In the rhombus PQRS, SQ is an altitude and ST ? SP . Prove that TQRS is an isosceles trapezoid.
(Outline) TQ // SR (Given). US ? US (Identity), ?PUS ? ?TUS (HL), ?STU ? ?SPU
(C.P.), ?SPU ? ?RQS (Corresponding angles), ?STU ? ?RQS (transitive), therefore TQRS is an isosceles trapezoid since its base angles are congruent.
Mathematics
You might also like to view...
Use the basic identities to simplify the expression.(1 - cos ?)(1 + cos ?) - sin2 ?
A. sin2 ? B. 2 C. 1 D. 0
Mathematics
Write the inequality in interval notation.x > 2
A. (-?, 2) B. (?, 2) C. (2, -?) D. (2, ?)
Mathematics
Solve the equation. = 7
A. {7}
B.
C. {49}
D. ?
Mathematics
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. 4x + 8z= 60 7y + 9z = 70 3x + 9y + 6z = 54
A.
=
B.
=
C.
=
D.
=
Mathematics