always divided into four congruent triangles by the diagonals.

Answer 2

a quadrilateral with four right angles

Which of the following classifications fits the description above?

I. parallelogram
II. rectangle
III. rhombus
IV. square
V. trapezoid

Answer 3

II. rectangle
III. rhombus
IV. square

Answer 4

Kenny drew a rhombus and a trapezoid on a piece of paper. He is asked to explain to another student how to tell the two quadrilaterals apart. Which is a reason that Kenny can give?
A. A rhombus has exactly two congruent sides, and a trapezoid has at least two congruent sides.
B. A rhombus has only has one pair of parallel sides, and a trapezoid is a parallelogram.
C. A rhombus is a parallelogram, and a trapezoid only has one pair of parallel sides.
D. A rhombus has four congruent sides, and a trapezoid always has at least two congruent sides.

Answer 5

A. A rhombus has exactly two congruent sides, and a trapezoid has at least two congruent sides.

Answer 6

Solve the following inequality.
x/3 + 8 <_ 2/7

Answer 7

To solve the inequality \( \frac{x}{3} + 8 \leq \frac{2}{7} \), we can first simplify the inequality:

\( \frac{x}{3} + 8 \leq \frac{2}{7} \)

Subtract 8 from both sides:

\( \frac{x}{3} \leq \frac{2}{7} - 8 \)

\( \frac{x}{3} \leq -\frac{54}{7} \)

Multiply both sides by 3 to isolate x:

\( x \leq -\frac{54}{7} \times 3 \)

\( x \leq -\frac{162}{7} \) or approximately \( x \leq -23.14 \)