The metamaterial-induced transparency (MIT) effect has significant potential applications in the design of optical switches, slow-light devices, and so on. Here, we designed a bright-mode terahertz metamaterial structure combined with an L-shaped metal strip and a cut wire (CW) to realize the MIT effect. We have observed that the MIT can be modulated by changing the effective length of the L-shaped structure, showing the MIT window transmission increases with the increased length. Furthermore, the spacing between the two L-shaped structures and the CW also has the remarkable influence on the spectrum, exhibiting the increased MIT window with the increased spacing. Finally, we have further investigated the transmission spectrum under the polarization of the incident terahertz wave along the vertical direction, and found that the MIT effect disappears, indicating that this structure is polarization sensitive. We demonstrate that the MIT effect can be effectively modulated by the geometric parameters. Our work is widely promising for terahertz photonic device applications.