Answers Fall 24 GMS Geometry Concepts and Connections BSolving for Angle Measures of Right Triangles

Special Parallelograms Answers

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Which measures are true for the quilt piece? Select three options.

a = 60°

x = 3 in.

The perimeter of the rhombus is 16 inches.

The measure of the greater interior angle of the rhombus is 90°.

The length of the longer diagonal is approximately 7 inches.

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The perimeter of square JKLM is 48 units.

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.

10 units

17 units

20 units

34 units

The figure shown is a rhombus.

x + y = z

2x = y + z

z + x = 2y

2x + 2y = 4z

Figure ABCD is a parallelogram.

The figure is a parallelogram. One diagonal measures 28 units.

No, it is not a rectangle because the diagonals are congruent.

No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.

Yes, it is a rectangle because the diagonals are congruent.

Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

ABCD is a square.

5 units

7 units

11 units

13 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.

14 units

28 units

33 units

45 units

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.

2.8 units

3.3 units

4.0 units

5.7 units

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

31 units

39 units

41 units

49 units

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