Check Point Answers 315
- The area of a right triangle with legs of 3 cm and 4 cm and hypotenuse of 5 cm is 6 square
centimeters.
The altitude from the right angle to the hypotenuse is 2.4 centimeters long.
Chapter 14
- In quadrilateral ABCD, AB CD and BCAD. ABCD is a parallelogram because both pairs of
opposite sides are parallel.
- In quadrilateral PQRS, with diagonal PR QRP # SPR and QPR # SRP. PQRS is a
parallelogram. The congruent alternate interior angles prove that both pairs of opposite sides
are parallel.
- In quadrilateral FORK, F # K and FO = RK. There is sufficient information to say FORK is a
parallelogram.
- In quadrilateral LAMP, with diagonals LM and AP intersecting at S, 'ALS # 'PMS and
'AMS # 'PLS. The congruent triangles assure that both pairs of opposite sides are congruent,
so LAMP is a parallelogram.
- In quadrilateral ETRA, with diagonals ER and TA intersecting at X, TX = RX and EX = AX.
There is not enough information to guarantee that ETRA is a parallelogram.
- In quadrilateral FORT, FO OR, OR RT and OR FT. FORT is a rectangle.
- In quadrilateral CAMP, CA = AM = MP = CP and AM MP. CAMP is a square.
- In quadrilateral VA S E, diagonals VS and AE are congruent, but sides VA and AS are not. VA S E is
a rectangle.
- In quadrilateral SOAP, SO AP and AO SP. SOAP is a parallelogram.
- In quadrilateral COLD, diagonals CL and OD are perpendicular bisectors of one another, but they
are not congruent. COLD is a rhombus.
- In trapezoid ABCD, AC BD and MN is a median. AC = 14 cm and BD = 30 cm. Median MN
measures 22 cm.
Abh
h
h
h
1
2
6 1
2
5
12 5
2.4
