Central Angles Answers

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. Each diagonal of the square window measures 9 inches.

The figure shown is a rhombus.

Rectangle PQRS is shown with its diagonals, PR and QS.

Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7.

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.

A square with diagonals is shown. The distance from one point to the middle point is x. The length from the center point to another point is x. The length of a side is 8.

Consider the diagram and proof below.Given: WXYZ is a parallelogram, ZX ≅ WYProve: WXYZ is a rectangle Statement Reason1.WXYZ is a ▱; ZX ≅ WY1.given2.ZY ≅ WX2.opp. sides of ▱ are ≅3.YX ≅ YX3.reflexive4.△ZYX ≅ △WXY4.SSS ≅ thm.5.∠ZYX ≅ ∠WXY5.CPCTC6.m∠ZYX ≅ m∠WXY6.def. of ≅7.m∠ZYX + m∠WXY = 180°7.?8.m∠ZYX + m∠ZYX = 180°8.substitution9.2(m∠ZYX) = 180°9.simplification10.m∠ZYX = 90°10.div. prop. of equality11.WXYZ is a rectangle11.rectangle ∠ thm.What is the missing reason in Step 7?

The perimeter of square JKLM is 48 units.

A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3.

Rhombus LMNO is shown with its diagonals.