A quilt piece is designed with four congruent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus. Which measures are true for the quilt piece? Select three options.
Answers
Answer:
1.a = 60°
3.The perimeter of the rhombus is 16 inches.
5.The length of the longer diagonal is approximately 7 inches.
Step-by-step explanation:
Missing options are
1.a = 60°
2.x = 3 in.
3.The perimeter of the rhombus is 16 inches.
4.The measure of the greater interior angle of the rhombus is 90°.
5.The length of the longer diagonal is approximately 7 inches.
Missing Fig attached :
a = 60 ° is correct
as a + 30° = 90°
x² = 4² - 2²
=> x² = 12
=> x = 2√3 = 3.464 ≠ 3
hence x = 3 is not correct
Perimeter of rhombus = 4 * 4 = 16 inches
The perimeter of the rhombus is 16 inches is correct
Interior angles of rhombus are 30 + 30 = 60 & 60 + 60 = 120°
measure of the greater interior angle of the rhombus = 120°
The measure of the greater interior angle of the rhombus is 90°. is incorrect
The length of the longer diagonal = 2x = 2* 3.464 = 6.93 ≈ 7
.The length of the longer diagonal is approximately 7 inches is correct
