Download Rectangles, Rhombi, and Squares Homework

Geometry Part 2
Name ______________________
Unit 7 Day 3 – Rectangles, Rhombi, and Squares Homework
Read through pages 419 – 421 in your textbook. Use this information to complete the following.

A rectangle is a parallelogram with four __________ angles.
Properties of Rectangles:

All four angles are __________ angles.

Opposite sides are _____________ and ______________.

Opposite angles are ______________.

Consecutive angles are __________________.

Diagonals ___________ each other.

Diagonals are ______________.
Read Example 1 on P. 419 and complete the Guided Practice problems.
1A) If TS = 120 meters, find PR.
1B) If mPRS = 64, find mSQR.
Read Example 2 on P. 420 and complete the Guided Practice problem.
2) If JP = 3y – 5 and MK = 5y + 1, find y.

If the diagonals of a parallelogram are ______________, then the parallelogram is a rectangle.
Read Example 3 on P. 420-421 and complete the Guided Practice problem.
3) SET DESIGN Leonardo measures the sides of his figure and confirms
that they have the desired measures as shown. Using a carpenter’s
square, he also confirms that the measure of the bottom left corner of
the figure is a right angle. Can he conclude that the figure is a
rectangle? Explain.
Read through pages 426 – 429 in your textbook. Use this information to complete the following.

A rhombus is a parallelogram with all four sides ______________.
A rhombus has all of the characteristics of a parallelogram and two additional characteristics.

If a parallelogram is a rhombus, then its diagonals are __________________.

If a parallelogram is a rhombus, then each diagonal ____________ a pair of opposite angles.
Read Example 1 on P. 427 and complete the Guided Practice problems.
1A) If FK = 5 and FG = 13, find KJ.
1B) If mJFK = 6y + 7 and mKFG = 9y – 5, find y.

A square is a parallelogram with four ______________ sides and four __________ angles.

A parallelogram that is both a rectangle and a rhombus is also a ___________.
Complete the Venn diagram below by placing the following words in the correct place: parallelograms, rectangles, rhombi,
squares.
Quadrilaterals

If the diagonals of a parallelogram are perpendicular, then the parallelogram is a ____________.

If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a ____________.

If one pair of consecutive sides of a parallelogram are congruent, the parallelogram is a ____________.

If a quadrilateral is both a rectangle and a rhombus, then it is a ___________.
Read Example 3 on P. 429 and complete the problem below.
3) GARDENING Hector is measuring the boundary of a new garden. He wants the garden
to be square. He has set each of the corner stakes 6 feet apart. What does Hector need
to know to make sure the garden is square?