Di un poligono sappiamo che: a) possiede la circonferenza inscritta; b) il suo perimetro misura \( 124 \mathrm{~cm}_{\text {; }} \) c) la sua area è di \( 744 \mathrm{~cm}^{2} \). Determina la misura dell'apotema del poli- gono regolare. [12 cm]

BLos estudiantes de 9 dibujaron un mural como el de la figura. Damyor \( =8 \mathrm{~m} \) y dmonor \( =2 \pi \mathrm{~m} \) ¿cuál es el área rayada de la figura?

In the pentagon \( A B C D E \) angle \( A C B= \) angle \( A E D=90^{\circ} \). Triangle \( A C D \) is equilateral with side length 12 cm . \( D E=B C=6 \) a. Calculate \( A E \).

What is the missing reason in step 3?Statements:1. m∠ TRV=60° m∠ TRS=(4x)^circ 2. ∠ TRS and ∠ TRV are a linear pair 3. m∠ TRS+m∠ TRV=180 4. 60+4x=180 5. 4x=120 6. x=30Reasons:1. given 2. definition of linear pair 3.? 4.substitution property of equality 5.subtraction property of equality 6. division property of equality substitution property of equalityangle addition postulatesubtraction property of equalityaddition property of equality

5. List TwO properties of each of the following: a) A Parallelogram b) A Rhombus c) A Rectangle d) A Trapezoid

3. Sketch and name a quadrilateral that fits each description. Make sure to label all equal sides and angles. a) The diagonals are equal, but the sides are not all equal. b) The diagonals are equal and all the sides are equal. c) The diagonals are not equal and no two sides are equal.